A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees.

In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?

54°
72°
108°
144°

Answers

Answer 1

Answer:

72

Step-by-step explanation: that’s what the test said

Answer 2

Answer:

72

Step-by-step explanation:

on edge


Related Questions

2 of 6
Given that a = 12 cm and b = 17 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

102 cm²

Step-by-step explanation:

area of a triangle = 1/2 * base * height

                             = 1/2 * 12 * 17

                             = 102 cm²

Assume lines p and q intersect to form adjacent angles 1 and 2.

If m∠1=(7x+6)°
and m∠2=(8x−6)°,
find the value of x such that p is perpendicular to q.

Answers

Answer:

x=12

Step-by-step explanation:

To make these 2 lines perpendicular to each other, one of their angles must be equal to 90 degrees.

Therefore, we can set up an equation with one of the angles:

7x+6=90

7x=84

x=12

The information of the other angle is useless in this case, but we can use it to check by plugging in 12 for x, and seeing if it equals to 90:

8*12-6=96-6=90

Therefore, x=12.

If x is positive and x^2 = 729, what is the value of x? Please help

Answers

Answer:

X= 27

Step-by-step explanation:

Square root both sides

x = + or - 27

but since it’s positive x=27

Devon records 4 hours of reality shows on her DVR. She records comedy shows for ⅜ of that amount of time. Devon watches all the reality and comedy shows in half-hour sittings.

Answers

Answer:

1 1/2 hours = 90 minutes

Step-by-step explanation:

Devon records 4 hours of reality shows on her dvr she records comedy shows 3/8 of that amount of time. Devon watches all the reality and comedy shows in half hour sittings. Find the number of hours of comedy shows that Devon records

Total hours of reality show = 4

Comedy shows = 3/8 of 4 hours

Number of hours of comedy shows that Devon records = 3/8 of 4 hours

= 3/8 × 4

= 12 / 8

= 1 4/8

= 1 1/2

Number of hours of comedy shows that Devon records = 1 1/2 hours

There are 60 minutes in an hour

1 1/2 hours = 1 1/2 × 60 minutes

= 3/2 × 60

= 180 / 2

= 90 minutes

Therefore,

1 1/2 hours = 90 minutes

write the sum of 7√28x^6 + 4√7x^6​

Answers

Answer: 21.97025026/250

Step-by-step explanation:

When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what
she needs to do next. On the right, show how you would solve the problem.

Answers

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

4 Gears A and B turn together. Gear A turns 20 times when
Gear B turns 30 times. When Gear A turns 60 times,
how many times does Gear B turn? Show your work

Answers

Answer:

90 turns

Step-by-step explanation:

Ratio of turns

A/B = 20/30 = 2/3

If A = 60 then the ratio is

60/B = 2/3 ⇒ B = 60*3/2 = 90

-7(a - 3) = 11 - 7a
what’s the answer

Answers

Answer:

the statement is false there is no solution

Step-by-step explanation:

step 1       -7(a-3)=11-7a

step 2      -7a+21=11-7a

step 3      cancel out the -7a's

step 4       you are left with 21=11 which does not work so it is false

a music teacher gathered data from several clarinet players about the time they spent practicing their instruments and the number of errors they made on a performance assessment. the data and the line of the best fit are shown in the scatter plot

Answers

Answer:

The answer is A. Yes, because the points in the plot are all very close to the line, which indicates a strong association.

Step-by-step explanation:

plouto answer

Answer:

Yes, because the points in the plot are all very close to the line, which indicates a strong association.

Step-by-step explanation:

When the points in a scatter plot are very close to the line of best fit, there is a strong association between the two variables and the line of best fit can be expected to make reliable predictions.

So, yes, the line of best fit could be used to make reasonable predictions, because the points in the plot are all very close to the line, which indicates a strong association.

find the value of x​

Answers

X equals x because x is theoretically x the letter
X is 31.
You add the angles that are given to you, which would equal 149. Now, you subtract that from 180 because all triangle are equal to 180. You end up with 31.

Find JL using the perpendicular or angle bisector method.

Answers

3x+4=5x-16
3x=5x-20
-2x=-20
2x=20
x=10

(3x+4)+(5x-16)=
(34)+(34)= 68

JL= 68

−4p + 9 = −5
what is the answer

Answers

Answer is P=3.5 or p=7/2

They are both correct


Answer:

p = -1

Step-by-step explanation:

-5 - -9 = 4

-4p/4 = -1

p = -1

Pls help me ill give brainlyest to first correct answer! pls and thank u!

Answers

Answer:

1 1/6

Step-by-step explanation:

the answer is 1 1/6

Answer:

for the first one, it is c. the second one is b

Step-by-step explanation:

What is the value of “y” in y = -3x if the value of ‘x’ is 2?

