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Vlada [557]
3 years ago
9

Consider the figure below. Line FG is parallel to line JK.

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

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Answer:

9/25

Step-by-step explanation:

find a number that both the top and bottom are divisible by,

23 is the greatest common division we can make such that the top and bottom remain whole numbers

so,

\frac{207 }{575} ÷23

=(207/23)÷(575/23)

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4 0
2 years ago
A projector displays an image on a wall. the area(in square feet) of the rectangular projection can be represented by
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Answer:

The height of the projection will be (x - 5) feet.

Step-by-step explanation:

A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).

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Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)

3 0
3 years ago
Translate this sentence into an equation. 62 is the sum of 12 and Chrissy's age. Use the variable c to represent Chrissy's age.
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Circumference of circle use3.14 for value
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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Multiply: (5x2y – 3xy2)(3xy2 + 5x2y)<br> Please help I need to get this one right!
Aliun [14]

Answer:

(1): "*-5x2y" was replaced by "*(-5x2y)".

(2): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

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Equation at the end of step 1

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STEP

2

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Equation at the end of step

2

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STEP

3

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Multiplying exponential expressions :

3.2    y2 multiplied by y1 = y(2 + 1) = y3

I believe the answer is   ( -3•5x3y3)

6 0
2 years ago
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