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2 years ago

If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR Please answer with work

Mathematics

1 answer:

docker41 [41]2 years ago

4 0

Answer:

$\angle PQR=30^{\circ}$

Step-by-step explanation:

It is given that,

$\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}$

We need to find the measure of $\angle PQR$ .

From the given figure, $\angle PQR=\angle PQS+\angle SQR$

Putting all the values, we get :

$12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13$

$\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}$

So, the measure of $\angle PQR$ is 30 degrees.

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So I really don't understand what I'm doing....I would be glad if you helped

SSSSS [86.1K]

We are supposed to assume FC and AD is straight line
let's find all the angles

you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees

90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite

notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line

a. 90
b. 224
c.134
d. 180

8 0

2 years ago

What is the Volume! ~

Mrrafil [7]

Answer:

108

Step-by-step explanation:

Volume of a Square Pyramid :

V = 1/3 x Base Area x Height

Solving :

V = 1/3 x (6)² x 9
V = 36 x 3
V = 108 cubic centimeters

6 0

2 years ago

Read 2 more answers

Write the solution in interval notation {x| 3 less than or equal to x}

klemol [59]

Answer:

Set in Interval Notation is: [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R = {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is: [ 3, ∞)

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3 years ago

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What is the multiplicative inverse of 10/3?

nirvana33 [79]

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/ x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a / b is b / a. For the multiplicative inverse of a real number, divide 1 by the number.

3 0

2 years ago

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FIND (-8/3)+(-1/4)+(-11/6)+3/8-3

emmainna [20.7K]

Answer:

-7 3/8

Step-by-step explanation:

The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

$-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}$

So our solution is -7 3/8

8 0

3 years ago