All categories

2 years ago

3.) What is the measure of angle a in the triangle below? a 50°

Mathematics

2 answers:

Rom4ik [11]2 years ago

7 0

40°

Step-by-step explanation:

∠ACB = ∠DCE ( vertically opposite angle )

Now...

a + 90° + 50° = 180° ( the sum of interior angle of triangle is 180° )

a + 140° = 180°

a = 180° - 140°

a = 40°

hence the value of a is 40°

Salsk061 [2.6K]2 years ago

4 0

The answer is 40 degrees
Opposite angles are congruent and equal in measure so the bottom angle is 50 and their is a right angle that is90. Sum of all three angles is 180.
50 + 90 + a = 180 so
It is 40.

You might be interested in

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 = $\frac{4.04}{200}$

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

present value = 18089.96

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

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

4 years ago

find the slooe word problem. A friend gifts you a pet rock collection. You decide to grow the collection by 10 pet rocks every m

babymother [125]

I disagree with the student because the slope is the rate of change. The slope would be 10 because the rocks are increasing by 10 every month.

8 0

3 years ago

Ill give brainiest, dont guess please

andrew-mc [135]

I don't know the first one but the second one is The second national bank was chartered in 1816.

4 0

3 years ago

Read 2 more answers

Find the interval(s) of upward concavity on this accumulation function.

maxonik [38]

$\displaystylef(x)=\int_{0}^{x^2}\sec^2(\sqrt{x})dx \\=\int_{0}^{\sqrt{x^2}}\sec^2(u)\cdot2udu \\=2\int_{0}^{\sqrt{x^2}}\sec^2(u)du \\=2\Big[u\tan(u)-\int\tan(u)du\Big]_{0}^{\sqrt{x^2}} \\=2\Big[u\tan(u)+\ln\Big(\mathrm{abs}(\cos(u))\Big)\Big]_0^x \\=2\Big(x\tan(x)+\dfrac{1}{2}\ln\Big(\cos^2(x)\Big)\Big) \\=2x\tan(x)+\ln(\cos^2(x))$

Hope this helps.

6 0

3 years ago

Solve for t.

STALIN [3.7K]

Step-by-step explanation:

$12gt^2=19\qquad\text{divide both sides by}\ 12g\\\\t^2=\dfrac{19}{12g}\to t=\sqrt{\dfrac{19}{12g}}$

8 0

3 years ago