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Triss [41]
2 years ago
9

If REX ~ ROB, find the value of a.​

Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer: 8

Step-by-step explanation:

As corresponding sides of similar triangles are proportional,

\frac{RX}{RB}=\frac{XE}{BO}\\\\\frac{6}{15}=\frac{a}{20}\\\\a=20\left(\frac{6}{15} \right)=\boxed{8}

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The age of Oscar is 1/3of his sister .after 12 years his age will be half that of his sister. What is Oscar's current age
Radda [10]

Answer:

Let's denote:

Age of Oscar : x

Age of Oscar's sister : y

Then, we have:

3x = y(1)

2(x + 12) = y + 12(2)

Substitute y from (1) into (2), then:

=> 2(x + 12) = 3x + 12

=> 2x + 24 = 3x + 12

=> x = 24 - 12

=> x = 12

=> Oscar's current age: 12

7 0
3 years ago
Please help!! Very urgent..thank you!!
erastova [34]

Answer : 4 times

Here it's given that ,

  • The height and base of the butterfly sitting on the stem (red butterfly) is two times greater than the height and base of the butterfly sitting on the flower .

And we need to find out how many times the area of red winged butterfly is greater than that of sitting on the flower (blue butterfly) .

Let us take ,

  • base of blue butterfly be b
  • height of blue butterfly be h
  • Area be A .

Then ,

  • base of red butterfly will be 2b .
  • height of red butterfly will be 2h .
  • Area be A' .

We know that ,

→ area of the triangle = 1/2 × base × height

So that ,

→ A/A' = (1/2 * b * h) ÷ (1/2 *2b *2h)

→ A/A' = bh/4bh

→ A/A' = 1/4

→ A' = 4A

<u>Henceforth</u><u> the</u><u> area</u><u> of</u><u> </u><u>blue</u><u> butterfly</u><u> is</u><u> </u><u>4</u><u> </u><u>times </u><u>greater</u><u> than</u><u> </u><u>that</u><u> of</u><u> </u><u>red </u><u>winged</u><u> butterfly</u><u> </u><u>.</u>

I hope this helps.

6 0
2 years ago
Lixin has three ribbons of lengths 160 cm, 192 cm and 240 cm respectively. She wishes to
mafiozo [28]

Answer:

(i) 16 cm.

(ii) 37 pieces in total.

Step-by-step explanation:

Through determining each lengths factors, it can be determined that every ribbon can be equally divided into 16 cm. long ribbons, so we already have our first answer. A 160 cm. long ribbon divided into 16 cm. long pieces will create 10 ribbons from that one piece; the 192 cm. long ribbon cut into the same 16 cm. lengths will equal 12 pieces of equal length; and the 240 cm. long ribbon will divide its 16 cm. lengths into 15 pieces of equal length. So the 10 pieces, plus the 12 pieces, plus the 15 pieces, will equal 37 total pieces, each 16 cm. in length.  

5 0
4 years ago
8 inches times 10 inches 8 cm
zhuklara [117]

Answer:

105.216 \: inc

Step-by-step explanation:

1 \: cm = 0.394 \: inc \\ 8 \times 0.394 = 3.152 \\ 8 (10 + 3.152)

Hopes this will help you :))

7 0
3 years ago
Can someone explain long division and how to do it, in a way that I might understand...​
zhannawk [14.2K]

Answer: it’s not that hard.

Step-by-step explanation:

Divide the new number by your divisor, and write the result above the dividend as the next digit of the quotient. In the example, determine out how many times 6 can go into 10. Write that number (1) into the quotient above the dividend. Then multiply 6 by 1, and subtract the result from 10.

4 0
3 years ago
Read 2 more answers
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