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aivan3 [116]
3 years ago
5

GEOMETRY PEOPLE PLEASE HELP ME!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

\Delta KLJ\sim\DeltaNPM (AAA) Corresponding angles are congruent.

Therefore, the sides of the triangles are proportional:

\dfrac{4x-4}{20}=\dfrac{30}{25}    cross multiply

25(4x-4)=(20)(30)    use distributive property

(25)(4x)+(25)(4)=600\\\\100x+100=600    subtract 100 from both sides

100x=500     divide both sides by 100

x=5

--------------------------------------------------------------------------------------------

\Delta PQR\cong\Delta STU (SAS)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Therefore we have the equation:

3y-2=y+4\qquad|+2\\\\3y=y+6\qquad|-y\\\\2y=6\qquad|:2\\\\y=3

The perimeter of △PQR:

P=4+6+3y-2=8+3y

Substitute the value of y to the expression:

P=8+3(3)=8+9=17\ ft

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A cylinder has a base diameter of 16 in and a height of 5in. What is its volume in cubic
Stolb23 [73]

Answer:

1004.8 in³

Step-by-step explanation:

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V = Ab×h

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2 years ago
Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).
Snezhnost [94]

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

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8 0
2 years ago
on a coordinate grid, her house is located at (1,2) and the park at (5,5) what is the shortest distance from her house to the pa
nadya68 [22]
To solve, use the distance formula: d= \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}. Using your values of x and y, you get d= \sqrt{(1+5)^2+(2+5)^2} = \sqrt{6^2+7^2} = \sqrt{36+49} = \sqrt{85}, which is approximately 9.22. This means your shortest distance is √85≈9.22
3 0
3 years ago
Para iniciar un negocio, una pareja pide $5.500.000 para comprar equipo y suministros. Si el préstamo tiene una tasa de 14% de i
Sunny_sXe [5.5K]

Answer:

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..

After t years, the total amount of money is:

T = E + P.

In this question:

P = 5500000, I = 0.14

3 months is 3/12 = 1/4 = 0.25 of an year. So t = 0.25

Then the interest accrued is:

E = P*I*t = 5500000*0.14*0.25 = 192500

What they will have to pay:

T = 192500 + 5500000 = 5692500

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

7 0
3 years ago
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