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dolphi86 [110]
4 years ago
10

What is the value of x? ​

Mathematics
1 answer:
mr Goodwill [35]4 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

Similar

The two triangles

1) the one making up the peak of the large triangle

2)the large triangle  

are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.

Proportion

Therefore the sides are in proportion.

5/40 = 3/(2x + 10)

Solution

Cross multiply

5*(2x + 10) = 40*3

Remove the brackets on the left. Combine the right.

10x + 50 = 120          

Subtract 50 from both sides

10x + 50 - 50 = 120 - 50

10x = 70

Divide by 10

10x/10 = 70/10

x = 7

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Sunny_sXe [5.5K]

Answer:

parellel lines have same slope so slope of l2 is same as that of l1

slope of l1 = 5-1/-2-(-3)

4/1

3 0
3 years ago
A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower
Stolb23 [73]

                              time       *      rate          =       distance

Downstream           4           *       x              =          4(x)

Upstream                6           *     x - 2           =        6(x - 2)

distance downstream = distance upstream:

                              4(x) = 6(x - 2)

                               4x  = 6x - 12

                              -2x  =   -12

                                 x   =    6

Distance Upstream: 4x   = 4(6)   = 24

Distance Upstream: 6(x - 2)  = 6(6 - 2)   = 6(4)   = 24

Total distance traveled is Upstream + Downstream = 24 + 24 = 48

Answer: 48 miles

5 0
3 years ago
GCF= Greatest common factor of <br> 9+15 !! Please answer this quick ! Pleaseee
shepuryov [24]

Answer:

24

Step-by-step explanation:

I think it’s right

6 0
3 years ago
what was the interest rate if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​
Mumz [18]
<h3>The interest rate is 8 % if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars​</h3>

<em><u>Solution:</u></em>

Given that,

Principal = $ 857

Amount = $ 1268.36

Number of years = 6

Rate of interest = ?

Simple Interest = Amount - principal

Simple Interest = 1268.36 - 857

Simple Interest = 411.36

<em><u>Use the formula,</u></em>

Simple Interest = \frac{ p \times n \times r}{100}\\\\411.36 = \frac{ 857 \times 6 \times r}{100}\\\\41136 = 5142 \times r\\\\r = \frac{41136}{5142}\\\\r = 8 \%

Thus the interest rate is 8 %

3 0
4 years ago
Read 2 more answers
HELP PLEASE HELP PLEASE
Scilla [17]

Answer:

  D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

  x is always 1/4

3 0
2 years ago
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