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sveta [45]
1 year ago
14

Find the value of x.

Mathematics
1 answer:
marshall27 [118]1 year ago
5 0

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

<em>Check</em>

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

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How would you describe the difference between the graphs of f(x) = x^2 +4 and<br> g(y) - y^2 +4?
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Answer:

Step-by-step explanation:

The function f(x)=x^2+4 is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function g(y)=y^2+4 is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.

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3 years ago
2) A government agency produced a study in which they randomly chose 100 students just beginning college to determine what perce
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The answer is B. some of the sample data are missing.

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3 years ago
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with
yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, s_A = 12 inches

Height of A, h_A = 8 inches

Side Length of B, s_B = 48 inches

Height of B, h_B = 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

V_B is how many times bigger than V_A ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}

Here, base is square, so:

V=\dfrac{1}{3} \times s^2 \times h

Volume of pyramid A:

V_A=\dfrac{1}{3} \times s_A^2 \times h_A

\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3

Volume of pyramid B:

V_B=\dfrac{1}{3} \times s_B^2 \times h_B

\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0
3 years ago
What is the least common denominator of the fractions 4/15 1/6 and 3/4
Alexus [3.1K]

Answer:

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6 = 2 * 3

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3 years ago
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