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MakcuM [25]
3 years ago
6

The triangles are similar by the AA similarity postulate find the value of x ?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0
4/5 = (4 + 8)/x
4x = 5(12) = 60
x = 60/4 = 15
You might be interested in
Physics
Andrej [43]

Answer:

a) Josef jogging from A to B;

i. speed = 2 m/s

ii. velocity = 2m/s

a) a) Josef jogging from A to C;

speed = 1.9 m/s

ii. velocity = 2.2 m/s

Step-by-step explanation:

One major difference between speed and velocity is that speed is a scalar quantity, while velocity is a vector quantity.

a) Josef jogging from A to B;

distance = 300 m

time = 2.5 seconds = 150 seconds

i. his average speed = \frac{distance}{time}

                               = \frac{300}{150}

                               = 2 m/s

ii. his average velocity = \frac{displacement}{time}

                               = \frac{300}{150}

                               = 2 m/s

b) Josef jogging from A to C,

distance = 300 + 100 = 400 m

time = 2.5 + 1 = 3.5 minutes

        = 210 seconds

i. his average speed = \frac{distance}{time}

                                  = \frac{400}{210}

                                  = 1.9 m/s

ii. his average velocity = \frac{\sqrt{V_{1} ^{2}   + V_{2} ^{2} } }{2}

V_{1} ^{2} = 4 m/s

V_{2} ^{2} = 1.9 m/s

his average velocity = \frac{\sqrt{4^{2} + 1.9^{2}  } }{2}

                                  = 2.2 m/s

5 0
2 years ago
Sara buys a book for $17.50 and a pen for $6.50. If the sales tax rate is 8.25%, what will be the total amount of sales tax on h
Nuetrik [128]

Answer:

$25.98

Step-by-step explanation:

Add the items Sara buys to find the total:

17.50 + 6.50 = 24

Convert 8.25% into a decimal:

8.25/100 = 0.0825

Multiply 0.0825 by 24:

0.0825 x 24 = 1.98

1.98 is the amount of tax, then add the tax to the total amount you got before tax.

24 + 1.98 = 25.98

Your answer would be 25 dollars and 98 cents!

8 0
2 years ago
In the first quadrant, you start at (10,7)
Dahasolnce [82]
(2,12). Moving left to right is the x, moving up and down is the y.
6 0
3 years ago
Read 2 more answers
The base of a square measures 7 cm, and its height measures 6 centimeters. How tall is your area?
Alexxandr [17]

Answer:

42cm^{2}

Step-by-step explanation:

In order to find the area of a square you take the base and multiply it by the height.

Base x Height = Area

In this case you have 7cm as the base and 6cm as the height.

All you have to do after that is multiply the two together.

Make sure that you remember to put the unit (cm) and make sure that it is cm^{2} because some teachers are uptight about that stuff.

Hope this helped!

<3

5 0
3 years ago
tom run cross country. he runs 5 miles in 35 minutes. he runs 20 miles in 140 minutes if he keeps the same pace how long will it
OleMash [197]

Answer:

105

Step-by-step explanation:

5 ÷ 35 = 7

140 ÷ 20 = 7

15 · 7 = 105

I hope this helps!

3 0
2 years ago
Read 2 more answers
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