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3 years ago

If two are supplementary and one of the angles measure 62 what is the measure of the other angle

1 answer:

8 0

Supplementary angles add to equal 180 degrees. If two angles are supplements of each other and one of the angles measures 62 degrees, you can set its sum with the unknown angle, x, equal to 180 and solve for the unknown angle x.

Equation:
180 = x + 62

Subtract 62 from both sides:
118 = x

Answer:
The measure of the other angle is 118°.

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someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

Area of triangle BCD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

What is the length of a hypotenuse of a triangle if each of its legs is 4 units

azamat

Answer:

$\boxed{c = 5.7 units}$

Step-by-step explanation:

Using Pythagorean Theorem:

=> $c^2 = a^2+b^2$

Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)

=> $c^2 = 4^2+4^2$

=> $c^2 = 16+16$

=> $c^2 = 32$

Taking sqrt on both sides

=> c = 5.7 units

8 0

3 years ago

Read 2 more answers

you roll a 6-sided die with faces numbered 1 through 6, and toss a coin what is the probability of rolling a 2 or getting heads

KatRina [158]

Answer:

2/3

Step-by-step explanation:

You have 6 possible outcomes. Getting 1 outcome is 1/6. You have 2 possible outcomes. Getting 1 outcome is 1/2.

Add 1/2 and 1/6 to get 2/3

5 0

3 years ago

49x2 - 81 is an example of the difference of two

Shkiper50 [21]

Answer:

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

Step-by-step explanation:

Formulas are used to factorize the polynomials.

In the given question, we can see a difference of squares

the difference of squares can be factorized using the formula

$a^2-b^2 = (a+b)(a-b)$

Here a^2 and b^2 are squares and factorized as sum and difference of numbers.

So in the given options,

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

7 0

2 years ago

Melissa's chocolate bar is 77% cocoa. If the weight of the chocolate bar is 92 grams, how many grams of

Elena L [17]

Answer:

70.8

Step-by-step explanation:

77% is the same as 0.77 so
92 * 0.77 = 77% of 92
92 * 0.77 = 70.84
rounded to the nearest tenth
70.8

7 0

2 years ago

Read 2 more answers