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Elena-2011 [213]
2 years ago
10

Look at the figure. How can you prove the triangles are congruent?

Mathematics
1 answer:
jek_recluse [69]2 years ago
5 0

Answer:

Δ ABD ≅ Δ CBD  SSS

Step-by-step explanation:

AB ≅ CB                  Given                                

AD ≅ DC                  Given                                

BD ≅ BD                  Reflexive property      

Δ ABD ≅ Δ CBD      SSS      

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Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee
postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

7 0
2 years ago
A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 1 cheese and 4 top
mylen [45]

Answer:

Step-by-step explanation:

Assuming the toppings don't have to be the same

4*10*10*10*10=4000

If the toppings have to be different:

4*10*9*8*7=20160

8 0
3 years ago
Tamara is a real estate agent and makes 5% commission on her total sales. She sells a home for $350,000. What is her commission?
larisa [96]
So this is basically a ratio and the form I use to solve these is
Is. = %
Of. 100
So we're looking for 5% of the 350,000 which will be x

X. = 5
350000. 100
Cross multiply
100x=1750000
Divide by 100

X=17500

7 0
3 years ago
Read 2 more answers
An art gallery sells paintings at .35 per square inch
VashaNatasha [74]

1 foot = 12 inches

 2 x 12 = 24 +3 = 27 inches

3 x 12 = 36 +5 = 41 inches

27*41 = 1107 square inches

1107 * 0.35 = $387.45

6 0
3 years ago
I'm one centimeter grid paper draw a 6 by 2 centimeter rectangle what is the perimeter of the rectangle and what is the area of
swat32
6x2=area
6+6+2+2=perimater
3 0
3 years ago
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