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KATRIN_1 [288]
2 years ago
11

For the pair of triangles, tell which postulate, if any, can be used to prove the

Mathematics
1 answer:
stira [4]2 years ago
6 0

HL postulate.

Step-by-step explanation:

In the given triangles,

  • AC = BC ( given )

  • Angle ADC = Angle BDC ( 90° )

  • DC = DC ( common side )

hence, the triangles are congruent by HL postulate .

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10.6.23
Svetach [21]

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

3 0
3 years ago
Tisha orders a carpet for a room that measures 270 square feet. The salesman says the carpet costs $12.00 per square yard. He ex
Tomtit [17]

Answer:

What error did the salesman make?

The salesman made an error when convert 270 square feet to yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

Step-by-step explanation:

From the question, we are told that:Tisha orders a carpet for a room that measures 270 square feet.

This means the room needs 270 square feet of carpet

But from the question, we know that the carpet is sold in square yards

We convert square feet to square yards

For our conversion rates

3 ft = 1 yard

9 ft² = 1 square yards(yd²)

270 ft² = x

Cross Multiply

9 ft² × x = 270ft² × 1 yd²

x yd²= 270ft² × 1 yd²/9 ft²

x = 30 yd²

Hence, 270ft² = 30yd²

Cost of carpet =

1 yd² = $12.00

30 yd² =

Cross Multiply

= 30 × $12.00

= $360.00

The actual cost of the carpet is $360

What error did the salesman make?

The salesman made an error when convert 270 square feet to square yards.

He said 270 square feet = 90 square yards

But he was wrong.

270 square feet = 30 square yards.

What should be the actual cost of the carpet?

The actual cost of the carpet is $360

3 0
3 years ago
Find the perimeter of this problem
GrogVix [38]

Answer: 119 4/7

Step-by-step explanation:

Add all the sides together.

4 0
3 years ago
Find the values of x and y to make the equation true.<br> -2x + 61 = (-24y)i - 14
gregori [183]
X= 75/2
Y=0
That is the answer to your question I used Photomath to help me

4 0
3 years ago
What's 2x+3y=6 and x-3y=9?
Vedmedyk [2.9K]
Set up a system of equations:

2x+3y=6
x-3y=9

You can solve this with elimination by adding the two equations together:

3x+0y = 15
3x=15
x=5

Then, plug this value back into either of the original equations to find the y value:

5-3y=9
-3y=4
y= -4/3

The point of intersection is (5,-4/3)
4 0
3 years ago
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