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julia-pushkina [17]
3 years ago
7

If DG = 10, what is the value of x?

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

Given:

DG = 10

See attachment for complete question.

From the attachment, we can conclude that:

x + 1 + 2x - 15 = DG

Substitute 10 for DG

x + 1 + 2x - 15 = 10

Collect Like Terms

x + 2x = 10 + 15 - 1

3x = 24

Solve for x

x = 24/3

x = 8

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Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
Nat2105 [25]

Complete question :

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.

Answer:

12500 mm²

Step-by-step explanation:

The front face of the mode consista of both triangle and rectangle

Area of rectangle :

Height * Base

Height = 200 m ; Base = 50

Area = 200 m * 50 m = 10,000 mm²

Area of triangle :

1/2 * base * height

1/2 * 50 * (300 - 200)

1/2 * 50 * 100

= 2500 mm²

Area of front face = Area of rectangle + Area of triangle

Area of front face = (10,000 + 2500) m²

Area of front face = 12500 mm²

3 0
3 years ago
I need answer by 2:25!!!! Please hurry!!!!!
Alinara [238K]

Answer:

C

Step-by-step explanation:

-2^4-5(5)+2(-2-3)^2

16-25+2(25)

16-25+50

41

7 0
3 years ago
Read 2 more answers
Solve using substitution -9x+7y=-15 and -8x+y=18​
Kipish [7]

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

-9x+7y=-15

-8x+y=18

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

y=18-(-8x)=18+8x=8x+18

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

-9x+7(8x+18)=-15

-9x+56x+126=-15

47x+126=-15

47x=-15-126

47x=-141

x=-141/47

x=-3

-8(-3)+y=18

24+y=18

y=18-24=-6

x=-3, y=-6.

4 0
4 years ago
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Problem:
andreyandreev [35.5K]
5(n-4)=(4n-12)

First: Distribute 5 into n and -4.
5(n-4)=(5n)+(5*-4)= 5n-20.

Second: Subtract 4n from both sides to eliminate the variable from the right side of the equation.

(5n-20)=(4n-12)

n-20=-12

Next: Add 20 to both sides to eliminate the constant from the left side of the equation.

n-20=-12

n=8

The unknown number is 8.
3 0
3 years ago
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Leslie took a total of 40 quizzes over the course of 5 weeks. After attending 7 weeks of school this quarter, how many quizzes w
kow [346]

Answer:

56 quizzes

Step-by-step explanation:

40 quizzes = 5 weeks

To find the unit rate of quizzes / week, we can divide both sides by 5

40/5 quizzes = 5/5 weeks

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Multiply both sides by 7 to find the amount of quizzes in 7 weeks

8 * 7 quizzes = 1 * 7 weeks

56 quizzes = 7 weeks

5 0
2 years ago
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