Answers
Answer:
m∠5 = 75°
Step-by-step explanation:
Angle 2 and Angle 4 are the same as they are alternate interior angles.
Since m∠2 = 45°
We then have m∠4 = 45°
We are given m∠3 = 60°
Now, we just have to find 7∠5.
The sum of the angle of a triangle adds up to 180°.
So, m∠3 + m∠4 + m∠5 = 180°.
60° + 45° + m∠5 = 180°.
Solving for ∠5
m∠5 = 180° - (60° + 45°)
m∠5 = 180° - (105°)
m∠5 = 75°
Related Questions
each row in the table below shows one possible set of angle measurements for this drawing
find the missing angle measurements
Answers
Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
What are Angles on a Straight Line?Angles found on a straight line equals 180 degrees.
What area Vertcial Angles?Vertical angles are congruent angles that lie directly opposite each other.
Second Row:
m∠LGK = 45° (given in the diagram)
m∠IGH = 35° (given in the table)
m∠KGJ = m∠IGH (vertical angles)
m∠KGJ = 35°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 35 = 145°
m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)
m∠HGL = 180 - 45 - 35 = 100°
Third Row:
m∠LGK = 45° (given in the diagram)
m∠HGL = 97° (given in the table)
m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)
m∠KGL= 180 - 97 - 45 = 38°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 38 = 142°
m∠IGH = m∠KGL (vertical angles)
m∠IGH = 38°
Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
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section 7 test yourself
Answers
If a=2 and c=4, evaluate (a+2c)/a-2c
Answers
10 / -6
-1.666
what is the product of 237 and 962?
Answers
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
Please help for mooolah :(((
Answers
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answers
Answer:
yes this contains bias.
Step-by-step explanation:
the person who wrote the question included their own opinion which makes the question bias
Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.
What is bias?Bias in statistics, is a term defines "the tendency of measurement process".
According to the question,
The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.
In order to find is this survey is biased. Yes, the survey is biased .
Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.
Hence, survey question is bias.
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A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
Answers
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
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A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answers
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
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Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.
Answers
Answer:
Step-by-step explanation:
if I’m correct please mark Brainalist
From the properties of a Rhombus;
Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.
If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)
If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)
Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent
Hence, it is not possible hope this helps !
No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
What is rhombus?" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."
According to the question,
Given,
Measure of the angle are 120° and 30°.
If we consider both the angles are opposite [tex]120 \neq 30[/tex]
then as per property of congruent angle in rhombus, it is not correct.
For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.
Again it is not true for rhombus.
Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
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Find the perimeter of the cabin below.
Answers
the image is formed of a rectangle and a square
perimeter of the cabin = perimeter of rectangle + perimeter of square
= 2(l+b) + 4×side
= 2(7+5) + 4×5
= 24 + 20
perimeter of the cabin = 44 cm
What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use
pencil and paper. Sketch examples for as many different types of shapes as you can.
Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?
Select all that apply.
A. Triangle
B. Parallelogram
OC. Rectangle
D. Regular pentagon
Answers
Answer:
rectangle
it has four perpendicular sides
each perpendicular is 90degree
Answer: Rectangle and square
Step-by-step explanation: They both have four right angles
Please help with my homework. I will give a brainlist out. Only solve 30 please.
Answers
Let's solve
[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]
[tex]\\ \rm\Rrightarrow 9C=165[/tex]
[tex]\\ \rm\Rrightarrow C=165/9[/tex]
[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]
Please help, i will mark as brainliest
it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.
Answers
Answer:
3.75 L
Step-by-step explanation:
3 liters / 36 m^2 = x liters / 9 x 5 m^2
3 liters / 36 m^2 = x liters / 45 m^2
(45)(3) = (x)(36)
(135) = (x)(36)
x = (135)/(36)
x= 3.75 L
a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls
Answers
Answer:
a
Step-by-step explanation:
sorry if it's wrong
Please help asap.
I will give brainliest
Answers
Answer:
#1 20
#2 17
#3 14
#4 14
#5 12
#6 14
#7 10
#8. 20
#9. 20
Step-by-step explanation:
1 12+8=20
2 10+7=17
3 8+6=14
4 8+6=14
5 10+2=12
6. 8+6=14
7 4+6=10
8. 12+8=20
9 14+6=20
Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok
For each diagram below, write and solve an equation for x .
Answers
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Solve for z.
X=3y+3z
Answers
Answer: Option 2
Step-by-step explanation:
May I get help on these questions, please?
Answers
a diameter is 2 × the radius
the circumference rule is 2×π×radius
I will solve the first question to show how to format.
1: 5/2=2.5
2×2.5×π=5×π=15.7
One sample has ss = 60 and a second sample has ss = 48.
if n = 7 for both samples, find each of the sample variances, and calculate the pooled variance. because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances
Answers
The pooled variance of the samples estimates the weighted variance of the samples
The pooled variance is 2952
How to calculate the pooled variance?The given parameters are:
Sample 1:n = 7
ss = 60
Sample 2:n = 7
ss = 48
The pooled variance is calculated using:
Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]
So, we have:
Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]
Evaluate the expression
Sp = 2952
Hence, the pooled variance is 2952
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Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please
Answers
Answer:
(a) 40 units
Step-by-step explanation:
32/16=2
20 times 2=40
Answer:
A
Step-by-step explanation:
Since square pyramids A and B are similar, they need to have similar lengths.
Pyramid B's lengths are 2 times larger than that of pyramid A.
Pyramid A: 16 units, 16 units, 20 units.
*2 *2 *2
Pyramid B: 32 units, 32 units, ? units
So, the missing side length has to be 20 *2 = 40 units.
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the greatest common factor of 3x^4-12x^2
Answers
Answer:
3x^2
Step-by-step explanation:
3x^4-12x^2
Factoring out 3x^2
3x^2 ( x^2 -4)
We can factor (x^2-4) since it is the difference of squares
3x^2 ( x-2) (x+2)
The greatest common factor is 3x^2
Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².
The key words here are "common" and "greatest".
Here are some common factors:-
3
3x
3x²
x
x²
And the greatest common factor is:-
3x²
[If Necessary]
Factor it out by dividing the terms in the polynomial by the GCF:-
x²
4
Subtract the terms:-
(x²-4)
And put the G.C.F. outside the parentheses:
3x²(x²-4)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
what is 66.6% as a fraction
Answers
Answer:
[tex]\frac{333}{500}[/tex]
66% = [tex]\frac{33}{50}[/tex]
In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.
Answer:
66.6% as a fraction is 33/50
Step-by-step explanation:
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.
Hope This Helps! :) Please give brainliest if you can!
If u have 18 gallons of gas an you drove 250 miles how much gas is left
Answers
Answer:
Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic
Step-by-step explanation:
Describe the graph of the function. y = |x – 4| – 7
The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).
Answers
Answer:
The graph is an absolute value function with vertex (4, –7)
Step-by-step explanation:
|x-4| is always positive
minimal value of |x-4| = 0
x-4 = 0 x=4
y = |4-4| - 7 = -7
Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answers
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
Find the surface area of a cylinder with a base radius of 2in and a height of 4in use the value 3.14 for n
Answers
Answer:
75.36 in²
Step-by-step explanation:
The surface area of a cylinder can be found from the formula ...
A = 2πr(r +h) . . . . . where r is the radius and h is the height
__
Using the given dimensions, we find the area to be ...
A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²
The surface area of the cylinder is about 75.36 square inches.
The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops
Answers
Answer:
[tex]0.01\ ounce[/tex]
Step-by-step explanation:
Step 1: Determine the volume of 10 drops
[tex]1\ ounce / 1000\ drops[/tex]
[tex]0.001\ ounce/drop[/tex]
[tex]0.001\ ounce/drop * 10\ drops[/tex]
[tex]0.01\ ounce[/tex]
Answer: [tex]0.01\ ounce[/tex]
Answer:
The volume of 10 drops of a liquid is 0.1 fluid ounce.
Step-by-step explanation:
I hope this will help you
Solve for x
12
(x + 2)/
B
O 14
O 10
12
06
Answers
Answer:
opposite sides of ||gram are equal and parallel therefore
12=x+2
12-2=x
10=x
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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
Answers
The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
[tex]P=1-0.84\\P=0.16[/tex]
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
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