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Zepler [3.9K]
3 years ago
10

Show all work Find exact value of x

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

129 is x

Step-by-step explanation:

Your equation would be like this x= 45 + 6=180 (180 because the sum of the angle measures in a triangle is 180 always)

so once you add 45+6 =51 the equation is now x=51=180 so you subtract 51 from both sides so it equals as this x=51=180

                                                                                         x =-51= -51

                                                                                         x=         129

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Given the following perfect square trinomial, fill in the missing term. <br><br> x2 − 16x + ____
ahrayia [7]

Answer:

x^{2}-16x+64

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following perfect square trinomial given in the problem:

x^{2}-16+

2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:

(\frac{-16}{2})^{2}=(-8)^{2}=64

4 0
3 years ago
How do I solve this problem step by step mesningbwjat will I do first <br> -17+43+(-5)
nataly862011 [7]

Step-by-step explanation: 1. Distibute the + (if there is no number after it, it means 1), so -17+43-5. 2. Then you just solve from left to right

4 0
2 years ago
*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*
Artyom0805 [142]

Answer: 1️⃣ 40

Step-by-step explanation:

<em>x - is the side of the square</em>

<em />x^{2} +x^{2}   =(10\sqrt{2})^{2}  \\2x^{2}}  =200\\2x^{2} \div  2=200 \div  2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \:  [cm] - side \: of  \: a \: square<em />

<em>Find the perimeter of the square.</em>

<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>

<em />

8 0
2 years ago
In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?
Neporo4naja [7]

The measurements of the figures that should be equal in order for the ratio of volumes between the volumes of the cone, sphere, and cylinder of 1:2:3 to be true is; The radius and the height

<h3>What is a ratio?</h3>

A ratio is a comparison between the magnitudes or measurements of items, expressing the number of times one item in the ratio is contained within another item in the ratio.

The formula for the volume of a cone, V_p is, V_p = (1/3)·π·r₁²·h₁

The formula for the volume of a sphere, V_s, is V_s = (4/3)·π·r₂³

The formula for the volume of a cylinder, V_c, is V_c = π·r₃²·h₃

The ratio of the volumes in the question is 1:2:3

Therefore; The volume of the sphere is twice the volume of the cone, and the volume of the cylinder is three times the volume of the cone, which indicates;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁...(1)

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁...(2)

Equation (1) indicates that we have;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁

Where, h₁ = 2·r₂, we get;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·(2·r₂) = (4/3)·π·r₁²·r₂

Therefore; r₁ = r₂, and the diameter of the sphere is equal to the height of the cone

The radius of the cone is equal to the radius of the sphere

Equation (2) indicates;

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁ = π·r₁²·h₁

Therefore;

r₃²·h₃ = r₁²·h₁

r₃ = r₁

h₃ = h₁

The radius of the cone = The radius of the cylinder

The height of the cone = The height of the cylinder

  • The ratio of the volumes, 1 : 2 : 3 is true when the measurements of the radius and the height are equal for all three solids.

Learn more about the volume of regular solids here:

brainly.com/question/15316195

#SPJ1

4 0
1 year ago
The length of a rectangle is twice the width. the perimeter of the rectangle can be expressed as 3⋅13.73. what is the width?
SVEN [57.7K]
X = width

2x + x = 3 · 13.73
3x = 41.19
x = 13.73

The width is 13.73 units.
3 0
2 years ago
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