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Bogdan [553]
2 years ago
14

Find the value of the variables, giving brief reasons for your answer:​

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

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x= infinity; 9x to the power of 3 + x to the power of 2 - 5 divided by 3x to the power of 4 + 4x to the power of 2
Delvig [45]

Answer:

here n Hope it helps. goodluck

5 0
2 years ago
Help pleaseeeeeeee.
Dmitry_Shevchenko [17]
Answer: 11x

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Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0
3 years ago
Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?
zysi [14]

Answer:

  215°

Step-by-step explanation:

Add multiples of 360° until you get an angle in the desired range:

  ∠B = -865° + 3×360° = 215°

4 0
3 years ago
Read 2 more answers
The set of relative max/min and absolute max/min are referred to as _______.
PIT_PIT [208]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Answer choices:
vova2212 [387]
A and T are points. On their own, they cannot define a line. So we can rule out choice A

WCR and TRA are angles. For any triple the points do not fall on the same straight line. So we cannot define any lines here. This crosses off choice B

Choice C is the answer because WC does define a line. We only need two points to form a line. Similarly CR does the same job. We draw a line marker with two arrows at each end to be placed over the letters to indicate "line". 

Choice D is similar to choice D; however, it is not the answer because WT is the same line as WC. In other words, WC = WT. We haven't named a new line at all. We're simply repeating ourselves. 
6 0
3 years ago
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