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denis-greek [22]
3 years ago
9

What’s the value of x in each triangle?

Mathematics
1 answer:
vazorg [7]3 years ago
8 0

Answer:

<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>

Step-by-step explanation:

Let's name the angle to the right of 125° as 'y'.

y = 180 - 125 (linear pair)

<u>y = 55</u>°

Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)

x = 180 - (55+55)

x = 180 - 110

<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>

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There are two formulae you can use to calculate the number of apple trees and the number of conifer
Leno4ka [110]

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

  n·n

  8·n

and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

__

More formally, we could write ...

  n^2 = 8n . . . . the two formulas give the same value

  n^2 -8n = 0 . . . . rearrange to standard form

  n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

  n = 0 . . . . . makes the factor n = 0

  n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

__

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

5 0
3 years ago
Evaluate h(5t^{2})given that h(t)=17-11t
Gala2k [10]
h(t)=17-11t
h(5t^{2})=17-11(5t^{2})
h(5t^{2})=17-55t^{2}
5 0
3 years ago
If (5^2)p = 5^12, what is the value of p?
mr Goodwill [35]
Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.
3 0
3 years ago
Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of
valina [46]

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

5 0
3 years ago
Read 2 more answers
In circle O, what is mArc A E?
posledela

Answer:

Option (3). 120° will be the answer.

Step-by-step explanation:

By using the theorem of secants intersecting externally,

Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.

m∠C = \frac{1}{2}(m\widehat{AE}-m\widehat{BD})

36° = \frac{1}{2}(m\widehat{AE}-48)

72° = m\widehat{AE}-48°

m\widehat{AE} = 72 + 48

m\widehat{AE} = 120°

Therefore, Option (3) is the answer.

7 0
3 years ago
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