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2 years ago

What is the value of x?

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

5 0

Answer:

121°

Step-by-step explanation:

The angle with measure x is an exterior angle of the triangle.

The angles measuring 90° and 31° are the remote interior angles to the exterior angle.

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

x = 31 + 90

x = 121°

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A student was asked to rewrite using only the associative property of multiplication. Which is the correct response?

tatiyna

Given that the associative property of multiplication says that you can group the numbers in any combination, we can reorganize the expression as: 7·(10·3)=210. So the answer would be the first option.

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2 months ago

Find the area. 5cm 3cm 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

Determining the perimeter of the triangle:

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

Determining the half of perimeter:

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

Replacing the value of "s" in the formula:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

Evaluating the area:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(6)}$

$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

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1 year ago

BRAINLIEST FOR RIGHT ANSWER!!! The graph shows two lines, A and B. (IMAGE BELOW) How many solutions are there for the pair of eq

Veronika [31]

Answer:

1 solution; (1,4)

Step-by-step explanation:

Whenever two lines intersect, their solution is the point that the two share in common. Here, it's (1,4), so that is the answer.

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2 years ago

What is the volume of an area 12cm high x 8 cm diameter

dlinn [17]

Radius=8/2=4cm
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The answer is 602.88cm₃

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2 years ago

3r^2-8r-28=0 Solve with quadratic formula

mestny [16]

(8 plus of minus radical 64 + 216
divided by
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2 years ago

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