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erastovalidia [21]
2 years ago
8

Choose the Theorem needed to find x, then find x.

Mathematics
1 answer:
Maru [420]2 years ago
5 0

Answer: triangle sum , x= 9

Step-by-step explanation:

The triangle angle sum theorem states that the 3 interior angles of a triangle sum to 180 degrees. Add all of the angle measures together and set equal to 180. (3x-4)+(5x-7)+(13x+2) = 180. Combine like terms. 21x -9 = 180. Add 9 to both sides. 21x= 189. Divide both sides by 21. X = 9

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Can omeone help i cant solve this
Bumek [7]

Answer:

the answer is forty five

5 0
3 years ago
. A board game has dice shaped like octahedrons. Each edge of the dice has length 1 cm and the h= √ 2/ 2 cm. What is the volume
taurus [48]

Answer:

Step-by-step explanation:

The octahedron is formed from 2 congruent square pyramids.

Since each die has the shape of an octahedron, we would determine its volume by applying the formula for determining the volume of an octahedron which is expressed as

Volume = (a³√2)/3

Where

a represents the length of each edge.

From the information given,

a = 1 cm

Therefore,

Volume = (1³√2)/3 = 0.471 cm³

5 0
3 years ago
Which of the following represents fifth root of x squared in exponential form? x to the 2 fifths power x to the 5 over 2 power 5
Semmy [17]
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\quad \\
% rational negative exponent
a^{-\frac{{ n}}{{ m}}} =
 \cfrac{1}{a^{\frac{{ n}}{{ m}}}} \implies \cfrac{1}{\sqrt[{ m}]{a^{ n}}}\qquad\qquad 
%  radical denominator
\cfrac{1}{\sqrt[{ m}]{a^{ n}}}= \cfrac{1}{a^{\frac{{ n}}{{ m}}}}\implies a^{-\frac{{ n}}{{ m}}} \\\\
-----------------------------\\\\
\sqrt[5]{x^2}\iff x^{\frac{2}{5}}
3 0
3 years ago
You toss a fair number cube with 1 to 6 and flip a coin.
ludmilkaskok [199]

Answer:

1/6

Step-by-step explanation:

its unlikley because 1 out of 6 chances that youll land on a six or something and a 50 50 chance that you'll land on heads or tails. Unlikcry for te dice rills and likekly for the coins toss

8 0
2 years ago
Write f(x)=8x^2-4x+11 in vertex form
Vlad [161]

Answer:

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}

or

f(x)=8(x-0.25)^{2}+10.5

Step-by-step explanation:

we have

f(x)=8x^{2}-4x+11

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

f(x)=8(x^{2}-\frac{1}{2}x)+11

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}

Rewrite as perfect squares

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2} ----> equation in vertex form

or

f(x)=8(x-0.25)^{2}+10.5

The vertex is the point  (0.25,10.5)

3 0
3 years ago
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