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____ [38]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

x = 107

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360

105 + 148 +x =360

Combine like terms

253 +x = 360

Subtract 253 from each side

253-253+x = 360-253

x = 107

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Find the surface area.
denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

57.5 + 25 + 115 = 197.5 in²

5 0
2 years ago
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
frutty [35]

Answer:

A yes

Step-by-step explanation:

you use the pythagorean theorem

7 0
2 years ago
Read 2 more answers
A tug boat traveled -15 miles in 0.3 hours what was its velocity
GenaCL600 [577]

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s

4 0
3 years ago
Consider the function y = -2-3cos (x+pi). What effect does the -2 have on the basic graph
Elenna [48]

ANSWER

-2 shift the graph of the basic function down by 2 units.

EXPLANATION

The given cosine function is:

y =  - 2 - 3 \cos(x + \pi)

This equation can be rewritten as:

y =  - 3 \cos(x + \pi)  +  - 2

We compare this to

y = a \cos(bx + c)  + d

The effect d has on the graph is that, it shifts the graph up by d units.

If d is negative the graph shifts down by d units.

Since d=-2, the graph will shift down by 2 units.

5 0
3 years ago
Jenna was 4 4/6 feet tall last year. This year she is 5 2/6 feet tall. How many feet did Jenna grow in the past year
oee [108]
You want to subtract the heights. 5 2/6-4 4/6=5 1/3-4 2/3=2/3.
5 0
3 years ago
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