3 years ago

Help with multiple choices homework

Mathematics

1 answer:

ohaa [14]3 years ago

7 0

Step-by-step explanation:

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Find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!

Firlakuza [10]

Answer:

$x = 34^\circ$

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

$m\angle TSU = m\angle PSR$

∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

$\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR$

We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:

$(4x) = m\angle PSQ + (3x)$

Solve for ∠PSQ:

$m\angle PSQ = x$

Next, ∠PQS and ∠RQS form a linear pair. Thus:

$m\angle PQS + m\angle RQS = 180^\circ$

∠RQS measures 68°. Thus:

$m\angle PQS +(68^\circ) = 180^\circ$

Solve for ∠PQS:

$m\angle PQS = 112^\circ$

The interior angles of a triangle must total 180°. So, for ΔPQS:

$\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ$

Substitute in the known values:

$(x) + (112^\circ) + (x) = 180^\circ$

Simplify:

$2x = 68^\circ$

And divide. Hence:

$x = 34^\circ$

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3 years ago

Divide. 0.4) 29 Enter your answer as a decimal in the box.

yarga [219]

Okay okay let’s do it tomorrow morning and I have my phone in there so I’ll let him know when he wants it I’ll be home bye bye thanks bye

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The odds against the U.S women's soccer team winning the World Cup are 7 to 5, what is the probability that they will win the Wo

serious [3.7K]

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gizmo_the_mogwai [7]

x=11,-11 there you go

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