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tankabanditka [31]
3 years ago
6

Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. Th

e value of x is
a.9
b.18
c.35
d.71
Mathematics
1 answer:
vekshin13 years ago
4 0
It is a rule that alternate angles are equal, so using this fact, we can say that:
3x + 17 = x + 53
- x
2x + 17 = 53
- 17
2x = 36
÷ 2
x = 18
Which means that your answer would be B. x = 18
I hope this helps!
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The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.
Arisa [49]

Answer:

12; 8

Step-by-step explanation:

length-x

breadth-2/3x

2(x+2/3 x)=40

2×5/3x=40

10/3x=40

x=40÷10/3

x=40×3/10

x=12 (cm) length

2/3×12=8 (cm) breadth

6 0
3 years ago
F(x)=-x^2+3 find f(-2)
Black_prince [1.1K]

Answer:

f(-2) = -1

Step-by-step explanation:

f(x) = -x^2 + 3

f(-2) means when x is -2

Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1

8 0
3 years ago
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tangare [24]
X= mountain dew    y= coke

-(5x+5y=1160)
8x+5y=1523

-5x-5y=-1160
+
8x+5y=1523

<u>3x</u>=<u>363
</u><u />3      3

x=121 g of sugar in Mt. Dew

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4 0
3 years ago
–4k + 5 ≤ 21 i need help please
Allushta [10]
Answer :
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OR
interval form: [-4, ∞)

6 0
3 years ago
Read 2 more answers
You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 pe
SIZIF [17.4K]
The complete question in the attached figure
 we have that
x-------------> number of hours works at Burger Palace -----> <span>$8
</span>y-------------> number of hours works at <span>community center</span> -----> $10
<span>
8x+10y>=200

using a graph tool
see the attached figure

the answer is the option B
</span><span>
</span>

8 0
3 years ago
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