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3 years ago

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.

Mathematics

2 answers:

Kobotan [32]3 years ago

6 0

Answer:

$\boxed{x=60}$

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

$130=70+x$

Subtract 70 from both sides.

$130-70=70+x-70$

$60=x$

Drupady [299]3 years ago

5 0

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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Ricky can ride 17 km on his bike in the same length of time ha can walk 9 km.if his riding speed is 4 kph faster than his walkin

aivan3 [116]

Distance=speed times time
if they take the same time, we cal the time , t

b=bike speed
w=walking speed

bikedistnace=17=bt
walkdistance=9=wt

b is 4 more than w
b=4+w

we have
17=bt
9=wt
b=4w

ok so
multiply first equation by 9 and 2nd by 17

153=9bt
153=17wt
set equal
9bt=17wt
divide both sides by t
9b=17w
sub b=4+w for b
9(4+w)=17w
distribute
36+9w=17w
minus 9w both sides
36=8w
divide both sides by 8
4.5=w

he walks 4.5kph

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3 years ago

The internet was used by 30% of the population of a state in 2008. If 3200 people were surveyed, how many in the survey were usi

andrew-mc [135]

1. We know that 30% expressed as a decimal is 0.30

Since 30% of people were using the internet, 0.30*3200 is our answer.
3200*0.30= 960.

Therefore 960 people were using the internet out of the 3200 surveyed.

4 0

3 years ago

HELP ME ASAP PLS

Katarina [22]

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35 Eqn 2

Putting x=8y in Eqn 2

$8y-14=y+35\\8y-y=35+14\\7y=49$

Dividing both sides by 7

$\frac{7y}{7}=\frac{49}{7}\\y=7$

Putting y=7 in Eqn 1

$x=8(7)\\x=56$

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

6 0

2 years ago

Use the "mixed partials" check to see if the following differential equation is exact.

Nadya [2.5K]

Answer:

The equation is exact

F(x,y) = 3x4/4 - 3xy -y2

Step-by-step explanation:

The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.

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2 years ago

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ExtremeBDS [4]

The answer for this question is going to be: Both x is positive and y is negative.

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3 years ago

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.