Answer: A
Step-by-step explanation:
The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.
Slope can rate of increase when it is positive. And rate of decrease when it is negative.
Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;
The height of the water increases 2 inches per minute. Which is option A
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far (in miles) is it from Jeremy's home to school?
Answer:
Step-by-step explanation:
18/60-12/60= 4 miles
just my guess
Taylor had \$147$147dollar sign, 147. Then she spent \$42$42dollar sign, 42 on sneakers. Then, Taylor earned \$53$53dollar sign, 53 by winning a race in her new sneakers! Estimate how much money Taylor has left
Answer:
She has 158 dollars.
Step-by-step explanation:
This problem tells us that originally Taylor had 147 dollars, but she spent 42 dollars on sneakers, thus she now has [tex]147-42 = 105[/tex] dollars. However, she later won a race wearing those sneakers and earned 53 dollars, therefore she now has [tex]105 + 53 = 158[/tex] dollars.
Thus, Taylor has 158 dollars left now.
A square tile has a piece broken off it with 7cm².If the area of the remaining rule is 137cm²,what were the dimensions of the original tile?
Answer:
12 cm × 12 cm.
Step-by-step explanation:
It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².
Total area of square = 7 + 137 = 144 cm² ...(1)
Area of a square is
[tex]Area=a^2[/tex] ...(2)
where, a is side length of square.
From (1) and (2), we get
[tex]a^2=144[/tex]
Taking square root on both sides.
[tex]a=\sqrt{144}[/tex]
[tex]a=12\ cm[/tex]
Therefore, the dimensions of the original tile are 12 cm × 12 cm.
Please help! "Create a real-life scenario involving an angle of elevation or depression. Draw an appropriate diagram and explain how to solve your example."
Answer:
Height of the kite = 86.60 meter (Approx)
Step-by-step explanation:
The angle of elevation to see a kite from a stone lying to the ground is 60 degrees. If a thread is tied with a kite and a stone, then that thread is 100 meters long, find the height of the kite.
Given:
Length of thread = 100 meter
Angle of elevation = 60°
Find:
Height of the kite.
Computation:
Using trigonometry application:
Height of the kite / Length of thread = Sin 60°
Height of the kite / 100 = √3 / 2
Height of the kite = [√3 / 2]100
Height of the kite = 50√3
Height of the kite = 86.60 meter (Approx)
The side length of an equilateral triangle is 6 cm. What is the height of the triangle? 2
Answer:
h=3√3 cm
Step-by-step explanation:
An equilateral triangle has 3 Equal sides
The height of an equilateral triangle with side a =a√3/2
That is,
h=a√3/2
Where,
h=height of the equilateral triangle
a=side length
From the triangle given,
a=6cm
Therefore,
h=6√3/2
=3√3
h=3√3 cm
the question is in the attachment...
Answer:
11 minutes. 1/4 of 44 is 11
Please help I am not sure how to solve this problem.
Answer:
Measure of arc TSU = 201°
Step-by-step explanation:
For the inscribed circle of triangle XYZ, we have;
∠XZY = 21°
Segment TZ and segment UZ are tangent to circle R
Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)
Length UR = Length TR = Radius of circle R
∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency
∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)
∠XZY = ∠RZT + ∠RZU (Angle summation)
21° = ∠RZT + ∠RZU = 2×∠RZU (Transitive property)
∠RZU = 21°/2 = 10.5° = ∠RZT
∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)
arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)
∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)
Measure of arc TSU = 201°.
after 15 years mary age will be fourtimes of her present age find her present age
i cant see the answers anyone else has the problem
Answer: im having the same problem
Step-by-step explanation:
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
Answer:
Part A:
[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]
Part B:
The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.
