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denis-greek [22]
3 years ago
9

Unit Test Review

Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

the first 1

Step-by-step explanation:

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Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
I need help urgent this is to hard for me to do
Morgarella [4.7K]

Answer:

( 7 , 4 )

given:

  • 4x + 10y = 68
  • 4x - y = 24

make y the subject in equation 2:

4x - y = 24

-y = 24 - 4x

y = 4x - 24

insert this in equation 1:

4x + 10y = 68

4x + 10(4x - 24) = 68

4x + 40x - 240 = 68

44x = 68 + 240

44x = 308

x = 7

solve for y:

y = 4x - 24

y = 4(7) - 24

y = 4

6 0
2 years ago
Read 2 more answers
Which ordered pair is a solution of the equation?<br> Y-4=7(x-6)
deff fn [24]

Answer:

(6,4)

Step-by-step explanation:

The equation is in 'point-slope' form.

y-y_1=m(x-x_1)\\\rule{150}{0.5}\\(x_1,y_1) \rightarrow \text{a point that's given}\\\\m \rightarrow \text{slope}

This means we can identify the point that was used in the equation.

y-\boxed{y_1} =m(x-\boxed{x_1}) | y-\boxed{4}=7(x-\boxed{6})\\\rule{210}{0.5}\\y_1 = 4\\\\x_1 =6\\\rule{210}{0.5}\\(x_1,y_1) \rightarrow \boxed{(6,4)}

(6,4) would be a solution to the equation given.

Hope this helps.

4 0
2 years ago
Cynthia bought some grapes on sale for $.94 per pound. if she paid 2.35 for the grapes. how many pounds of grapes did she buy
Bogdan [553]
2.35 ÷ 0.94 = 2.5 pound
8 0
3 years ago
Read 2 more answers
Haley measured the distances between her house and two of her friends' houses. ellen's house is 1.41 miles away from haley's, an
Arada [10]

Answer: Ellen's house is farther away by 898 feet.

Step-by-step explanation:

Given: The distance between Haley's house and Ellen's house = 1.41 miles

We know that 1 mile = 5,280 feet

Then, 1.41\text{ miles}=1.41\times5,280\text{ feet}=7,444.8\text{ feet}

The distance between Haley's house and Dirk's house = 6,547 feet

Clearly, 6,547<7,444.8

And 7444.8-6547= 897.8\approx898

Therefore, Ellen's house is farther away by 898 feet.

3 0
3 years ago
Read 2 more answers
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