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Sholpan [36]
3 years ago
8

Two angles are supplementary if their sum is 180°. One angle measures five times the measure of a smaller angle. If x represents

the measure of the smaller angle and these two angles are​ supplementary, find the measure of each angle.
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

30, 150

Step-by-step explanation:

One angle is x

The other angle is 5x

5x + x = 180

6x=180

180/6=30

x=30

5(30)=150

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Vector v1 is 6.6 units long and points along the negative x axis. vector v2 is 8.5 units long and points at + 55° to the positiv
natita [175]
(a) what are the x and y components of each vector?
 For vector v1:
 
v1 = 6.6 (cos (180) i + sine (180) j)
 v1 = 6.6 (-1i + 0j)
 v1 = -6.6i
 
For vector v2:
 
v2 = 8.5 (cos (55) i + sine (55) j)
 v2 = 8.5 ((0.573576436) i + (0.819152044) j)
 v2 = 4.88 i + 6.96 j
 (b) determine the sum v v 1 2

 The sum of both vectors is given by:
 v1 + v2 = (-6.6i) + (4.88 i + 6.96 j)
 Adding component to component:
 v1 + v2 = (-6.6 + 4.88) i + (6.96) j
 v1 + v2 = (-1.72) i + (6.96) j
6 0
4 years ago
I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil
Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
Which graph shows the solution set of the compound inequality or 1.5x-1 &gt; 6.5 or 7x+3 &lt; -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
3 years ago
Read 2 more answers
Parker ate one-third the number of raisins Devan ate.
zaharov [31]
Parker ate 1/3 the number of raisins Devan ate...
P = 1/3d.....can also be written as P = d/3....answer is C
4 0
4 years ago
Identify the coefficient(s) of the variable in the expression below.
tankabanditka [31]

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

3 0
3 years ago
Read 2 more answers
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