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Bogdan [553]
3 years ago
10

How do you solve -178=-5x+4(-4x-13)

Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

  • <em><u>Pull out like factors: </u></em>

-4x - 13  =   -1 • (4x + 13)

  • <em><u>Equation at the end of step 2: </u></em>

 -178 -  (-5x +  -4 • [4x + 13] )  = 0

  • <em><u>Pull out like factors: </u></em>

  21x - 126  =   21 • (x - 6)

  • <em><u>Equation at the end of step 4: </u></em>

 21 • (x - 6)  = 0

  • <em><u>Solve:</u></em>

x-6 = 0  

  • <em><u>Add 6 to both sides of the equation:</u></em>

x = 6

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Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Lisa [10]

Answer:

The third exterior angle is 103^o

Step-by-step explanation:

Given

\theta = 158^o

\alpha = 99^o

Required

The third exterior angle (\beta)

The exterior angles of a triangle add up to 360 degrees.

So:

\theta + \alpha + \beta = 360^o

Make \beta the subject

\beta = 360^o - (\theta + \alpha)

Substitute known values

\beta = 360^o - (158^o + 99^o)

\beta = 103^o

4 0
3 years ago
HELP!!!<br> 31) Find the measure of line segment DF.<br> A) 12<br> B) 13<br> C) 14<br> D) 15
oksian1 [2.3K]

Step-by-step explanation:

for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.

in our case

(x+8)×8 = 7×16 = 112

8x + 64 = 112

8x = 48

x = 6

so, D-F = x + 8 = 6 + 8 = 14

so, C is correct

6 0
1 year ago
Find a fraction in between 21/34 and 34/55
sashaice [31]

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.

3 0
3 years ago
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Marysya12 [62]
The interest rate on her account would be 38.4%.

If we use the simple interest formula I=PrT, the principle (P) would be 6000. Assuming that it is based on annual interest, the time (t) would be 1/12. Then, you multiply 6000 by 1/12 to get 500. Finally you divide 192/500 and then multiply by 100.


If the time is based on monthly payments, then do the same thing, except multiply 6000 by 1
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Label the quadrants IV​
nevsk [136]

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