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3 years ago

Find the value of y and z.

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

z= 125 because they are congruent and y = 55 because they are congruent

I hope this is good enough:

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Seven times a number is less than or equal to a quantity that is 24 less than that same

Ad libitum [116K]

Answer:

$7x\leq x-24$

Here, $x$ denotes the required number.

Step-by-step explanation:

Let $x$ denotes the required number that satisfies the following condition.

''seven times a number is less than or equal to a quantity that is 24 less than that same number''

Seven times a number is equal to $7x$

Quantity that is 24 less than that same number is equal to $x-24$

Now find the inequality.

As seven times a number is less than or equal to a quantity that is 24 less than that same number,

$7x\leq x-24$

6 0

3 years ago

4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number

igor_vitrenko [27]

Answer:

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x -2x

2x-9=15

2x=24

x=12

5 0

2 years ago

What is 14 divided by 1,050

yanalaym [24]

It is 0.0133
unless it is 1050 divided by 14 witch is
75

4 0

3 years ago

Read 2 more answers

What's up extras? I need help with this question!

Juli2301 [7.4K]

Ah! It's me! I lost my password-

I'm kAtSuKiBaKuGo02 qmp

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2 years ago

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20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago