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Hatshy [7]
3 years ago
11

In any triangle the angles add up to 180. i triangle abc angle a is twice as large as angle b is 4 degrees larger than angle

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0
A + b + c = 180

a = 2b

b = c + 4

Substitute the b equation into the a equation

a = 2(c + 4)

a = 2c + 8

Substitute equations a and b into the first equation

2c + 8 + c + 4 + c = 180

4c = 168

c = 42

Find the other angles using c

b = 42 + 4

b = 46

a = 2(42) + 8

a = 92

Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.
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Find the surface area of the triangular prism shown below.
VikaD [51]

Answer:

136

Step-by-step explanation:

5*7 = 35

5*7 = 35

4*6/2 = 12

4*6/2 = 12

7*6 = 42

Add them all up

5 0
2 years ago
Write the slope-intercept form of the equation of each line​
Vera_Pavlovna [14]

First let's talk about the blue line.

You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.

We have thusly,

y=x+n

Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

y=x-1

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

y=0x+0=0

Now we have y-axis. Does y axis have a slope? Yes but it is \infty. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

x=0

That is, every point of a form (0,a) lies on y-axis.

Hope this helps :)

8 0
3 years ago
An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Ove
ozzi

Answer:

D

Step-by-step explanation:

took the test

8 0
3 years ago
Read 2 more answers
What is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?
Natasha_Volkova [10]
{ 125 }^{ \frac { 2 }{ 3 }  }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 }  } \right)  }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 }  \right)  }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25

This is because:

{ a }^{ \frac { m }{ n }  }\\ \\ =\sqrt [ n ]{ { a }^{ m } }

Remember that:

5 x 5 x 5 = 125
5 0
3 years ago
A circle's circumference is approximately 44 cm.
Sav [38]
<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

======================================

Explanation:

C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,

C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

take half of this to get the radius

r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154  rounding to the nearest whole number

7 0
3 years ago
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