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sesenic [268]
3 years ago
14

I need the answer and if you would please explain step by step

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

x=17

Step-by-step explanation:

well the triangles are congruent so that equation has to equal 61, so set it equal to 61, once you do that subtract 10 with 61 giving you 51, then divide 3 with 51 and you get 17

3x + 10 = 61 \\ 3x = 51 \\ x = 17

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Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph.
MakcuM [25]

Answer:

Distance to appointment point = 5 miles

Step-by-step explanation:

Let s be the distance to the appointment point,

We have Maria drove to a business appointment at 50mph in the morning.

Time taken in the morning

               t_m=\frac{s}{50}=0.02s

Her average speed on the return trip in the afternoon was 40 mph.

Time taken in the afternoon

               t_a=\frac{s}{40}=0.025s

Given that the return trip took 1/4hr longer because of traffic.

That is

             t_a-t_m=\frac{1}{4}hr=0.025hr

Substituting

             t_a-t_m=0.025hr\\\\0.025s-0.02s=0.025\\\\s=5miles

Distance to appointment point = 5 miles

7 0
3 years ago
CAN SOMEONE PLEASE HELP!!????
Alexandra [31]
The answer is B. If there ever a question similar to this, just put the equation in graphs calculator and see what the graph look like. I hope this is helpful.
3 0
3 years ago
Each brick is 14 inches long, 8 inches wide, and 5 inches tall. if they used 16,800 in 3 of concrete, how many bricks did they m
Anestetic [448]
The answer is:  " 112 bricks " .
________________________________________________
Explanation:
_______________________________________________

 Volume of each brick:  (14 in) * (8 in) * (5 in) = 560 in³ .
_______________________________________________
 Now:
 
16800 in³ ÷ 560 in³ = 16800 ÷ 560 = 1680 ÷ 56 = 112.
_________________________________________________
5 0
2 years ago
Deena has a tool box in the shape of a right rectangular prism. The volume of the tool box is 0.375 cubic feet. The height of th
zaharov [31]

Answer:

0.5 ft

Step-by-step explanation:

The applicable volume formula is ...

V = length · width · height

Filling in the given numbers, we can solve for the width.

0.375 ft^3 = (1.5 ft) · width · (0.5 ft)

Dividing by the coefficient of width, we have ...

0.375 ft^3/(0.75 ft^2) = width = 0.5 ft

The width of Deena's tool box is 0.5 ft.

7 0
2 years ago
Read 2 more answers
There are 48 students in a play ratio of boys to girls is 5 to 7
iVinArrow [24]
Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play.  5x = boys 7x = girls  If we know that the total number of students in the play equals 48, then that must be that both the number of boys and girls combined must equal 48:  5x + 7x = 48 12x = 48 x = 4  Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play:  5x = 5 (4) = 20 boys 

7x = 7 (4) = 28 girls  To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys:  # girls - # boys = 28 - 20 = 8  This means that there are 8 more girls than boys in the school play
6 0
2 years ago
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