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3 years ago

A triangle has an angle of 90 degrees and the other 2 angles are equal. What is the measurement of the other angles?

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

45 deg

Step-by-step explanation:

let each of the other angles be x deg

it is given that the other 2 angles are equal, hence the 3 angles are 90 deg, x deg and x deg.

recall that the interior angles of a triangle always add up to 180 deg

hence,

90 + x + x = 180 deg

90 + 2x = 180

2x = 90

x = 45 deg

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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:

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

3 0

9 months ago

The population od a small country is 5,740,000. Express this number using scientific notation. Say steps to.

bija089 [108]

5,740,000( you have to make the number less than 10

5.740000 ( you put a decimal to make it less )

5.74e6 (you count how many times you skipped over to get at the decimal point , and that's your awnser .

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3 years ago

3 (x-1) - 8 = 4 (1+x) + 5 Solve it please?

tigry1 [53]

Answer:

X= -20

Step-by-step explanation:

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2 years ago

Pleaseeee help I’ll mark you as Brainly if the answers correct with no link just tell me please

Ksenya-84 [330]

Answer:

Step-by-step explanation:

25-2t=0

2t=25

t=25/2=12.5 hrs.

6 0

2 years ago

Read 2 more answers

1. Ramesh ordered 10 cartons of chocolates to distribute among the class. Each carton holds 20 boxes and each box has 12 chocola

Pie

Answer:

1 box has 12 chocolates

thus 20 boxes have ( 20 * 12) = 240 chocolates

1 carton has 240 chocolates (20box)

10 cartons have 240 * 10 = 2400 chocolates

3 0

2 years ago