All categories

3 years ago

In the figure, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

Answer:

mÐ4 = 30°

Step-by-step explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.

You might be interested in

A particle is moving with acceleration a ( t ) = 18 t + 16 . Its position at time t = 0 is s ( 0 ) = 10 and its velocity at time

MatroZZZ [7]

Answer:

$s(8)=2186$

Step-by-step explanation:

A particle is moving with acceleration modeled by the function:

$a(t)=18t+16$

We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.

And we want to find its position at t = 8.

Velocity is the integral of the acceleration. Hence:

$\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt$

Find the velocity. Remember the constant of integration!

$v(t)=9t^2+16t+C$

Since v(t) is 16 when t = 0:

$(16)=9(0)^2+16(0)+C\Rightarrow C=16$

Hence, our velocity is given by:

$v(t)=9t^2+16t+16$

Position is the integral of the velocity. Hence:

$\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt$

Integrate:

$\displaystyle s(t)=3t^3+8t^2+16t+C$

s(t) is 10 when t = 10. Hence:

$C=10$

So, our position function is:

$s(t)=3t^3+8t^2+16t+10$

The position at t = 8 will be:

$s(8)=3(8)^3+8(8)^2+16(8)+10=2186$

3 0

3 years ago

I need help!!!!!!!!!!!!!!

just olya [345]

Anwer:

A. By the definition of a perpendicular Bisector.

5 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Bess [88]

Hello,
Please, see the attached files.
Thanks.

3 0

3 years ago

Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for each contract with the city

IrinaK [193]

25x+140=y. 25(10)+140=390.

5 0

3 years ago

Read 2 more answers

A company is planning to manufacture snowboards. The fixed costs are $ 100$100 per day and total costs are $55005500 per day at

Rama09 [41]

Answer:

The equation for total cost function is

C(x)=100+270x

Step-by-step explanation:

Variable cost per per board =total cost per day-fixed cost per day/daily output

total cost per day is $5,500

fixed cost per day is $100

20 boards are produced per day

variable cost per board=($5,500-$100)/20=$270 per day

Total cost C(x)=fixed cost per day+ variable per board*number of daily output

Since daily output is represented also by x ,total cost function is given thus:

C(x)=100+270x

4 0

3 years ago