Geometry homework , show all of your work.

questions 3: ∆abc ~ ∆def. if ∠a=70° and ∠f=60°, what is the measure of ∠b? show all work.

The answer of 1 ques is x=12 units  and y=8 units.

The answer of 3 ques is  ∠B=50°

Step-by-step explanation:

Given the triangle JMN in which ΔJKL and ΔJMN are similar

therefore, we can write

⇒ and

⇒                                

⇒                                      

⇒

In next question of camps.

Part A: Given the two angles ∠ABC and ∠CDE are equal each 90°. As these are alternate angles and are equal hence, both lines AB and DE are parallel.

Part B: Additional angles of pairs ∠BAC and ∠CED, ∠ACB and ∠DCE are equal as first pair is of alternate angles and second pair is vertically opposite angle.

Part C: All the 3 angles of both triangles ΔACB and ΔECD are equal hence, by AAA similarity postulate or we can say by AA similarity postulate both triangles are similar.

Part D: Length of DE is

As the triangles are similar therefore their corresponding sides are proportional

Questions 3: ∆ABC ~ ∆DEF. If ∠A=70° and ∠F=60°, we have to find the measure of ∠B.

As, the triangles are similar corresponding angles are congruent ∴ ∠C=60°

By angle sum property of triangle

∠A+∠B+∠C=180°

⇒ 70°+∠B+60°=180°

⇒ ∠B=50°

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~