What is the measure of

Mathematics

1 answer:

djyliett [7]3 years ago

3 0

Since opposite angles are equal, 8x+12=5x+57. Subtracting 5x as well as 12 from both sides, we get 3x=45. . Dividing both sides by 3, we get x=15. Plugging x=15 into 5x+57, we get 5*15+57=75+57=132

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Can someone step by step explain the answer please

Vinvika [58]

Answer: z = $\sqrt{10}$

Step-by-step explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

$\frac{a}{x} =\frac{x}{b}$

You can use 5 as a and 2 as b to complete the proportion:

$\frac{5}{z} =\frac{z}{2}$

Next, to solve:

Step 1: Cross-multiply.

$\frac{5}{z} =\frac{z}{2}$

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!

8 0

3 years ago

Lexie began making posters for the school awards banquet. She can make 6 posters per minute. Zach joined her 10 minutes after sh

Snowcat [4.5K]

10 * 6 = 60 by the time Zach joins so 125-60 = 65
Now 6 (lexie) +7 (zach) = 13 (together) and 65/13 = 5.
6*5 = 30 and 7*5 = 35. 35+30 = 65
Your answer is 5.

7 0

4 years ago

How do I find out how to work out , y=mx+c ???

hjlf

Y=mx+c isn't an equation to solve. It's the slope-intercept formula for graphing lines.
y and x are the variables, and m and c are the constants.
As an example, the line y=4x+2 looks like this: