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maw [93]
3 years ago
9

If m || n, m<1 = (5x + 15), and m2 = (8x - 21)', what is m<3?​

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

∠ 3 = 105°

Step-by-step explanation:

∠ 1 and ∠ 2 are alternate angles and are congruent , then

8x - 21 = 5x + 15 ( subtract 5x from both sides )

3x - 21 = 15 ( add 21 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ 1 = 5x + 15 = 5(12) + 15 = 60 + 15 = 75°

∠ 3 and ∠ 1 are same- side interior angles and sum to 180° , then

∠ 3 + 75° = 180° ( subtract 75° from both sides )

∠ 3 = 105°

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laiz [17]
I honestly don’t know this at all and I want to so can someone explain
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4 years ago
17/23 as a decimal rounded to the nearest tenth
leva [86]
0.7 because it's originaly 0.7391304348
7 0
3 years ago
I need help! Please help! SOS
miss Akunina [59]

Answer:

a) 94 degrees lower

b) -17 degrees

Step-by-step explanation:

you should draw a number line to visualize what i'm saying..

basically any number that has a greater value but is negative is obviously lower than a smaller negative value

for example: take -563 that is a lot less than -31 because its farther down the number line

okay to find the answer to question a) you need to obviously find the difference between -29 and 65 to do that you need to count the space in between -29 and 65 on a number line.

There's actually a much easier method just use your common sense and some math: so you can say the distance from 0 to 65 is … 65 and the distance from -29 to 0 is 29 so to find the total distance you add them up and you get your answer! (94)

for b) its even easier you just take the number -29 and add 12 from it to get closer to 0 so to do that you need to subtract 12 to get a smaller number but bigger value on the number line (if you draw this one out it will make sense). And the answer is... -17! I hope this made sense :)

3 0
3 years ago
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
vazorg [7]

Answer:

6%

Step-by-step explanation:

Estimated distance = 80 miles

Actual distance covered = 75.5 miles

We need to find the percent error of the cyclist's estimate. Its formula is given by :

\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100

Put all the values,

\%=\dfrac{80-75.5}{75.5}\times 100\\\\=5.96\%

or

= 6%

So, the percentage error is 6%.

4 0
3 years ago
Read 2 more answers
The sum of the measures of the interior angles of a convex polygon is 3060º. How many sides does the polygon have?
Ksivusya [100]
The formula for the sum of the measures of a polygon's interior angles is 180(n-2), where n is the number of sides.
3060 = 180(n-2)
17=n-2
19=n
Therefore, the polygon has C. 19 sides.
5 0
4 years ago
Read 2 more answers
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