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valentina_108 [34]

2 years ago

8

Find the value of x that makes the two triangles equal

1 answer:

Leona [35]2 years ago

8 0

Answer:

5

Step-by-step explanation:

$\triangle CDE \sim\triangle FGH...(given)$

$\therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)$

$\therefore \frac{4x}{28}=\frac{25}{35}$

$\therefore \frac{x}{7}=\frac{5}{7}$

$\therefore x=\frac{7\times 5}{7}$

$\therefore x=5$

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It will take an hour for plane A to meet plane B which is flying in the opposite direction. If, in 45 minutes, the distance betw

eduard

Answer:

Let a = speed of the plane A, and b = speed of plane B.

(Assume that the net effect of the wind is negligible.)

From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.

Hence a + b = 0.75a + 0.75b +200

==> 0.25(a + b) = 200.

==> a + b = 800.

Therefore planes A and B are 800 miles apart now.

4 0

3 years ago

Read 2 more answers

Simplify completely: 5+3(x-1)

Olin [163]

Answer:

Step-by-step explanation:

first add 3+5 = 8

then multiply 8 times x and 8 times -1

which is 8x-8

4 0

3 years ago

What is the midpoint between -11 and 26 on the number line? 15 8.5 7.5 18.5

olga2289 [7]

7.5
-11 + 26 is 15. 15 divided by 2 (finding the midpoint of the two numbers) is 7.5.

6 0

2 years ago

According to U.S. climate data, the monthly average high temperatures, in degrees Fahrenheit, for the city of Chicago are listed

sergejj [24]

Answer: (C) Sample minimum: 32, Sample maximum: 81 Q1:39.5, Median: 58, Q3: 74

Step-by-step explanation:

Five number summary for a data contains :

Minimum value

First quartile $(Q_1)$

Median

Third quartile $(Q_3)$

Maximum value.

Given data : 32, 34, 43, 55, 65, 75, 81, 79, 73, 61,47, 36

Arrange in order →32, 34, 36, 43,47, 55, 61, 65, 73, 75, 79, 81

Total values = 12 (even)

⇒ Median = Mean of the middle most two values.

$=\dfrac{55+61}{2} =58$

First quartile = Median of first half (32, 34, 36, 43,47, 55)

$Q_1=\dfrac{36+43}{2}=39.5$

Third quartile = Median of first half (61, 65, 73, 75, 79, 81)

$Q_3=\dfrac{73+75}{2}=74$

Also, Sample Minimum value = 32

Sample Maximum value=81

Therefore , the five-number summary for this data :

Sample Minimum=32

Sample Maximum=81

Median = 58

$Q_1=39.5$

$Q_3=74$

Hence, the correct option is (C) Sample minimum: 32, Sample maximum: 81 Q1:39.5, Median: 58, Q3: 74

6 0

2 years ago

At the local grocery store a 16 ounce bottle of apple juice costs $3.20 what is the cost of the apple juice per ounce

kenny6666 [7]

Answer:

0.2$

Step-by-step explanation:

3.20/16 = 0.2

5 0

3 years ago