3 years ago

4/3 x(2 x 1/3)= 3/4 x2(4 x 3/1=

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

#1 Equation: 8/9

#2 Equation: 18

Step-by-step explanation:

No explanation for this problem.

Use: "PEMDAS"

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Did you learn this from Kindergarten?

#MathIsFun #LearnMathWithMe

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Given:

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To find:

The $m\angle RST$ .

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We know that, diagonals of a rhombus are angle bisector. So,

$m\angle RUV=m\angle TUV$

$(10x-23)^\circ=(3x+19)^\circ$

$10x-23=3x+19$

Isolating variable terms, we get

$10x-3x=23+19$

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Divide both sides by 7.

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$x=6$

Now,

$m\angle RUV=(10x-23)^\circ$

$m\angle RUV=(10(6)-23)^\circ$

$m\angle RUV=(60-23)^\circ$

$m\angle RUV=37^\circ$

And,

$m\angle TUV=(3x+19)^\circ$ .

$m\angle TUV=(3(6)+19)^\circ$

$m\angle TUV=(18+19)^\circ$

$m\angle TUV=37^\circ$

Now,

$m\angle RUT=m\angle RUV+m\angle TUV$

$m\angle RUT=37^\circ+37^\circ$

$m\angle RUT=74^\circ$

We know that opposite angles of a rhombus are equal.

$m\angle RST=m\angle RUT$

$m\angle RST=74^\circ$

Therefore, the measure of angle RST is $74^\circ$ .

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