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Finger [1]
2 years ago
10

What is the value of x

Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

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Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and
SVETLANKA909090 [29]

Answer:

There are 8 true/false questions and 26  fill-in-the-blank questions.

Step-by-step explanation:

Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.

Mrs. Simmons gave a history test worth 92 points. Symbollically,

2 t + 5 f = 92   [1]

There were a total of 34 questions in the test. Symbollicaly,

t + f = 34

t = 34 - f   [2]

If we replace [2] in 1, we get

2 (34 - f) + 5 f = 92

68 - 2 f + 5 f = 92

3 f = 24

f = 8

We replace f = 8 in [2],

t = 34 - 8 = 26

There are 8 true/false questions and 26  fill-in-the-blank questions.

7 0
2 years ago
Please help
pychu [463]

Answer:

<h2>        y = x² - 1</h2>

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

6 0
3 years ago
How to do this ??????
sergeinik [125]

the answer would be a or b. Turn on verified mode for professionals to answer)

8 0
3 years ago
How many yards are in 60 ft​
mamaluj [8]

Answer:20 yards

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation is in point-slope form for the given point and slope?
faust18 [17]

Answer: y-7 = 4(x+3), choice B

============================================

Point slope form is generally

y-y1 = m(x-x1)

we have m as the slope and (x1,y1) as the point this line goes through. In this case,

m = 4

(x1,y1) = (-3,7) so x1 = -3 and y1 = 7

So,

y-y1 = m(x-x1)

y - 7 = 4(x - (-3))

y - 7 = 4(x + 3)

which is why choice B is the answer

6 0
3 years ago
Read 2 more answers
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