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Masja [62]
3 years ago
8

Please solve!!! Will make Brainliest!!

Mathematics
2 answers:
kirill [66]3 years ago
7 0

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

posledela3 years ago
3 0

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

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20,10,5, ...<br> Find the 9th term.
iren [92.7K]

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

6 0
2 years ago
Kevin uses 36 ounces of dried apples and 18 ounces of
aliina [53]

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

                     = 36 + 18

                     = 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

                                 = 54 ÷ 8

                                 = 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

                          = 54 - (6 × 8)

                          = 54 - 48

                          = 6 ounces

8 0
2 years ago
The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x
nalin [4]

Answer:

  5000

Step-by-step explanation:

In vertex form, the cost function is ...

  C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

  C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

7 0
3 years ago
A population increases 3% each year. If the city is now 5 million, what will the population be in 5 years?
Step2247 [10]
5 million x 3% = 150,000
1 Year = 5,150,000

5.15 million x 3% = 154,500
2 Years = 5,304,500

5,304,500 x 3% = 159,135
3 Years = 5,463,635

5,463,635 x 3% = 163,909.05
4 Years = 5,627,544.05

5,627,544.05 x 3% = 168,826.322
5 Years = 5,796,370.37

After 5 years, the population will be 5,796,370.37
8 0
3 years ago
What is 63÷9+40-35÷7 pls help
Murljashka [212]
63/9 + 40 - 35/7 =
7 + 40 - 5 =
47 - 5 =
42 <==
6 0
3 years ago
Read 2 more answers
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