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olchik [2.2K]
2 years ago
13

Help&EXPLAIN Don’t use for points or I’ll take it back and report

Mathematics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is

90+32+a=180

a+122=180

a=58

Now angle x is adjacent to angle a so their sum must equal 180 degrees so

x+58=180

x=122 degrees

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A plane travels at a constant speed. It takes 6 hours to travel 3360 miles.
ivolga24 [154]

Answer:

A-560

B-5600

Step-by-step explanation:

to find the answer for A we need to divide 3360 by 6 which gives us 560.

check: 560 x 6 = 3360

To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600

3 0
3 years ago
Read 2 more answers
Use a proportion to solve the problem. Round to the nearest tenth as needed. A building casts a shadow 36 m long. At the same ti
Ksenya-84 [330]
40/68=x/36
The answer is x=21.2
5 0
3 years ago
Need help on math You have a meal at a restaurant. The sale tax is 8% . You leave a tip for the waitress that is 20% of the pret
DerKrebs [107]

Answer: $18

Step-by-step explanation:

Let x= Pretax price of the meal.

Given: Sales tax = 8%

Tip percent = 20%

As per given ,

Amount spent = ( Pretax price) + (Sales tax )  of (Pretax price) + (Tip percent)of (Pretax price)

=  x+ 8% of x +  20% of x

= x +0.08+0.20x

= 1.28x

∵ Amount spent =  $23.04

So,

1.28x=23.04\\\\\Rightarrow\ x=\dfrac{23.04}{1.28}\\\\\Rightarrow\ x=18

Hence, the pretax price of the meal= $18.

4 0
3 years ago
Match the following items by evaluating the expression for x = -2.
Sloan [31]

Answer:

1)  -4

2) -3

3) 1

4) -2

5) 4

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

x = -2

Then:

1) You must substitute  x = -2 into the expresion x-2:

=(-2)-2

Now, you must evaluate:

=-4

2) You have to substitute the given value of "x" into the second expression:

x-1=(-2)-1

Finally, evaluating, you get the following result:

=-3

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting x = -2 into the expression x^0 and then evaluating, you get:

x^0=(-2)^0=1

4) By definition:

 a^1=a

Then, substituting   x = -2 into x^1 and evaluating, you get:

x^1=(-2)^1=-2

5) Since:

 a^2=a*a

When you substitute the given value of "x" into the last expression and then  you evaluate, you get:

x^2=(-2)^2=(-2)(-2)=4

4 0
2 years ago
A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire
Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the  length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B  ft

Now, AREA of the given park =  L x B

⇒ L x B  = 3,600 sq ft   ... (1)

Also, the perimeter of three sides  = 180 ft

⇒ 2 L +  B  = 180  ..... (2)

Now, from (1) and (2), we get:

L x B  = 3,600

2 L +  B  = 180   ⇒ B  = 180 - 2 L

Substitute this in(1) , we get:

L x B  = 3,600   ⇒ L x (180 - 2 L)  = 3600

\implies  180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0

⇒ L = 30 or L  = 60

So, if L  = 30  ft , then B = 180 - 2L  =  180 - 60 = 120 ft

So, if L  = 60  ft , then B = 180 - 2L  =  180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the  length of the field is 60 ft, then width is 60 ft.

4 0
3 years ago
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