All categories

3 years ago

For each figure answer the following questions

Mathematics

1 answer:

Rudiy273 years ago

8 0

9514 1404 393

Answer:

a) ∆ABC ~ ∆EDC by AA similarity

b) ED/AB = 3/4

c) 15 cm

Step-by-step explanation:

a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)

b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.

c) Using the ratios identified above, we have ...

DC/BC = 3/4 = x/(20 cm)

x = 3/4(20 cm)

x = 15 cm

You might be interested in

Find the area of this parallelogram, top= 14 left= 11 right = 10

Kamila [148]

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = $140 cm^{2}$

4 0

3 years ago

X^2-21.75x=-15.75 what is one solution

Jlenok [28]

Well, there are two solutions.

Add both sides by 15.75 then from here, you can use quadratic formula.

So your answer should be x = -2.44949 or 2.44949.

5 0

3 years ago

Suppose all the counting numbers are arranged in columns as shown at the right. Under what letter will the number 1000 appear?

pentagon [3]

Letter D because you need to multiply all the letters of the alfabet (36) and multiply 36 by 1000 and then divide the answer by 100 and you get the letter D

4 0

3 years ago

30 miles per hour is how many feet per second?

Kisachek [45]

Answer: The answer is 44

8 0

3 years ago

Find the vertex I’d this parabola y=-2x^2-4x+4

mamaluj [8]

Answer:

(-1, 6)

Step-by-step explanation:

A graphing calculator shows the vertex to be (x, y) = (-1, 6).

You can also find it by putting the equation into vertex form.

y = -2(x^2 +2x) +4

y = -2(x^2 +2x +1) +4 +2(1) . . . . . add 1 inside parens; the opposite outside

y = -2(x +1)^2 +6

Compare to ...

y = a(x -h)^2 +k

and you see a=-2, h=-1, k=6

The vertex is (h, k) = (-1, 6).

5 0

3 years ago