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lutik1710 [3]
3 years ago
6

ABC and XYZ are similar. Find the missing side length.

Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

7

Step-by-step explanation:

In the first triangle, the length of the sides are 32(4*8), 56(8*7) & 40(5*8)

so in the second figure, the lengths are 4, 7, 5

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Find r if 3(r - 7) = 4(2 - 2r) + 4
Arturiano [62]

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3

4 0
4 years ago
Read 2 more answers
Solution A is an $80\%$ acid solution. Solution B is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must
Irina-Kira [14]

Answer:

(a)2000\text{ ml} (b)40\text{ ml and }60\text{ ml} (c)NO

Step-by-step explanation:

GIVEN: Solution A is an \$80\% acid solution. Solution B is a \$30\% acid solution.

TO FIND: (a) Find the amount of Solution A (in mL) that must be added to 500 \text{ml} of Solution B in order to produce a 70\% acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a 100 \text{ml} solution that is 50\% acid. (c) Does there exist a combination of Solution A and Solution B that is 90\% acid.

SOLUTION:

(a)

Let total amount of solution A added be x

Total amount of mixture =500+x\text{ ml}

As resulting solution is  70\% acid solution.

Amount of acid in final solution is sum of acid in both solutions

\frac{70}{100}(500+x)=\frac{80}{100}x+\frac{30}{100}\times500

35000+70x=80x+15000

x=2000\text{ ml}

(b)

Let amount of Solution A be x\text{ ml}

Amount of solution B =100-x\text{ ml}

As resulting solution is 50\% acidic solution

Amount of acid in final solution is sum of acid in both solutions

\frac{50}{100}\times100=\frac{80}{100}x+\frac{30}{100}(100-x)

5000=80x+3000-30x

50x=2000

x=40\text{ ml}

Amount of solution B =100-40=60\text{ ml}

(c)

No as concentration of final solution can not be greater than one with higher concentration.

7 0
4 years ago
What is the value of 5p5<br><br> A. 5<br><br> B. 25<br><br> C. 120<br><br> D. 125
krek1111 [17]

i just did the test and the answer was 120 trust me

7 0
3 years ago
5x – 9 &gt; 8 + 5x Find the solution set:​
BlackZzzverrR [31]

Answer:

Here you go, it's In the attachment

3 0
3 years ago
Find the mean of the table below
valentina_108 [34]

Answer:

75/6 = 12.5

Step-by-step explanation:

Mean = The sum divided by the number of numbers.

3 0
4 years ago
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