Ask question

Ask question

All categories

3 years ago

12

16. What is the measure of ZAOB?

1 answer:

skelet666 [1.2K]3 years ago

7 0

Find angle a2 which is 40 degrees because it is parallel to angle c.

Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees

Find d1 and d2 separately.
100 divided by 2 = 50 degrees

Use d1 to find b1 to find total of a1 and a2.

b1 is parallel to d1 so b1 = 50 degrees

a1 and a2 = 180 - 50 - 50 = 80 degrees

a1 = 80 divided by 2 = 40

Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees

Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.

180 - 40 - 50 - 40 = 50 degrees (angle b2)

AOB has b1 and a1.

40 + 50 = 90 degrees (a1 + b1 = AOB)

The answer is 90 degrees

You might be interested in

Earned income and capital gains (or "portfolio income") are acquired in different ways. Which statement describes how they are d

Dvinal [7]

Answer:

n

Step-by-step explanation:

5 0

2 years ago

Please solve these equations much appreciated

Reptile [31]

Answer:

Part c) $V=16,500\ m^3$

Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

h is the height of pyramid

<em>Find the area of the base B</em>

$B=(60)(15)=900\ m^2$

$h=55\ m$

substitute

$V=\frac{1}{3}(900)(55)$

$V=16,500\ m^3$

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

$V=\pi r^{2}h$

we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

<em>Find the approximate value</em>

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

7 0

3 years ago

Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set alge

masya89 [10]

Answer: c.(3, 25) and (7, 9)

y = –x^2 + 6x + 16 and y = –4x + 37

Plug in -4x+37 for y in first equation . It becomes

$-x^2 + 6x + 16= -4x+37$

Combine like terms. add 4x and subtract 37 on both sides

$-x^2 + 10x - 21=0$

Divide the whole equation by -1 to remove negative sign from -x^2

$x^2 - 10x + 21=0$

Now factor the left hand side

(x-7)(x-3) = 0

x-7 =0 and x-3=0

x= 7 and x=3

Now we find out y using y = –4x + 37

when x= 7 , then y=-4(7) +37 = 9

when x= 3, then y=-4(3) + 37 = 25

We write solution set as (x,y)

(7,9) and (3,25) is our solution set

7 0

3 years ago

Read 2 more answers

Suma de polinomios de 5×³+3 + 2×³-×²+1 porfavor ayuda

Sidana [21]

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3

Let's simplify step-by-step.

5x^3 + 3 + 2x^3 − x^2 + 1

= 5x^3 + 3 + 2x^3 + −x^2 + 1

Combine Like Terms:

= 5x^3 + 3 + 2x^3 + −x^2 + 1

= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )

= 7x^3 + −x^2 + 4

Answer:

= 7x^3 − x^2 + 4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3

5 0

3 years ago

Who needs Math Help?

raketka [301]

I do i posted a lot of math do the one that i posted a long time ago

3 0

3 years ago