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11111nata11111 [884]
3 years ago
13

Your friend grace needs help to find the values of x,y and z in the figure below

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answers:

x = 57

y = 86

z = 37

=================================================

Work Shown:

x+123 = 180 .... since x and 123 form a straight line

x = 180-123

x = 57

y = 86 since the y and 86 angles are vertical angles

-------

For any triangle, the three angles always add to 180. So,

x+y+z = 180

57+86+z = 180

143+z = 180

z = 180-143

z = 37

As a check,

x+y+z = 57+86+37 = 180

which confirms the value of z

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Simplify the following;<br><br> 8v + w + 7 - 8v + 2w<br> 4c² + 6c - 3c² - 2c - 3<br><br> Thanks!
Dominik [7]

Answer:

3w+7

c^2 + 4c - 3

Step-by-step explanation:

8v+w+7-8v+2w

8v-8v +w+2w +7

0+3w+7

3w+7

4c^2+6c-3c^2-2c-3

4c^2-3c^2 + 6c-2c -3

c^2+4c-3

3 0
3 years ago
Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)
Ivan

Answer:

\Large \boxed{\mathrm{Option \ 2}}

Step-by-step explanation:

2x^2 =16

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

\displaystyle \frac{2x^2 }{2} =\frac{16}{2}

x^2 =8

Taking the square root of both sides.

\sqrt{x^2 } =\pm \sqrt{8}

x=\pm 2\sqrt{2}

7 0
3 years ago
Read 2 more answers
Can someone please help me with this question
vladimir2022 [97]
I think 3.2 is correct!

4 0
3 years ago
Which set of graphs can be used to find the solution set to 3 log2(x + 4) &lt; 6?
alexgriva [62]

Answer:

It's graph D

Step-by-step explanation:

5 0
3 years ago
Here is another one I need help with​
aksik [14]

Answer:

Step-by-step explanation:

Surface area of objects with flat surfaces like this is simply the area of each surface added together, so let's get to work.

Both have 6 faces, so we will be adding six values together for each.

Container A:

Hopefully you can imagine the six different faces.  It's kinda like a cereal box.

The front and back of a cereal box have the same area, as do the two sides and the top and bottom, so that makes it a little easier.

Front and Back:  28 * 36 = 1008

Sides: 36*6 = 216

Top and Bottom: 6*28 = 168

Let me know if you don't understand how I did any of that.  Anyway, since there is a matching face for each we add them all together twice.  

1008*2 + 216*2 + 168*2 = 2784 in^2

Container B has a similar setup, I won't write out everything like I did unless you want me to work it out with you.

2(16*12+16*22+22*12) = 1616 in^2

So since Container A has a surface area of 2784 and Container B has a surface area of 1616 it's obvious container A has a larger surface area

4 0
3 years ago
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