Answers
Answer:
a. x = 180 - (j + k)
b.
j + k = (5x - 2) + (2x - 2) = 7x - 4
l = x
x = 180 - (7x - 4)
x = 180 - 7x + 4
8x = 184
x = 184/8
x = 23
l = 23°
j = 5x - 2
j = 5 × 23 - 2
j = 115 - 2
j = 113°
k = 2x - 2
k = 2 × 23 - 2
k = 46 - 2
k = 44°
or k = 180 - (23 + 113) = 180 - 136 = 44°
Related Questions
Applications of the Pythagorea Question 1 What is the distance between the points (-3, 4) and (5, 4)?
Answers
Answer:
8 units
Step-by-step explanation:
distance= sqrt((x2-x1)^2+(y2-y1)^2))
sqrt((5-(-3))^2+(4-4)^2))
sqrt(5+3)^2+(4-4)^2)
sqrt(8^2+(4-4)^2)
sqrt(64+(4-4)^2)
sqrt(64+0^2)
sqrt(64+0)
sqrt(64)
sqrt(8^2)
8
Plz help no links or downloads.
Answers
Answer:
DEF is acute (smaller than 90°...small = “cute” is what I tell my kids)
Triangle is equilateral
equi = equal
Lateral = sides
solve for the variable
u^2 + 2 = 11
Answers
Answer:
There are two roots: -3 and 3
Step-by-step explanation:
Combine the like terms first. We get u^2 = 9.
There are two roots: -3 and 3.
Laura takes 80 steps to walk across her local park.
Laura's steps are 70 centimetres long.
Her sister Kara's steps are 80 centimetres long.
How many steps does Kara take to walk across
the park?
a. 45
b.56
c.70
d.80
Answers
Answer:
c. 70
Step-by-step explanation:
Laura’s steps are 70cm, and she takes 80 steps, which would give her a total length of 5600cm. Kara’s steps are 80cm, so we have to divide 5600cm by 80cm. This means Kara takes 70 steps to walk across the park.
“Peaches at the Farmer’s Market cost $2.70 per pound.”
is that proportional or non-proportional?
Answers
Which transformation will move polygon ABCD completely into one quadrant?
A) up 5 units
B) down 5 units
C) left three units
D) reflect over the x-axis
Answers
Answer:
A) up 5 units
Step-by-step explanation:
Given
See attachment for grid
Required
Which places ABCD in a quadrant
Considering vertical movements
From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):
[tex]A = -4[/tex]
[tex]B =3[/tex]
[tex]C = 7[/tex]
[tex]D = -2[/tex]
Considering the highest magnitudes in the positive and negative column, we have:
[tex]A = -4[/tex] and [tex]C = 7[/tex]
[tex]A = -4[/tex] means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;
[tex]4 + 1 = 5[/tex]
Hence, 5 units upward -- This represents option (a)
[tex]C = 7[/tex] means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant
[tex]7 + 1 = 8[/tex]
Hence, 8 units downward
Consider horizontal movements
From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):
[tex]A = -8[/tex]
[tex]B = -6[/tex]
[tex]C = -3[/tex]
[tex]D =-2[/tex]
Considering the highest magnitudes in the positive and negative column, we have:
[tex]A = -8[/tex]
[tex]A = -8[/tex] means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;
[tex]8 +1 = 9[/tex]
Hence, 9 units upward
(a) answers the question
Which set does not contain a rational number?
Answers
Answer:
[tex]\sqrt{21}[/tex], π, [tex]\sqrt{75}[/tex]
Step-by-step explanation:
this set contains only irrationals
HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=??
Answers
Answer:
130
Step-by-step explanation:
(6-2)180=720
720-590=130
I need answer not links
Answers
Answer:
3
Step-by-step explanation:
3 is the A value.
You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.
Answers
Answer:
A. After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. 2.86 sec is the time it takes to hit the ground
Step-by-step explanation:
A. let h = 15
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = .25
After 2.5 sec and .25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t. (I will let you do that)
t = 2.85929... or t = -.10929...
t cannot be negative, so 2.86 sec is the time it takes to hit the ground
The answer of A is After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.
A. let h = 15
What is the quadratic equation?
[tex]ax^2+bx+c=0[/tex]
a, b, c = known numbers, where a ≠ 0
x = the unknown
then 15 = -16t^2 + 44t + 5
16t^2 - 44t + 10 =0
2(8t^2 - 22t + 5) = 0
2(2t - 5)(4t - 1) = 0
t = 5/2 = 2.5 or t = 1/4 = 0.25
After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.
B. Let h = 0.
-16t^2 + 44t + 5 = 0
Use the quadratic formula to find t.
t = 2.85929... or t = -.10929...
t cannot be negative, So 2.86 sec is the time it takes to hit the ground.
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
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Consider the following sequence
[tex]1,1,\frac{3}{4} ,\frac{4}{8}[/tex]
find the nth term such that n > 0
Answers
9514 1404 393
Answer:
2n/2^n
Step-by-step explanation:
It appears that the terms are ...
[tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]
That is, the numerator is counting numbers, and the denominator is powers of 2.
[tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]
i give brenliest
The Pythagorean Theorem for a right triangle is a2 + b2 = c2, where
a and b are the legs of the triangle and c is its hypotenuse. The shorter
leg is 10 inches less than the other leg, and the hypotenuse is 10 inches
longer than that other leg. What is the length of the hypotenuse?
b) 40 inches
a) 30 inches
c) 50 inches
d) 60 inches
Answers
Answer:
C) 50
Step-by-step explanation:
One leg is 30, the other is 40, and the hypotenuse is 50
Please brainliest!
change 45% into decimal
Answers
A recliner chair is normally $750 is discounted to $600. What is the percent discount?
