The measure of an angle is 49Â°. what is the measure of a complementary angle?

Given: 1 and 2 are supplements, and 3 and 2 are supplements.

Ronch [10]

The <em><u>correct answers</u></em> are:

Supplementary; ∠2 and ∠3; substitution; 2.

Explanation:

Supplementary angles are angles whose measures sum to 180°. Thus this is the first answer.

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

5 0

3 years ago

Read 2 more answers

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

Vlad1618 [11]

Answer:

Area of parallelogram ABCD=13.05=13 Sq.Units

Step-by-step explanation:

Given;

A(3,6) B(6,5) C(5,1) and D(2,2)

are points for parallelogram

To Find:

Area of Parallelogram ABCD

Solution:

By using distance formula we can calculate for each length of parallelogram

But by property of parallelogram

Opposite side are parallel and equal in length

So AB|| DC i.e AB=DC

And AC|| BD i.e BD=AC

Hence I.e Dist(AB)=Dist(DC)

Now construct the ABCD parallelogram ,on graph so as to find angle made by parallelogram with plane .

(Refer the attachment)

Now

Distance of AD=Sqrt[(2-3)^2+(2-6)^2]

=Sqrt[1+16]

=4.123

Similarly for AB=Sqrt[(6-3)^2+(5-6)^2]

=Sqrt[9+1]

=3.16

ABOVE VALUES ARE SAME AS GRAPH (REFER THE ATTACHMENT)

Now ,angle made by parallelogram with plane and it is 90 degree i.e the

Now Area of parallelogram(ABCD)=a*b*sinФ

here a=4.123 units and b=3.16 units and Ф=90

Area of parallelogram=3.167*4.123*sin90

=3.167*4.123

=13.05 sq. units

3 0

3 years ago

Read 2 more answers

What is the completely factored form of x4 8x2 – 9?

Alinara [238K]

For this case we have the following polynomial:

$x ^ 4 + 8x ^ 2 - 9$

We make the following change of variables:

$u = x ^ 2$

Rewriting we have

$u ^ 2 + 8u - 9$

Factoring the second order polynomial we have:

$(u + 9) (u-1)$

Then, returning the change we have:

$(x ^ 2 + 9) (x ^ 2-1)$

Finally, we factor the expression in the parentheses of the second term:

$(x ^ 2 + 9) (x + 1) (x-1)$

Answer:

the completely factored form is:

$(x ^ 2 + 9) (x + 1) (x-1)$

7 0

3 years ago

Read 2 more answers

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

so

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

7 0

3 years ago

What is 1+9-6+5-9+3-6-7+2-5=…….

Scorpion4ik [409]

Answer:

The anwser to your question would be negative 23 (-23)

3 0

2 years ago