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2 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

Phantasy [73]2 years ago

3 0

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

$\frac{AC}{BC}= \frac{EC}{DC}$

$\frac{AB+BC}{BC}= \frac{ED+DC}{DC}$

$\frac{AB+6}{6}= \frac{24+8}{8}$

$\frac{AB+6}{6}= \frac{32}{8}$

$\frac{AB+6}{6}=4$

AB + 6 = 24

AB = 18

Option (B) will be the answer.

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The number of students at jefferson school is even. The number has three digits. The digit in the ten place is 4. write there nu

Burka [1]

Let's assign three blanks for each digit of the unknown number. But let's fill in the tens digit because it is already specified.

_ 4 _

The last digit should be even to make it even. The possible digits for this are 2, 4, 6, and 8. The first digit could be any digit from 1 to 9. Therefore, the possible answers are

142 242 342 442 542 642 742 842 942
144 244 344 444 544 644 744 844 944
146 246 346 446 546 646 746 846 946
148 248 348 448 548 648 748 848 948

Therefore, there are a total of 36 possible answers.

5 0

3 years ago

Write a translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 ). I NEED HELPPPP!

anzhelika [568]

Answer:

$T_{ - 5 ,8} \: or \: D'(x,y) →D(x - 5,y + 8)$

Step-by-step explanation:

$T _ { ? ,?}$

$D'(x,y) →D(x \pm ?,y \pm ?)$

given D : (7,-3), and D' : (2,5)

the coordinates of D can be represented as (x1,y1), and the coordinates of D' can be represented as (x,y).

you can simply take the difference in the x values and difference in the y values from the preimage to image.

like this:

f'(x,y) → f(x+(x-x1),y+(y-y1)) : $T _ {(x-x_1),(y-y_1)}$

D'(x,y) → D(x+(2-7),y+(5--3))

D'(x,y) → D(x<u>-5</u>,y<u>+8</u>) : $T _ {-5 ,8}$

7 0

2 years ago

Read 2 more answers

The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° le

Alex777 [14]

Applying the triangle sum theorem, we have:

First angle measure = 35°

Second angle = 70°

Third angle = 75°

<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

4 0

1 year ago

There are some oranges in a basket. By adding 8/5 to the basket the total became 130. How many oranges were in the basket to sta

olga2289 [7]

78....................................................

8 0

2 years ago

Find all roots.<br> 11) x^3 + 6x² + 5x = 0

Dmitrij [34]

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0 [factor]

x(x+1)(x+5)=0 [set each factor equal to 0]

x=0

x+1=0 [subtract both sides by 1]

x=-1

x+5=0 [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.

5 0

2 years ago