Answers

Answer:y=-6

Step-by-step explanation:

-3(2)

Please help me out with those questions...

Answers

Answer:

D

Step-by-step explanation:

When this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
-2m^3 + m^2 - m + ___?
A. -4
B. -3
C. 2
D. 4

Answers

Answer: it would be A. -4

Step-by-step explanation:

Got it right on the test

Option A is correct, the value of the polynomial's constant term is -4.

According to the remainder value theorem, if a polynomial is divided by (m+1) and the remainder is 0, it means that (m+1) is a factor of the polynomial.

The given polynomial is -2m³ + m² - m + ___

To find the constant term, we need to determine the value of the polynomial when m = -1 (since (m+1) = 0).

Substituting m = -1 into the polynomial, we get:

-2(-1)³ + (-1)² - (-1) + ___

Simplifying the expression, we have:

-2(-1) + 1 + 1 + ___

-(-2) + 1 + 1 + ___

2 + 1 + 1 + ___

4 + ___

Since the polynomial is divided by (m+1) and the remainder is 0, the constant term must be -4 to cancel out the 4 term and make the expression equal to zero.

Therefore, the value of the polynomial's constant term is -4.

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ2

Half of the difference of 3 and 1

Answers

Answer: 1

Step-by-step explanation:

1 or -1.
Hope this helps

Find the distance between the points given.
(-3,-6) and (3, 2)
4
752
10

Answers

Answer:

10

Step-by-step explanation:

You should get this answer if you use the distance formula! :)

Given that 1 kilogram = 2.2 pounds, which statements are true?


Two kilograms is equal to 4 pounds.

Three kilograms is greater than 6 pounds.

Four kilograms is less than 8 pounds.

Five kilograms is equal to 11 pounds.

Answers

Answer:

the second and fourth statements

Step-by-step explanation:

7
Slope
6'
y-intercept (0, – 6)
What is the equation

Answers

Answer:

y = 7x -  6

Step-by-step explanation:

We are given the slope of 7 and the y-intercept of (0, -6).

We can easily write this in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Replace 'm' with '7' and 'b' with '-6'.

[tex]y=mx+b\rightarrow \boxed {y=7x-6}[/tex]

Hope this helps.

The temperature was 4 degrees below zero at 9 AM, By 6 PM, the
temperature had risen 24 degrees. What was the temperature at 6 P.M.?

Answers

I’m pretty sure it’s 16

3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)

Answers

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

------------------------------------------------------------

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

ALL 4 ways of displaying a relation.

Answers

Domain:The set of the first numbers of the ordered pair.
Range:The set of second numbers of the ordered pairs.
Independent:The value of a variable that determines the output.
Dependent:

ehelp help help help help

Answers

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

Solve the equation.

3(2w−7)=3

Answers

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

(-21 + 6w) = 3

Solving

-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

:) ·g o o d l u c k ·


“Write five sentences about proportional relationships”

Answers

Answer:

Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.

Step-by-step explanation:

hope this helps

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

At the school store the cost of three markers and two pencils is exactly $2.20 while the cost of four markers and six pencils is exactly $3.40. How much would it cost to buy 1 marker and 2 pencils?

Answers

Answer:

[tex]\$0.92[/tex]

Step-by-step explanation:

Let cost of 1 marker be [tex]x[/tex] and 1 pencil be [tex]y[/tex]

From the question we get two equations

[tex]3x+2y=2.2\quad ...(i)[/tex]

[tex]4x+6y=3.4\quad ...(ii)[/tex]

Multiply the first equation by 3 [tex](i)\times3[/tex]

[tex]9x+6y=6.6\quad ...(iii)[/tex]

[tex]4x+6y=3.4\quad ...(iv)[/tex]

Subtracting the above equations [tex](iii)-(iv)[/tex] we get

[tex]5x=3.2\\\Rightarrow x=\dfrac{3.2}{5}\\\Rightarrow x=0.64[/tex]

[tex]4x+6y=3.4\\\Rightarrow y=\dfrac{3.4-4x}{6}=\dfrac{3.4-4\times 0.64}{6}\\\Rightarrow y=0.14[/tex]

One marker costs $0.64 and one pencil costs $0.14

Cost of 1 marker and 2 pencils is [tex]0.64+0.14\times 2=\$0.92[/tex].

What is the product of the expression
(2+3i)(4-5i)

Answers

Answer:

The product of the expression is:

= 23+2i

Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that time.
a. How much interest will she have earned at the end of 6 years?

Answers

Answer:

2700

Step-by-step explanation:

evaluate composite functions f(x)=3*2^x-4 g(x)=1/1+x g(f(2))=

Answers

Answer:

Step-by-step explanation:

g(f(x))= 1/1+(3*2^x-4)

Therefore g(f(2))=1/1+(3*2^(2)-4)

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