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zmey [24]
3 years ago
14

Find the value of x.

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
<h2>x = 80°</h2><h2>--------------------------------</h2>

<u>Step-by-step explanation:</u>

58° + 42° + x = 180° -- (Δ sum property)

100° + x = 180°

x = 180° - 100°

x = 80°

<h2>--------------------------------</h2><h2>FOLLOW ME</h2>
RUDIKE [14]3 years ago
3 0

Answer:

80°

Step-by-step explanation:

42° + 58° + x = 180° [Angle sum property of triangle]

=> 100 + x = 180

=> x = 180 - 100

=> <u>x = 80 (Ans)</u>

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(factor out) 3x(to the power of 2) -39x+36
motikmotik
3x² - 39x + 36
3(x²) - 3(13x) + 3(12)
3(x² - 13x + 12)
3(x² - 12x - x + 12)
3(x(x) - x(12) - 1(x) + 1(12))
3(x(x - 12) - 1(x - 12))
3(x - 1)(x - 12)
7 0
3 years ago
Algebra 1 polynomials hellllp​
defon
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
8 0
2 years ago
How does tan 135 degrees compare to tan -135 degrees
Anna007 [38]
Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1

next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
3 0
3 years ago
How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
3 years ago
About 70% of Earth’s surface is covered by water. If the diameter of Earth is about 12,750 km, find the area not covered by wate
hichkok12 [17]
Earth diameter = 12,750 km
Earth radius = 6,375 km
Sphere Surface Area     =    <span> 4 • <span>π <span>• r²
</span></span></span>Sphere Surface Area     =    4 * 3.141<span>59 * 6375^2
</span>Sphere Surface Area     =    4 * 3.14159 * <span> <span> <span> 40,640,625 </span> </span> </span>
<span> <span> <span> Earth's Entire </span></span></span><span>Surface Area     =    510,704,724 square kilometers
Surface NOT covered by water =  </span><span>510,704,724 * .3
</span>Surface NOT covered by water =  <span> <span> <span> 153,211,417</span></span></span><span> square kilometers</span>


4 0
3 years ago
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