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MariettaO [177]
3 years ago
15

What is the value of angle k

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:∠k = 121°

Step-by-step

Exterior Angle Theorem:

The measure of an exterior angle is equal to the sum of the two remote interior angles.

Add 31° and 90° to get ∠K

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What is the surface area of prism below?
valkas [14]

Answer:

240 cm^2

Step-by-step explanation:

Comment

There are 2 ends that are in the shape of a triangle

There is 1 base that is rectangular

There are 2 roof tops that are rectangular in shape.

Find the area of the triangles, base, 2 roof parts.

Solution

<em>1 base</em>

w = 4 cm

L = 12 cm

Area = L*w

Area = 12*4

Area =                                             48 cm^2

<em>Two Triangles</em>

B = 4 cm

H = 6 cm

Area = 1/2 b * h

Area = 1/2 6 * 4

Area = 12 cm

But there are 2 triangles

Area 2 triangles                              24 cm^2

<em>Two roof tops</em>

L = 12 cm

w = 7 cm          

Area = L*w for one roof top        

Area = 12*7 cm                                

Area = 84 cm^2

But there are 2 of them      <u>            168 cm^</u>2

Total Area                                        240  cm^2

6 0
2 years ago
Read 2 more answers
12(r + t) - 6(r + t) + 4(r +t) - (r + t)
Kaylis [27]

Answer:

10r+10t

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Graph the inequality y&gt; 2x +3
adelina 88 [10]

Graph the inequality y> 2x +3

Solution

<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.

<u>Step 2:</u> Forming the table.

Let's take x = -1 and find the value of y.

Plug in x = -1 and find the value of y.

y = 2(-1) + 3 = -2 + 3 = 1

When x = -1, the value of y is 1.

So the coordinates are (-1, 1)

Plug in x = 0 and find the value of y.

y = 2(0) + 3 = 3

The coordinates are (0, 3)

Plug in x =1 and find the value of y.

y = 2(1) + 3 = 2 + 3 = 5

The coordinates are (1, 5)

<u>Steo 3: </u>Now let's plot the points and draw the graph.

Since the graph is greater than, we have to draw the dotted lines and shade the region above.

Note: You can find the graph in the attachment.

Thank you :)

7 0
3 years ago
9x + 8 y = -6<br> -9x - 9y - 9<br> Elimination
kolezko [41]

Answer:

x = 2, y = -3

Step-by-step explanation:

Add them together and get

9x + 8y - 9x - 9y = -6 + 9

-y = 3

so y = -3.

Sub it into the first equation and get

9x + 8(-3) = -6

9x - 24 = -6

9x = -6 + 24 = 18

x = 18/9 = 2

6 0
2 years ago
Find the area of the figure.
madreJ [45]

answer:

4.5m²

explanation:

1. <u>find area of the circle</u>

A(circle)=πr²

A=π(2.3²)

A=16.62m²

2. <u>find area of the square</u>

the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.

A(square)=s²

A=4.6²

A=21.16m²

3. <u>subtract the two areas</u>

to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.

A(shaded)=21.16-16.62

A=4.54097487m²

(be sure to round as necessary)

--

if this helped, please consider giving brainliest !

5 0
3 years ago
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