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3 years ago

How to find x for similar right triangle

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

${(7 \sqrt{58)} }^{2} = 49(49 + x) \\ 58 = 49 + x \\ x = 9$

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£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as

Nitella [24]

Sarah has received £ 294

Solution:

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

Caroline gets twice as much as Sarah

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

Sarah gets three times as much as Gavyn

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"

From eqn 2,

$g = \frac{s}{3}$ --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

$2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294$

Thus sarah has received £ 294

7 0

3 years ago

There are chicken and rabbits on a farm. You count 98 legs and your friend counts 30 heads. How many chickens and how many rabbi

jarptica [38.1K]

Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs

total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49

multiply top equation by -1 and add to 2nd equation

-c-r=-30
c+2r=49 +
0c+1r=19

r=19

sub back
c+r=30
c+19=30
minus 19
c=11

11 chickens
19 rabbits

6 0

3 years ago

I need help on number 2. A

Drupady [299]

You should use a protractor to help you with this answer; without one it's really hard to draw a 62 degree angle on your own. Sorry!!!

5 0

3 years ago

If JL=18. Then which statement is true?

kondor19780726 [428]

Answer:

JK = 18 also

Step-by-step explanation:

3 0

3 years ago

Which mathematical sentence most Accurately expresses the information in the problem below?

d1i1m1o1n [39]

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

5 0

3 years ago