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docker41 [41]
3 years ago
11

What is the value of x in the diagram?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
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The measure of an angle is seventy-one times the measure of a supplementary angle. What is the measure of each angle?
steposvetlana [31]

Let the smallest angle = x

Then the larger one = 71x

Supplementary angles are always equal to 180o

x + 71x = 180o Add the left side

72x = 180 Divide by 72

x = 180/72

x = 2.5

The smallest angle = 2.5 degrees

The largest angle = 2.5 * 71

The largest angle= 177.5 degrees.

3 0
3 years ago
Verify that fand g are inverse functions (both questions please)
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Answer:

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2 years ago
3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

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

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
What is −30−6r= -36 ?
Nadya [2.5K]

-30-6r=36

We move all terms to the left:

-30-6r-(36)=0

We add all the numbers together, and all the variables

-6r-66=0

We move all terms containing r to the left, all other terms to the right

-6r=66

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7 0
3 years ago
Read 2 more answers
I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST
eimsori [14]

Answer:

B. (negative infinity, -1)

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