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2 years ago

The sum of Ted's and Leon's ages is

Mathematics

1 answer:

olganol [36]2 years ago

7 0

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14 ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

<h2>T=12/2=6 (Ted is 6 years old)</h2><h2>A=2+T=2+6=8 ( Andrew is 8 years old)</h2><h2>Leon=13-T=13-6=7 ( Leons is seven years old)</h2>

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

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2 years ago

PLS HELP!!<br><br> What values of u and v make triangle XYZ = Triangle GFH

Katarina [22]

Answers:

u = 18

v = 20

========================================================

Work Shown:

The leg YZ is congruent to the left FH

This means YZ = FH and that leads to u+v-18 = 10u-8v

The hypotenuse ZX is congruent to the hypotenuse HG

This means ZX = HG and we get the equation 14v-14u+32 = v+u+22

----------------------

The system of equations we have so far is

u+v-18 = 10u-8v

14v-14u+32 = v+u+22

Let's get the equations into standard form

Start with the first equation

u+v-18 = 10u-8v

u+v = 10u-8v+18

u+v-10u+8v = 18

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which we'll use later

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Let's get the other equation into standard form as well

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Now plug in u = v-2 and solve for v

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Which means,

u = v-2

u = 20-2

u = 18

3 0

2 years ago

Help number 5. It would mean a lot.

brilliants [131]

Hi there!

This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.

Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.

25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)

Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.

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Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.

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We now understand that Adison originally had 29$ before earning anymore money.

Hope this helps!

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2 years ago

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djverab [1.8K]

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2 years ago

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