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2 years ago

Given that angle a = 54° and angle b = 48°, work out x.

Mathematics

1 answer:

Arisa [49]2 years ago

3 0

If it’s a triangle then it has to equal 180
so 48+54+x=180
48+54=102
180-102=x

x=78

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Someone explain it please

Alina [70]

9514 1404 393

Answer:

∠A = 44°

Step-by-step explanation:

In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.

Happily, that relation is "the sum of angles in a triangle is 180°." This means ...

84° +(x +59)° +(x +51)° = 180°

(2x + 194)° = 180° . . . collect terms

2x = -14 . . . . . . . . . . divide by °, and subtract 194

x = -7 . . . . . . . . . . . .divide by 2

Now, the measure of angle A is ...

∠A = (x +51)° = (-7 +51)°

∠A = 44°

4 0

3 years ago

The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car

Black_prince [1.1K]

Answer: $4.5 \text{ miles per gallon}$

Step-by-step explanation:

Given : The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, $\text{1 km}=\dfrac{1}{0.609}\text{ mile}$

1 gallon = 3.785 liters

$\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}$

1 liter of gasoline = 0.729 kg

Then, $\text{1 kg}=\dfrac{1}{0.729}\text{ liter}$

$\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}$

Now, the fuel efficiency of car will be :

$7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}$

Hence, the car’s fuel efficiency in miles per gallon= 4.5

3 0

3 years ago

Which of the following is located over the center of the base of a regular pyramid

kenny6666 [7]

Vertex is located over the center of the base of a regular pyramid.

<h3>What is Vertex Angle?</h3>

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here, Vertex is the point which is located over the center of the base of a regular pyramid.

Learn more about Vertex angle from:

brainly.com/question/2028172

#SPJ1

5 0

2 years ago

What does sin^2 x - cos^2 x equal

Stels [109]

Answer:

-cos(2x)

Step-by-step explanation:

I did trig last year and tutor a trig class this year :)

6 0

2 years ago

What is the solution to the system of equations?

motikmotik

Answer:

a. it has no solution

b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.

Step-by-step explanation:

3x - 9y = -13.............. eqn 1

x - 3y = -7................... eqn 2

from eqn 2

x - 3y = -7, substitute by making 'x' the subject

x = -7 + 3y.................. eqn 3

put eqn 3 into eqn 1

3x - 9y = -13

3( -7 + 3y) - 9y = -13

-21 + 9y - 9y = -13

9y - 9y = -13 + 21

0 = 8, which is not possible.

4 0

2 years ago