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2 years ago

ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.

Mathematics

1 answer:

Lana71 [14]2 years ago

4 0

Answer:

$x\degree = 75\degree$

Step-by-step explanation:

Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

$= > 62\degree + (x + 13)\degree = 2x\degree \\ \\ = > 62\degree + x\degree + 13\degree = 2x\degree \\ \\ = > 75\degree = 2x\degree - x\degree \\ \\ = > 75\degree = x\degree \\ \\ = > x\degree = 75\degree$

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Needing help with problems 1,2,3. and 4

Marrrta [24]

1 and 2 are 1/4 and 90 degrees
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2 years ago

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

fenix001 [56]

Answer:

Let us consider the expression:

$\frac{a^5\cdot b^6}{a^2\cdot b^9}$ (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

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3 years ago

Read 2 more answers

Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

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1 year ago

I need to know all the angles that are congruent

Alinara [238K]

Congruent to angle 1: 3, 5, 10, 8, and 6
congruent to angle 2: 4, 9, and 7

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3 years ago

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Farmer John can plant 3/8 of row of crops in 1/8 of his regular work day. If Farmer John works for 8 hours a day. How many days

faust18 [17]

Your answer will be 12 since 8/8 is one whole and you need 12 so your answer is 12

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3 years ago