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Dafna11 [192]
3 years ago
7

The value of x please

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Problem 1

Assuming this is a parallelogram, this would mean the opposite sides are the same length

2x-10 = x+2

2x-x = 2+10

<h3>x = 12 is the answer</h3>

===================================================

Problem 2

Same assumption as problem 1. If we have a parallelogram, then the opposite angles are the same measure.

3x+12 = 6x-3

12+3 = 6x-3x

15 = 3x

3x = 15

x = 15/3

<h3>x = 5 is the answer</h3>
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After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the
Alenkinab [10]
The roof is made up of 2 similar pieces  of 2 rectangle shapes.

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Area of a rectangle = Length x Width 
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Area of a rectangle = 50 x 14 = 700 ft²

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Area of 2 rectangle pieces:
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Area of 2 rectangle pieces = 700 x 2 = 1400 ft²

----------------------------------------------------------------
Find the cost:
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1ft² = $2.75
1400 ft² = 2.75 x 1400
1400 ft² = $3850

---------------------------------------------------------------------------------------------
Answer: It will cost $3850 to have the roof replaced. (Answer A)
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7 0
3 years ago
Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, t
Leno4ka [110]

Answer:

The two airplanes are about 330miles apart.

Step-by-step explanation:

The diagram interpreting the question has been attached to this response.

As shown in the diagram,

i. the airplanes leave at point C.

ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.

iii. the points A, B and C form a triangle with sides a, b and c.

To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.

c² = a² + b² - 2abcosC            --------------(i)

where;

b  = 312miles

a = 487miles

C = 42°

Substitute these values into equation (i) and solve as follows;

c² = (487)² + (312)² - 2(312)(487)cos(42)

c² = (237169) + (97344) - 303888cos(42)

c² = (237169) + (97344) - 303888(0.7431)

c² = 334513 - 225819.1728

c² = 108693.8272

<em>Take the square root of both sides</em>

√c² = √108693.8272

c = 329.69

c ≅ 330miles

Therefore, the two airplanes are far apart by 330miles

3 0
3 years ago
PLEASE HELP ASAP IM TAKING YHE IREADY TEST RN ... and I have more question so please help me answer them
Eduardwww [97]

Answer:

see the pic below.

3 0
3 years ago
Urgent!! <br> Answer like this. “3rd graph goes to the 4th item drop” please or however you want :)
Setler79 [48]

Answer:

graph 1 = greater than 1

graph 2 = 0

graph 3 = 0

graph 4 = less than 0

graph 5 - between 0 & 1

Sorry if anything is wrong!!

5 0
3 years ago
The low temperature last week in Iceland was-2.25. The low temperature this week was 1.25. What was the change in temperature fr
viktelen [127]

Answer:

The change in temperature from last week to this week=3.5

Step-by-step explanation:

To get the change in temperature from last week to this week, we need to take last week's temperature and subtract it from this week's temperature.

For example;

Change in temperature=This week's temperature-last week's temperature

where;

This week's temperature=-2.25

last week's temperature=1.25

replacing;

Change in temperature=(1.25)-(-2.25)=1.25+2.25=3.5

The change in temperature from last week to this week=3.5

6 0
3 years ago
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