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ser-zykov [4K]
4 years ago
15

What is the value for x? Enter your answer in the box.

Mathematics
2 answers:
Lynna [10]4 years ago
8 0

angles BAC and BCA are equal = 69

69 +69 = 138

angles in a triangle =180

180-138 = 42

5x + 2 = 42

5x = 40

x = 8

san4es73 [151]4 years ago
7 0

Answer:

x = 8 degrees..

Step-by-step explanation:

This is an isosceles triangle so the base angles are equal and the vertex angle = 180 - 2*69

= 42 degrees.

Therefore:

5x + 2 = 42

5x = 40

x = 8 (answer).

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DUE TOMORROW
krek1111 [17]

Answer:

c. 84   if wrong its 72 because im not sure if its esimated but if not its right.

Step-by-step explanation:

42x4.5=189

18x4.5=81

=270

5 0
3 years ago
In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
slavikrds [6]
Part A)<span>In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

we know that
</span>cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in

the answer Part A) is 11√2 in

Part B) <span>What is the exact value of sin 45° ?
</span>
we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2

Part C)
<span>What is the area of a regular hexagon with a side length of 4 m?

we know that

</span>In case of a regular hexagon <span> each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle
</span>
In an equilateral triangle with a side d<span> 
the altitude </span>h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
<span>Therefore, 
</span><span>h=d<span>√3/2

</span></span><span>Area of such a triangle is
</span>A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d<span> is
</span>S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²

the answer Part C) is 41.57 m²

Part D) <span>In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
</span>[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm

the answer part D) is 10 cm

5 0
3 years ago
Given the definition of like terms and hence simplify by removing brackets and collecting like terms :
Vedmedyk [2.9K]
First, distribute to cancel out brackets
= m-n+p-2m+2p-3n-n+m-2p

Collect like terms
= -5n+p

Your answer: -5n + p

Hope this helped :)
4 0
4 years ago
Please help!!
Viefleur [7K]

Answer:

  see below

Step-by-step explanation:

The figure below shows the selections I would make.

__

You can choose "polygon similarity postulate" for the second blank based on that step's similarity to the one two steps down from it.

__

Strictly speaking, the distributive property is a property of multiplication over addition. It is not a property of equality.

8 0
4 years ago
Diane makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approxi
Oksana_A [137]

Answer:

37.5%

Step-by-step explanation:

8 0
3 years ago
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