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Romashka-Z-Leto [24]
3 years ago
6

In the figure, △ A B C ∼△ F G H . Find the value of x.

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0
The answer is 14
Because
9/6 is equal to 1.5
So
21.5/1.5 is equal to 14
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URGENT!! 100 POINTS, BRAINLIEST AS WELL
Olenka [21]

Answer:

C

Step-by-step explanation:

Notice that there is a little triangle formed by the lines on the right side of the diagram.

Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.

Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.

Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:

2x - 23 = 84 + 43

Now we just solve for x:

2x - 23 = 84 + 43 = 127

2x = 127 + 23 = 150

x = 150/2 = 75 degrees

The answer is 75 degrees, or C.

8 0
3 years ago
Read 2 more answers
For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)<br> A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
makvit [3.9K]

Answer:

A

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → A

5 0
3 years ago
What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
lukranit [14]
Point/Slope Form of an equation!

(5,3)

slope of -2/5

x= 5
y = 3

y - y1 = m(x-x1)

y - 3 = -2/5(x-5)

y - 3 = -2/5x + 2

y = -2/5x + 5

x intercept of 5
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3 years ago
Could you guys help me out with these problems
timurjin [86]
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5 0
3 years ago
Which of the following equation have exactly one solution?
Archy [21]

Answer:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

8 0
3 years ago
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