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2 years ago

13

Solve for x: 1/5 (5x + 12) = 18

1 answer:

ziro4ka [17]2 years ago

5 0

X = 78/5.
<span>Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.
This site could help you: </span>http://www.tiger-algebra.com/drill/1/5(5x_12)=18/

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In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove th

olasank [31]

Answer:

See Below

Step-by-step explanation:

<u>Statements:</u> <u>Reasons:</u>

<u /> $1)\text{ } \Delta PQR\text{ is equilateral}$ Given

$2)\text{ }PQ=QR=RP$ Definition of Equilateral

$3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP$ Given

$4)\text{ } PX=XQ$ Definition of Midpoint

$5)PQ=PX+XQ$ Segment Addition

$6)\text{ } PQ=2XQ$ Substitution

$7)\text{ } QY=YR$ Definition of Midpoint

$8)\text{ }QR=QY+YR$ Segment Addition

$9)\text{ } QR=2QY$ Substitution

$10)\text{ } 2XQ=2QY$ Substitution

$11)\text{ } XQ=QY$ Division Property of Equality

$12)\text{ } XQ=PX=QY=YR$ Transitive Property

$13)\text{ } RZ=ZP$ Definition of Midpoint

$14)\text{ } RP=RZ+ZP$ Segment Addition

$15)\text{ } RP=2RZ$ Substitution

$16)\text{ } 2XQ=2RZ$ Substitution

$17)\text{ } XQ=RZ$ Substitution

$18)\text{ } XQ=PX=QY=YR=RZ=ZP$ Transitive Property

$19)\text{ } \angle Q\cong \angle R\cong \angle P$ Definition of Equilateral

$20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX$ SAS Congruence

$21)\text{ } XY\cong YZ\cong ZX$ CPCTC

$22)\text{ } \Delta XYZ\text{ is equilateral}$ Equilateral Triangle Theorem

5 0

3 years ago

Read 2 more answers

162.50 if this represented a 6.5% increase what is her monthly salary after the raise

Anon25 [30]

9514 1404 393

Answer:

2662.50

Step-by-step explanation:

Let s represent her old salary. Then we have ...

0.065s = 162.50

s = 162.50/0.065 = 2500

Then her new monthly salary is ...

new salary = old salary + raise

new salary = 2500 +162.50

new salary = 2662.50

6 0

2 years ago

I'm not sure how to simplify this expression with the exponents rules of multiplication

Vedmedyk [2.9K]

The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)

3 0

2 years ago

What is the perimeter of the figure?

Monica [59]

Hey there,

So when finding the perimeter, we do addition.

So . . .

20 + 12 + 18 + 7+ 13+6

Your correct answer would be 76

Hope this helps.
~Jurgen

7 0

3 years ago

Read 2 more answers

The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t

Anastaziya [24]

Answer:

68

Step-by-step explanation:

I just know I was in class with my teacher

8 0

2 years ago