It means:
[tex]\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
[tex]\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
[tex]\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]
But when it is about division:
[tex]\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}[/tex]
Example of subtraction of polynomials:
[tex](2x^2+2x+3) - (x^2+5x+2)[/tex]
[tex]x^2-3x+1[/tex]
Step-by-step explanation:
First, it is very important to define what is a polynomial in standard form:
It is when the terms are ordered from the highest degree to the lowest degree.
Therefore I can give:
[tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex]
but,
[tex]x^5+3x^3-3x^2+7x+20-5x^4[/tex] is not in standard form.
For this question, I can simply give the answer: [tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex] and it is correct.
But I will create a fifth-degree polynomial using this formula
[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex]
Also, note that
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
For [tex]a=x \text{ and } b=7[/tex]
[tex]$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$[/tex]
[tex]\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5[/tex]
Sorry but I will not type every step for each value of [tex]k[/tex]
The first one is enough.
For [tex]k=0[/tex]
[tex]$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$[/tex]
Doing that for [tex]k[/tex] values:
[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]
Answer:
Ty for the free pointsd!
Step-by-step explanation:
can someone please help me
Answer:
B
Step-by-step explanation:
Because this equation is just a normal greater than symbol, it has to be a dotted line.
This graph starts at -2 and goes up 1 and right 3(this cancels out C as an option)
Than you shade the region with the larger number vaules, since it is greater than.
Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the expression 18 – 3g to find the number of tickets she has left after playing g games. Diego correctly wrote another expression, 3(6 – g), that will also find the number of tickets Zhi has left after playing g games. Use the drop-down menus to explain what each part of Zhi's and Diego's expressions mean.
Answer: In zhi's equation, the 18 is the initial amount of tickets, and the 3g means 3 times the amount of games.
Diegos equation is the same, but write in factorised form. The 3 multiplies with the 6 to create 18, and the 3 multiple with the g to create 3g
Which equation is modeled below?
4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles.
2 x + (negative 2) = negative 2 x + 6
4 x + (negative 2) = negative 2 x + 6
2 x + 4 = 6 x + 2
Negative 2 x + 4 = 6 x + (negative 2)
(Ignore the filled in bubble)
Answer:
B
Step-by-step explanation:
4 (x) + 2 (-1) = 2 (-x) + 6(1)
4x + -2 = -2x + 6
The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
From the given figure,
x+x+x+x+(-1-1)=(-x-x)+(1+1+1+1+1+1)
⇒ 4x-2=-2x+6
So, equation modeled as 4x-2=-2x+6
The equation for the given figure is 4x-2=-2x+6. Therefore, option B is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Hey loves. Again, needing help with a math question.When will this end? Never, or at least until I get it.:). Help is much appreciated
Answer:
Hey there!
SL=KR
We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:
SL=SK+KL
KR=SK+KL
These are clearly congruent, making these two lines congruent.
Hope this helps :)
Jordon will play a triangle at his school’s music program. As its name suggests, the musical instrument is shaped like a triangle. Jordon has customized the dimensions to produce a unique melody, which is played when the shortest side is hanging down, parallel to the ground. Which side of the musical instrument should be parallel to the ground if its dimensions are as shown in the diagram?
Answer:
A. AB
Step-by-step explanation:
Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.
What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.
m < A = 59°
m < C = 57°
m < C = 180 - (59+57) (sum of angles in a triangle)
m < C = 64°
The smallest angle out of the three angles is angle C = 57°.
The side opposite it, is side AB.
Side AB is the shortest side of ∆ABC.
Therefore, AB should be parallel to the ground.
The
side
of the musical instrument that should be parallel to the ground if the
dimensions
are as given is side AB, which is option A.
Given that:
Jordon will play a
triangle
in his school’s music program.
When playing, the shortest side
is hanging down,
parallel
to the ground.
From the figure:
m∠A = 59°
m∠C = 57°
By the
angle sum
property,
m∠A + m∠B + m∠C = 180°
59° + m∠B + 57° = 180°
m∠B + 116° = 180°
m∠B = 180° - 116°
= 64°
The
shortest side
will be the side that is opposite to the smallest angle.
