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3 years ago

I need help finding angle of measurements

Mathematics

1 answer:

Crank3 years ago

6 0

3 choices that ca help u
1. use google to help u
2. use a protractor
3. use what ur teacher taught u

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How do you do this problems?

rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

$\implies \mathsf{ \frac{DE }{ XY } = \frac{EF}{YZ} = \frac{ FD}{ZX}}$

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using $\mathsf{ \frac{DE }{XY } = \frac{EF}{YZ} }$ to get the value of x.

[You can use any two fractions out of the three given above. ]

$\implies \mathsf{ \frac{10}{x - 1} = \frac{8}{4} }$

$\implies \mathsf{ \frac{10}{x - 1} = 2 }$

$\implies \mathsf{ 10 = 2 (x - 1) }$

$\implies \mathsf{ 10 = 2 x - 2 }$

$\implies \mathsf{ 10 + 2= 2 x }$

$\implies \mathsf{ 1 2= 2 x }$

$\implies \mathsf{ x = 6 }$

Hence, the value of x is 6.

5 0

3 years ago

What is the slope of the line that passes through the points (8,-8) and (5,-1)?

dezoksy [38]

Hey there!

Answer :

$\sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}}$

$\\$

Explanation :

We are given the points $\sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })}$ . To find the slope $\sf{\purple{m}}$ of such a line, we use the slope formula which is the following:

$\sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}$

$\\$

⇢Now, by plugging in our values, we get :

$\sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$

Therefore, the slope of the line is $\sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$

8 0

2 years ago

Read 2 more answers

A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWE

Anvisha [2.4K]

Answer: dodecahedron

Step-by-step explanation:

6 0

3 years ago

What is the variable equation for 5 less than twice a number is 7?

lianna [129]

Answer:

2n - 5 = 7

Step-by-step explanation:

Let the number = n

Twice a number = 2n

5 less than twice a number = 2n - 5

2n - 5 = 7

3 0

4 years ago

The diameter of your bicycle wheel is 34 inches. What is it’s radius

natka813 [3]

The diameter of a circle (or in this case a bicycle wheel) is how long it is from one side of the circle striaght across to the other side. The radius is half the diameter. So if the diameter is 34, then the radius would be 17.

4 0

4 years ago

Read 2 more answers