For each figure answer the following questions

Mathematics

1 answer:

Rudiy272 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

Use the distributive property to write equivalent expressions. <br><br> Someone please help, ty!

earnstyle [38]

Answer:

For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.

45x + 60 = 5(7x + 12)

In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.

2(10x+4) = 20x + 8

Hope this helped.

8 0

2 years ago

A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are

Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is $(x,y)$ .