All categories

2 years ago

Hi. I was confused on how to solve for x in this problem

Mathematics

1 answer:

Nostrana [21]2 years ago

7 0

It is 70° because the other triangle has the same angle and it is labeled 70° in the other triangle.

Answer: 70°

You might be interested in

Simplify 864

galben [10]

The answer is C. 12 divided by 6.

6 0

2 years ago

From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2

Crazy boy [7]

Answer:

4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

= 4x^2 +9xy +6y^2

5 0

2 years ago

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

2 years ago

Write an expression to match the statement below Add 5 to 48 divided by 12

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

48+ 5 = 53 divided by = 49

8 0

2 years ago

Sandy works at a clothing store. She makes $7 per hour plus earns 10% commission on her sales. She worked 72 hours over the last

MArishka [77]

7(72) + 0.10(2574) = 504 + 257.40 = 761.40 <== this is how much she will earn. Your gonna have to pick the answer choice that is the closest since no answer choices were given.

3 0

2 years ago