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Rina8888 [55]
3 years ago
15

I need the answer to a and b

Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

a. x = 7

b. x = 36/5

Step-by-step explanation:

<u>Points to remember</u>

The ratio of of corresponding sides of similar triangles are equal.

<u>a). To find the value of x</u>

From the figure 1 we get two similar triangles, ΔABC and ADE

We can write,

AB/AD = AC/AE

3/6 = x/(x + 7)

3(x + 7) = 6 * x

3x + 21 = 6x

6x - 3x = 21

3x = 21

x = 21/3 = 7

<u>b). To find the value of x</u>

From the figure b we get

ΔABC ~  ΔEDF

AB/DE = BC/DF

4/5 = x/9

x = (4 * 9)/5 = 36/5

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Leni [432]
A <span>45 45 90 triangle
so a = b
 a^2 + b^2 = </span>c^2<span>
 a^2 + a^2 </span>= c^2<span>
 2a^2 </span>= c^2<span>
 2a^2 </span>= 24^2
<span> 2a^2 = 576
   a^2 = 288
       a = 12</span>√2
 b = a = 12√2
<span>
Area of triangle:
= 1/2 (</span>12√2)(12√2)
<span>= 1/2(288)
= 144

answer
Area = 144 ft^2

</span>
8 0
3 years ago
Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls?
gogolik [260]

Answer:

3.5 miles

Step-by-step explanation:

The actual choices and question is as attached. Since it's shown in a mixed fraction as 3\frac{1}{2} then we convert the number to decimal. \frac {1}{2} will be 1 divided by 2 which is 0.5 hence the distance to Cascade Falls is 3.5 miles

4 0
3 years ago
What two numbers multiply to get -420 and add to get -32
netineya [11]

I'm not at my desk and can't check it out right now.
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7 0
4 years ago
Calculate the first and second velocities of the car with three washers attached to the pulley, using the formulas v1 = 0. 25 m
Travka [436]

The first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

Given data:

The value of the first distance is, d1 = 0.25 m.

The value of the second distance is, d2 = 0.50 m.

<h3>What is velocity?</h3>

The ratio of distance covered by an object in a specific direction and the time taken to cover the distance is known as the velocity of the object. Mathematically, the expression for the velocity is,

v = d/t

Here, d is the distance covered.

And t is the average time taken to cover the distance.

Then the first velocity of the car at 0.25 m is,

v1 = d1/t1

v1 = 0.25 / t1

Here, t1 is the average time for the first distance.

And the second velocity of the car with four washers at the 0. 50 m mark is,

v2 = d2/t2

v2 = 0.50 /t2

here, t2 is the average time for the second distance.

Thus, we can conclude that the first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

To know more about Velocity click the link given below.

brainly.com/question/25796948?

3 0
3 years ago
Plz help. Will give brainliest to best answer
mariarad [96]

Answer:

9

Step-by-step explanation:

11cos35

6 0
3 years ago
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