So, the smallest side is the side opposite to C.
So, the side is AB.
Hence, the side is AB, which is option A.
Learn more about
Triangles
here :
https://brainly.com/question/2773823
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A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to $\frac12$. If the original numerator was a 2, what was the original denominator
Answer:
Original denominator=9
Step-by-step explanation:
A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.
Original Numerator=2
The new numerator after the addition of 5 will be 2+5=7
New Numerator=7
New denominator=x
Value of the fraction=1/2
The Fraction is written in the form:
7/x=1/2
Cross product
7*2=1*x
14=x
x=14
Therefore, the new denominator (x)=14
Check:
7/14=1/2
Original denominator before 5 was accidentally added
=14-5
=9
if a student is selected at random find the probability the student is a male given that it's a senior. Round to the nearest whole percent.
Answer: 40%.
Step-by-step explanation:
From the table : Total Seniors = 2+3= 5
Number of male seniors = 2
If a student is selected at random find the probability the student is a male given that it's a senior:
P(Male | senior)[tex]=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}[/tex]
[tex]=\dfrac{2}{5}[/tex]
In percent, [tex]\dfrac{2}{5}\times100=40\%[/tex]
Hence, the probability the student is a male given that it's a senior. =40%.
The probability of the student is a male senior is 7%.
Given, here from the 2- way table the total no. students will be 30.
We have to find out the probability of the student select at random, student is a senior male .
We know that, the probability of an event E, will be
[tex]P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}[/tex]
Now,
[tex]P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\[/tex]
Representing it in percentage as,
[tex]P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%[/tex]
Hence the nearest whole percent will be 7%.
Thus probability of the student is a male senior is 7%.
For more details on probability follow the link:
https://brainly.com/question/795909
Consider the line . y = 7/3x +2 Find the equation of the line that is parallel to this line and passes through the point . (-9,4) Find the equation of the line that is perpendicular to this line and passes through the point (-9,4)
Answer:
parallel lines have the same slope. so your new equation will be y = 7/3x + b
to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.
a. 4 = (7/3)(-9) + b
b. 4 = -21 + b
c. b = 4 +21
d. b = 25
your equation is y = 7/3x + 25
perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b
to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.
a. 4 = (-3/7)(-9) + b
b. 4 = (27/7) + b
c. b = 4 - (27/7)
i. (112/28) - (108/28) = 4/28
d. b = 1/7
your equation is y = -3/7x + 1/7
hope this helps :)
1. In triangle ABC. A-54.2° B=71.5º, a=12 4cm. Find b
Answer:
13
Step-by-step explanation:
3. Daniel is a very good television salesperson. His annual sales average at $187,400. His
commission on sales is 30% and his annual base salary is $40,000. On average what is his
annual gross income?
Answer:
$96,220
Step-by-step explanation:
Daniel is a very good sales person
His annual sales average is $187,400
His commission on sales is 30%
= 30/100
= 0.3
His annual base salary is $40,000
Therefore, Daniel's annual gross income can be calculated as follows
Annual gross income= Annual base salary + Commission on sales
= $40,000 + (30/100 × $187,400)
= $40,000 + 0.3×$187,400
= $40,000+$56,220
= $96,220
Hence Daniel's annual gross income is $96,220
HELP ME PLEASSSSEE On a winter morning, the temperature before sunrise was -10℉. The temperature then rose by 1℉ each hour for 7 hours before dropping by 2℉ each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 10 hours?
Answer:
3 degrees F
Step-by-step explanation:
if the temperature rose 1* for 7 hours, times 1 by 7. which is 7 and add to -10. which is -3. then, since the temperature rose by 2* for 3 hours, times 2 by 3 which is 6 and add to -3, which is 3.
i hope this helped?
Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type is pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice. How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.
