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alexandr402 [8]
2 years ago
7

What is m∠C? Enter your answer in the box. m∠C= °

Mathematics
1 answer:
serious [3.7K]2 years ago
5 0

Answer:

m∠C = 60°

Step-by-step explanation:

First, let's start with the fact that all angles in a triangle add up to 180°. That means that:

x+3x+2x=180°

We can simplify it into:

6x=180°

To figure out x, we need to divide 180 by 6.

That means each x is 30°

m∠C = 2x

m∠C = 60°

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Ratling [72]

wdym get more questions like ask more?

5 0
2 years ago
Use the net to find the surface area of the prism 8in 15in 17in 9in
exis [7]

Answer:

The surface area of the prism is <u>480 in²</u>.

Step-by-step explanation:

Given:

The prism dimensions are 8in 15in 17in and 9in.

Now, to find the surface area:

So, to get the surface area we put formula:

a=8in, b=15in, c=17in and h=9in.

Surface area = 2A+(a+b+c)h.

Whereas, A=\sqrt{s(s-a)(s-b)(s-c)}

And, s=\frac{a+b+c}{2}

<em>Now, we find </em><u><em>s</em></u><em> first:</em>

s=\frac{a+b+c}{2}

s=\frac{8+15+17}{2}

s=\frac{40}{2}=20.

<em>Then, we get</em><u><em> A </em></u><em>:</em>

A=\sqrt{s(s-a)(s-b)(s-c)}

A=\sqrt{20(20-8)(20-15)(20-17)}

A=\sqrt{20(12)(5)(3)}

<em>On solving we get:</em>

A=\sqrt{3600}=60.

Now, putting the value of A in the formula to get the surface area:

Surface area = 2A+(a+b+c)h.

Surface area = 2\times 60+(8+15+17)9.

Surface area = 120+(40)9.

Surface area = 120+360.

Surface area = 480\ in^2.

Therefore, the surface area of the prism is 480 in².

6 0
3 years ago
Helpppppppppppppppppp 25 points
Otrada [13]

\qquad\qquad\huge\underline{\boxed{\sf Answer}}

Things we need to keep in mind in order to plot a point :

  • x - coordinate of the point shows its distance from origin in horizontal direction.

  • y - coordinate of the point shows its distance from origin in vertical direction.

Signs of the coordinates shows which side it lies on.

  • if x coordinate is positive then the point lies on right side of y - axis and if it is negative then it lies on left side of y - axis.

similarly,

  • if y coordinate is positive then the point lies above the x - axis , and if it's negative then it lies on down the x - axis.

Now, let's proceed ~

First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.

So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.

7 0
2 years ago
Graphing the Solution of an Inequality on the Number Line
katrin2010 [14]

Answer:

x < 4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 4/(-1).

6 0
2 years ago
WILL MARK BRAINLIEST
kicyunya [14]

Answer:

66 cm

Step-by-step explanation:

Let's define the circumference first.

It is the boundary of any curved geometric figure specially circle.

We are given the diameter of the circle in the diagram

The diameter is:

d = 21 cm

to find the circumference, we have to find the radius of the circle first.

As radius is half of diameter

d = r/2

= 21/2

= 10.5 cm

The formula for circumference is:

C = 2\pi r\\Putting\ the\ values\\C = 2 * \frac{22}{7}*10.5\\ C = \frac{462}{7}\\ C= 66\ cm

The circumference is 66 cm ..

8 0
3 years ago
Read 2 more answers
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