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pychu [463]
3 years ago
14

6. ∠A and ∠B are vertical angles. M∠B= (3x+4)° and m∠A = (x+48)° find the measure of angle A

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

In Triangle

ABC with the right angle at C, let a,b, and c be the opposite, the adjacent, and the hypotenuse of ∠A. Then, we have

sin A=ac⇒m∠A=sin−1(ac)

sin B=bc⇒m∠B=sin−1(bc)

I know its not the answer but I hope it was helpful

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Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5
givi [52]
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0
3 years ago
HELP PLEASE! DUE TMR! Answer whichever ones you want and i can try to deal with the rest. I just have alot of work and need extr
Yuri [45]

Answers

1) 4

2) 0, 2, -10

3) 0, 5, -2

Step-by-step explanation:

1) x³ - 64 = 0

x³ = 64

x = 4

2) x³(x² + 8x - 20) = 0

x³(x² + 10x - 2x - 20) = 0

x³(x(x + 10) - 2(x + 10)) = 0

x³(x + 10)(x - 2) = 0

x = 0, 2, -10

3) x³ - 3x² - 10x = 0

x(x² - 3x - 10) = 0

x(x² - 5x + 2x - 10) = 0

x(x(x - 5) + 2(x - 5)) = 0

x(x - 5)(x + 2) = 0

x = 0, 5, -2

4 0
3 years ago
Find the difference. write the difference in lower term 8 ⅓-5
sergejj [24]

Given data:

The given expression is 8 ⅓-5.

The given expression can be written as,

\begin{gathered} 8\frac{1}{3}-5=\frac{25}{3}-5 \\ =\frac{25-15}{3} \\ =\frac{10}{3} \end{gathered}

Thus, the difference of the given expression is 10/3.

5 0
1 year ago
Can anyone help with this?
Len [333]

Answer:

226.2‬

Step-by-step explanation:

32.5+42.9=75.4

75.4*3=226.2‬

226.2 is the answer.

5 0
3 years ago
The following is the recipe to make one dozen muffins: 1 cups flour; 2 cups sugar; 2 tsps. Baking powder; 1 egg; 1 cup Crisco; 1
ivolga24 [154]

1.5 cups of flower, 3 cups sugar, 3 tbsp. baking powder, 1.5 eggs, 1.5 cups of Crisco, 1.5 cups of skim milk (hopefully not skin milk), and 1.5 cups of blueberries. Because 18 is 12 x 1.5 you just multiply all the given numbers by 1.5.

4 0
3 years ago
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