Exercise topic: Permutations and Combinations. A company wants to hire 3 new employees, but there are 8 candidates, 6 of them which are men and 2 are women. If the selection is random: a) In how many different ways can choose new employees? b) In how many different ways can choose a single male candidate? c) In how many different ways can choose at least one male candidate? with procedures. Help me please..
Answer:
(a) 56 ways
(b) 6 ways
(c) 56 ways
Step-by-step explanation:
Given:
candidates: 6 mail, 1 female
number to hire : 3
a) In how many different ways can choose new employees?
use the combination formula to choose r to hire out of n candidates
C(n,r) = C(8,3) = 8! / (3! (8-3)! ) = 40320 / (120*6) = 56 ways
b) In how many different ways can choose a single male candidate?
6 ways to choose a male, one way to choose two female, so 6*1 = 6 ways
c) In how many different ways can choose at least one male candidate?
To choose at least 1 male candidate, we subtract the ways to choose no male candidates out of 56.
Since there are only two females, there is no way to choose 3 female candidates.
In other words, there are 56-0 = 56 ways (as in part (a) ) to hire 3 employees with at least one male candidate.
Please explain: Find the measure of angle A. a. 32 b. 57 c. 59 d. No angle exists.
Answer:
The answer is option B.
57°Step-by-step explanation:
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 14
The hypotenuse is 26
So we have
cos A = 14/26
cos A = 7/13
A = cos-¹ 7/13
A = 57.42
A = 57° to the nearest degreeHope this helps you
Answer:
57 deg
Step-by-step explanation:
(see attached for reference)
we are given a right triangle together with the lengths of one side (= 14 units) and the hypotenuse (= 26 units)
Using the trigonometry formulas, we can find angle A
cos A = adjacent length / hypotenuse
cos A = 14 / 26
A = cos⁻¹ (14/26) (use calculator)
A = 57.42 deg
A = 57 deg (rounded to nearest whole degree)
The table shows the height increases in inches, of some of the girls in Gina’s class from last month to this month. What girl had a height increase that was greater than 1/2 inch?
The correct answer is Maxine
Explanation:
One of the easiest ways for knowing if a fraction is greater than another is by converting fractions to decimal numbers. This implies dividing the numerator (top number) by the denominator (bottom number). In the case of fraction, [tex]\frac{1}{2}[/tex] the decimal number is 0.5 considering 1 divided into 2 is equal to 0.5. Now to know if other fractions are greater or smaller, this process needs to be repeated.
Gina: [tex]\frac{3}{8} = 0.375[/tex]
Maxine: [tex]\frac{2}{3} = 0.666[/tex]
Shari: [tex]\frac{2}{4} = 0.5[/tex]
Vanessa: [tex]\frac{3}{12} = 0.25[/tex]
According to this, the girl with a heigh increased greater than 1/2 inch is Maxine because 0.666 (Maxine heigh increase) is greater than 0.5 (1/2 inch).
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags
Answer:
6 bags
Step-by-step explanation:
Hey there!
Well first we need to find the area of the circle using,
π r^2
4*4 = 16
16 * pi ≅ 50.27
So now to find how much bags needed we do,
50.27 ÷ 9.42 = 5.34
Meaning 6 bags of soil is needed.
Hope this helps :)
Answer:
Caisha will need 6 bags of soil.
(B.) 6 bags :)
Hassan built a fence around a square yard. It took 48 m^2 of lumber to build the fence. The fence is 1.5 meters tall.
Answer:
Step-by-step explanation:
Please check ones more because this might be incorrect.
