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3 years ago

Find vale of x ASSAP

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

x = 127°

Step-by-step explanation:

in each triangle, the value of each exterior angle is equal to the sum of its two non-adjacent interior angles..

47° + 80° = 127°

the third angle in the triangle:

180° - (47° + 80°) = 53°

exterior angle:

180° - 53° = 127°

liq [111]3 years ago

3 0

Answer: 127°

Step-by-step explanation: In the triangle shown, angle x is an exterior angle because it's formed when one side of the triangle is extended. To find the value of x, we use the exterior angle theorem.

This tells us that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. The remote interior angles are all the angles except for x.

So all we need to do is add 47 + 80 and we get a sum of 127.

This means that x is equal to 127°.

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2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ at ratio $m_{1}:m_{2}$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

are A = (3 , 2) and B = (6 , 11)

∴ $(x_{1},y_{1})$ is (3 , 2)

∴ $(x_{2},y_{2})$ is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

the distance of the line AB, and the distance from the point (x , y)

to point B is 1/3 from the distance of the line AB

∴ $m_{1}:m_{2}$ = 2 : 1

∵ $x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5$

∴ The x-coordinate of the point of division is 5

∵ $y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8$

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

6 0

3 years ago

A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%

astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0

4 years ago

Please help me with this!!!

34kurt

Answer:

Please find attached pdf

Step-by-step explanation:

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4 0

3 years ago

Find the quotient. 64 ÷ 32 =

Viktor [21]

Answer:

64÷32=2.

Step-by-step explanation:

if you add 32+32 it's 64, so that means 32x2=64 and yeahhh

6 0

3 years ago

One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get?

just olya [345]

Okay so the problem starts you off with the fraction (1/4). Sharing equally among 3 people would mean that you'd want to divide it by three so your equation would initially look like (1/4) / 3. Having two dividing signs is confusing so what you do is change the dividing into multiplying by the reciprocal of 3 = 1/3... This would make your expression (1/4) * (1/3) and when you simplify this you should get 1/12 as the answer.

6 0

3 years ago

Read 2 more answers