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2 years ago

Find the value of the variable

Mathematics

1 answer:

marissa [1.9K]2 years ago

8 0

Answer:

x=13

Step-by-step explanation:

because they're alternate adjacent angles:

5x=78-x

6x=78

x=13

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When given the lengths of the diagonals of a kite, which statement best explains how to find the area?

ANEK [815]

Answer:

Step-by-step explanation:

The area (A) of a kite is calculated as

A = $\frac{1}{2}$ × d₁ × d₂ ( d₁ and d₂ are the diagonals )

This can be represented as

Multiply the diagonals then divide by 2 → D

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2 years ago

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Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.

Sedaia [141]

Answer:

$1\%$

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest is given by $I=\frac{PRT}{100}$

$160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%$

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2 years ago

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What is the exact circumference of a circle with a radius of 17 millimeters?

anzhelika [568]

The equation of a circumference is 2 $\pi$ r. Since we know that r=17, we plug that into the formula, and get an answer of C. 34

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2 years ago

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Which best describes the association between variables x and y?

dybincka [34]

The answer is Strong Positive

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2 years ago

Find the missing side of this right a triangle?<br> help pls

yaroslaw [1]

Hi, there!

_____

To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

$-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}$

Here,

$\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}$

Hypotenuse (the longest side): c

We know that

$\bold{a=2 \ and \ b=28}$

So, we can substitute our parameters, and solve for c.

$\bold{2^2+28^2=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square 2 and 28

$\bold{4+784=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ add the numbers

$\bold{788=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square root both sides

$\bold{\sqrt{788}=c}$

Hope the answer - and explanation - made sense,

happy studying!!

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1 year ago