Answers
Answer:
20%
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 750 × 20/100
Discount = 750 x 0.2
You save = $150.00
Final Price = Original Price - Discount
Final Price = 750 - 150
Final Price = $600.00
Answer:
20%
Step-by-step explanation:
Just multiply 750 by 20%, and you will get 150. Subtract and you will get 600. That means my answer is correct.
Good Luck!
Bella spent 20% of her paycheck at the mall, and 40% of that was spent at the movie theater. Bella spent a total of $14,40 at the movie theater for her movie ticket, popcorn, and a soft drink. How much money was in Bella's paycheck?
Answers
Answer:
229$
Step-by-step explanation:
i did the math hope it helps please mark me brainist
Write the standard form for three hundred fifty-eight million, two thousand, four hundred seventy-nine
Answers
Answer:
358,002,479
Step-by-step explanation:
This is what it is.
Answer: 358,002,479
Step-by-step explanation:
First, you have 358 million, or 358,000,000.
Next, you have 2,000. You can add that to 358,000,000 and you get 358,002,000.
Finally, you have 479. You can add that to 358,002,000, and get 358,002,479.
Here's a visual representation:
358,000,000
2,000
+ 479
358,002,479
The sum of four and twelve is??
Answers
Answer: 16
Step-by-step explanation:
12+4= 16
Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a^2 +b^2?
Answers
Answer:
19
Step-by-step explanation:
a-b=3 ab=5
a²+b² = (a-b)²+2ab ( a general formula)
= 3²+2×5
=9+10 = 19
Answer the dang question.
Answers
Answer:
the solution to the system of equations is (8,10).
g) 4−6
/9
=
1
/3
+ x
Answers
Answer:
x = 3
Step-by-step explanation:
Given
4 - [tex]\frac{6}{9}[/tex] = [tex]\frac{1}{3}[/tex] + x ( multiply through by 9 to clear the fractions )
36 - 6 = 3 + 9x
30 = 3 + 9x ( subtract 3 from both sides )
27 = 9x ( divide both sides by 9 )
3 = x
A circular plate has circumferrence 30.8 inches. What is the area of this plate ? Use 3.14 for π.
Answers
Answer:
75.39 in^2
Step-by-step explanation:
circumference=2πr
30.8=2(3.14)r
30.8=6.28r
4.9=r
Now that we know the radius, we can plug it in for the area equation
area=πr^2
area=(3.14)(4.9)^2
area=(3.14)(24.01)
area=75.39 in^2
3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period?
Answers
Answer:
656 students
Step-by-step explanation:
18% of 800 is 144, and 800-144= 656 :)
The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360
Answers
Answer:
B
Step-by-step explanation:
120/360 54
Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.
Answers
Answer:
Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.
Step-by-step explanation:
Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:
[tex](n+2)^{2} = n^{2} + (n+1)^{2}[/tex] (1)
Donde [tex]n[/tex] es un número natural.
A continuación, expandimos la expresión y resolvemos:
[tex]n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1[/tex]
[tex]n^{2}-2\cdot n -3 = 0[/tex]
[tex](n -3) \cdot (n+1) = 0[/tex]
La única solución factible es [tex]n = 3[/tex]. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.
HELP PLZ
Tori went scuba diving to a depth of 20 feet below sea level. After she got out of the ocean, she sat on a hill 7 feet above sea level to rest.
Which inequality compares Tori's locations?
O A -7 > 20
OB. -7 < 20
C. -20 > 7
D. -20 < 7
Answers
Answer:
D.
Step-by-step explanation:
Evaluate the expression. 0.1×( – 0.9+ – 0.2÷ – 0.5) Write your answer as an integer or a decimal. Do not round.
Answers
The solution of expression [tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex] by using the BODMAS rule would be [tex]- 0.05.[/tex]
Used the concept of the BODMAS rule which states that,
The correct order in which to solve maths problems. Bodmas stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
Given that the expression is,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
Solve the above equation by using the BODMAS rule,
[tex]0.1 \times (- 0.9 + - 0.2 \div - 0.5)[/tex]
It can be written as,
[tex]0.1 \times [- 0.9 + (- 0.2 \div - 0.5)][/tex]
[tex]0.1 \times [- 0.9 + 0.4][/tex]
[tex]0.1 \times - 0.5[/tex]
[tex]- 0.05[/tex]
Therefore, the solution of the expression is [tex]- 0.05.[/tex]
To learn more about the BODMAS rule visit:
https://brainly.com/question/29626868
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The length of the base of a rectangle is increased by 10% but the area remains unchanged. By what percent was the breadth reduced?
Answers
Answer:
9.09%
Step-by-step explanation:
Area of a rectangle = length x breadth
to determine the answer, i would use an example
Assume length = 10
breadth 20
Area = 10 x 20 = 200
If the length is increased by 10%, the new length becomes = 1.1 x 10 = 11
11 x b = 200
b = 200/11 = 18.181818
Percentage reduction = (18.181818 / 20) - 1 = 0.0909 = 9.09%
Help please! Will give brainiest if correct!
Find the slope of the line. Write your answer in simplest form.
Answers
For this one it’s 3/4. (Positive since it’s going up and you can’t simplify it anymore).
A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper AA 9595% confidence interval that results from examining 773773 customers in one fast-food chain's drive-through has a lower bound of 169.0169.0 seconds and an upper bound of 172.2172.2 seconds. What does this mean?
Answers
Answer:
One can be 95% confident that the drive-through service times of fast-food chain is between 169 seconds and 172 seconds.
Step-by-step explanation:
The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)
Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars over this 10-year period?
Answers
Answer:
y=-0.5x+8
Step-by-step explanation:
stat, or just rise over run