All categories

3 years ago

The sum of two angles is 180 and the angles have a ratio of 7:8. What is the number of degrees in the smaller angle??

Mathematics

1 answer:

Alona [7]3 years ago

3 0

x - any unit in degrees

The ratio 7 : 8, therefeor the measures of the angles are 7x and 8x.

We know: the sum of those angles is 180°

Therefore we have the equation

7x + 8x = 180

15x = 180 |:15

x = 12

The smaller angle is 7x.

Your answer is 7 · 12° = 84°

You might be interested in

What is the answer?

Vinvika [58]

Answer:

1:200

5.6 cm^2 : y (as actual area)

y = 200 mutifly 5.6 cm^2

y= 1120 cm^2

We know 1m =100cm

so, 1m^2 =100cm x 100 cm = 1000cm^2

y= 1120 m^2/ 100x100

= 0.112 m^2

Step-by-step explanation:

8 0

3 years ago

How do you think you could represent the number 2,300 as a number times a multiple of 10? How do you think you could represent t

iren [92.7K]

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

5 0

3 years ago

A • (-3,-4) B • (5,2) C • (11,-6) What is BC? A.) 10 B.) 8 C.) 3 D.) 5

guapka [62]

Answer:

A.) 10

Step-by-step explanation:

So draw the points on a graph is the best way to solve the problem, but if you can't then you have to mentally imagine it.

on the X axis B is 5 and C is 11 so the distance or length of the line between the points is 11-5=6

on the Y axis B is 2 and C is -6 so the distance or length of the line between the points is 2-(-6)=8

now you have two lines that can make a right triangle and use the Pythagorean theorem to solve for the long line connecting directly from point B to point C $x^{2}$ + $y^{2}$ = $z^{2}$ so $6^{2}$ + $8^{2}$ =100= $z^{2}$ , z= $\sqrt{100}$ =10

4 0

4 years ago

How to find the slope of the equation is y= 16,500 - 1,500x

kakasveta [241]

Well by looking at the equation I would say it already tells you the slope. The slope would be -1,500x.
It would be set up like, y=-1,500x+16,500
Hope that helps! (:

4 0

4 years ago

PLEASE HELP WILL NAME BRAINIEST

seraphim [82]

Slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$