The area is in square meters...Let's change it
Square 48= 48*48 =2304
2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)
2304 divided by 4 = 576
The formula for area of a square is S*S(side times side)
Let's apply the formula here.
so, 576 times 576
331776 square meters
Hope this is right and helps! :)
( This just my point of view. Please check this onces again)
Answer:
the answer is 64
Step-by-step explanation:
khan
Given the function [tex]h:x=px-\frac{5}{2}[/tex] and the inverse function [tex]h^{-1} :x=q+2x[/tex], where p and q are constants, find a) the value of p and q c)[tex]h^{-1} h(-3)[/tex]
Answer:
[tex]p = \frac{1}{2}[/tex]
[tex]q = 5[/tex]
[tex]h^{-1}(h(3)) = 3[/tex]
Step-by-step explanation:
Given
[tex]h(x) = px - \frac{5}{2}[/tex]
[tex]h^{-1}(x) = q + 2x[/tex]
Solving for p and q
Replace h(x) with y in [tex]h(x) = px - \frac{5}{2}[/tex]
[tex]y = px - \frac{5}{2}[/tex]
Swap the position of y and d
[tex]x = py - \frac{5}{2}[/tex]
Make y the subject of formula
[tex]py = x + \frac{5}{2}[/tex]
Divide through by p
[tex]y = \frac{x}{p} + \frac{5}{2p}[/tex]
Now, we've solved for the inverse of h(x);
Replace y with [tex]h^{-1}(x)[/tex]
[tex]h^{-1}(x) = \frac{x}{p} + \frac{5}{2p}[/tex]
Compare this with [tex]h^{-1}(x) = q + 2x[/tex]
We have that
[tex]\frac{x}{p} + \frac{5}{2p} = q + 2x[/tex]
By direct comparison
[tex]\frac{x}{p} = 2x[/tex] --- Equation 1
[tex]\frac{5}{2p} = q[/tex] --- Equation 2
Solving equation 1
[tex]\frac{x}{p} = 2x[/tex]
Divide both sides by x
[tex]\frac{1}{p} = 2[/tex]
Take inverse of both sides
[tex]p = \frac{1}{2}[/tex]
Substitute [tex]p = \frac{1}{2}[/tex] in equation 2
[tex]\frac{5}{2 * \frac{1}{2}} = q[/tex]
[tex]\frac{5}{1} = q[/tex]
[tex]5 = q[/tex]
[tex]q = 5[/tex]
Hence, the values of p and q are:[tex]p = \frac{1}{2}[/tex]; [tex]q = 5[/tex]
Solving for [tex]h^{-1}(h(3))[/tex]
First, we'll solve for h(3) using [tex]h(x) = px - \frac{5}{2}[/tex]
Substitute [tex]p = \frac{1}{2}[/tex]; and [tex]x = 3[/tex]
[tex]h(3) = \frac{1}{2} * 3 - \frac{5}{2}[/tex]
[tex]h(3) = \frac{3}{2} - \frac{5}{2}[/tex]
[tex]h(3) = \frac{3 - 5}{2}[/tex]
[tex]h(3) = \frac{-2}{2}[/tex]
[tex]h(3) = -1[/tex]
So; [tex]h^{-1}(h(3))[/tex] becomes
[tex]h^{-1}(-1)[/tex]
Solving for [tex]h^{-1}(-1)[/tex] using [tex]h^{-1}(x) = q + 2x[/tex]
Substitute [tex]q = 5[/tex] and [tex]x = -1[/tex]
[tex]h^{-1}(x) = q + 2x[/tex] becomes
[tex]h^{-1}(-1) = 5 + 2 * -1[/tex]
[tex]h^{-1}(-1) = 5 - 2[/tex]
[tex]h^{-1}(-1) = 3[/tex]
Hence;
[tex]h^{-1}(h(3)) = 3[/tex]
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.
What is P(Call a person from school)
Answer:16/30
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of M angle 2 + M angle 4
Answer:
200°
Step-by-step explanation:
<2 = 90° (right angle)
<3 = 70° (vertically opposite angles)
<4 + <3 = 180° ( angles on a straight line)
<4 + 70 = 180°
<4 = 180° - 70°
<4 = 110°
<2 + < 4
= 90 ° + 110° = 200°