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maria [59]
3 years ago
14

Find the value of x in the diagram and explain your reasoning

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

C 4.5 the two triangles in the diagram are similar.

Step-by-step explanation:

Since, the two triangles in the diagram are similar.

Therefore,

4 \times x = 3 \times 6 \\  \\ x =  \frac{18}{4}  \\  \\ x = 4.5

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3 years ago
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The two dot plots show the number of miles ran by 14 students at the beginning and at the end of the school year compare each me
Naddika [18.5K]

The two dot plots are missing, so i have attached it.

Answer:

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

Step-by-step explanation:

From the attached image, we are told to compare the means for each plot to the nearest tenth.

Mean = Σx/n

Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;

(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133

Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles

Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143

Mean of miles run at the end of the school year = 143/14 = 10.2 miles

Thus;

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

5 0
3 years ago
Please help me with this question. it is due tomorrow please help
AysviL [449]

Answer:

3 3/4

Step-by-step explanation:

First: 1/4 x 15/1 = 15/4

Second is to simplify: 15/4 equals 3 3/4

7 0
3 years ago
Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They
professor190 [17]

Answer:

(A) 120 mph

(B) -120 mph

(C) 12 hours 5 minutes.

Step-by-step explanation:

Given that,

New York and California are 2900 miles apart,

Both the trains A as well as B travel at an average speed of 120 mph.

Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.

So, the given speed on the straight path is actually the velocity.

Assuming that the velocity is positive in the direction from New York towards California.

(A) So, the velocity of train A (towards California)  = 120 mph.

(B) The velocity of train B (towards New York) = -120 mph.

(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.

When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.

So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is

t=\frac{2900}{240} [as time= displacement / relative velocity]

\Rightarrow t=12\frac{1}{12} hours

=12 hours 5 minutes.

7 0
3 years ago
Someone please help me answer this
Talja [164]
84 is the answer I think
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