Use Cramer’s rule to solve for x: x + 4y − z = −14 5x + 6y + 3z = 4 −2x + 7y + 2z = −17

Answer:

x = 8

Step-by-step explanation:

Hello!

The missing angle in the triangle can be found by subtracting 90° and 45° from 180°. The missing angle is 45°.

This means that the triangle is isosceles, as there are two congruent base angles, 45° and 45°.

The side lengths opposite these two angles are congruent.

We can see that 8 is opposite 45°, and x is opposite 45°. Therefore, x must be equal to 8.

The value of x is 8.

Answer:

x = 8

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

The given triangle is a right triangle, so the missing angle is 45°

⇒ 180° - 90° - 45° = 45°

As the triangle has 2 equal angles, this means it is an isosceles triangle (with its vertex at the right angle).  An isosceles triangle has legs of equal measure, therefore [tex]x=8[/tex].

Proof

This can be proven by using the tan trigonometric ratio to calculate the value of x.

Tan trig ratio

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the equation and solving for x:

[tex]\implies \tan (45^{\circ})=\dfrac{8}{x}[/tex]

[tex]\implies x=\dfrac{8}{\tan (45^{\circ})}[/tex]

[tex]\implies x=\dfrac{8}{1}[/tex]

[tex]\implies x=8[/tex]

Answer:

P = 156 units

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

tangents from an external point to the circle are congruent , that is

HK = HJ ( substitute values )

13x - 8 = 7x + 4 ( subtract 7x from both sides )

6x - 8 = 4 ( add 8 to both sides )

6x = 12 ( divide both sides by 2 )

x = 2

Then

HK = HJ = 7x + 4 = 7(2) + 4 = 14 + 4 = 18

and

KI = IL = 21

then

GL = GJ = 60 - 21 = 39

Thus

P = HK + KI + IG + GJ + JH = 18 + 21 + 60 + 39 + 18 = 156 units

An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.

Hence, the term that best describes 3 is coefficient.

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Answer: 0.088

Step-by-step explanation:

There are two ways. My way is complicated, but never wrong!

0.22 converted to a fraction is 22/100,

explanation: you know this because the denominator must be 10, 100, 1000, 10000 etc... and must be one more digit than the numerator.

and 0.4 into a fraction is 4/10. but we have to have same denominators so we multiply 4/10 by 2 4 x 10 = 40; 10 x 10 = 100.

now multiply...

40   x   22  =  880

100       100      100

and turn it into a decimal, by reversing how we turned it into a decimal.

so it's 0.088!

MN=2KM

MN+KM=24

As we can see

QP is almost greater than 3/4th MN

It's atleast 10+ or even 12+

So possible perimeter excluding QJ and KJ is atleast 34 to 36 .

So it can neither be 38 nor 28 .

Only one option yields that's 48(Option D)

Answer:

4/25

Step-by-step explanation:

320 grams over 2kj(which is 2000grams) is 320/2000, simplified is 4/25

Answer:

division

Step-by-step explanation:

please mark me as brainlest

The values of a and b if the coordinate is rotated 90° clockwise is -1 and -1

The rotation is a transformation technique that changes the position of an object in an xy plane. If the coordinate (x, y) is rotated 90° clockwise, the resulting coordinate will be at (-y, x)

If the coordinate (-1, 1) is therefore rotated 90° clockwise about the origin, the resulting coordinate will be (-1, -1).

Comparing

a = -1 and b = -1

Hence the values of a and b if the coordinate is rotated 90° clockwise is -1 and -1

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Answer:

y = 2x^2 + 8x + 3

Step-by-step explanation:

Step 1: use the vertex form of the quadratic equation

y = a*(x - h)^2 + k

vertex = (-2, -5) = (h, k)

y = a*(x + 2)^2 - 5

Step 2: determine a using the given point

point = (0, 3)

y = a*(x + 2)^2 - 5

3 = a*(0+2)^2 - 5

3 + 5 = a*(2)^2

8 = a*4

a = 2

vertex equation is now y = 2*(x + 2)^2 - 5

Step 3: simplify vertex equation to standard quadratic equation

quadratic equation = Ax^2 + Bx + C

y = 2*(x + 2)^2 - 5

y = 2*(x^2 + 4x + 4) - 5

y = 2x^2 + 8x + 8 - 5

y = 2x^2 + 8x + 3

q varies inversely as x: qx = k, such k is constant

Given values:

To determine the constant of variation, substitute the first two given values of q and x to the equation of variation.

To determine the value of q, substitute the second given value of x together with the constant of variation.

Answer:

Wxndy~~

Answer:

firstly ,we need to put the set of  ages into categories

Example: (Category1 = age 19  ; category2 = age 20  ; ........ )

→ The frequency of a certain value (age) is equal to the number of times that specific age appears in the data set.

Step-by-step explanation:

Answer: The slope is 1/3

Step-by-step explanation:

m = y2-y1/x2-x1

m =9-7/4+2

m=2/6

m=1/3

Answer:

The slope is 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=9-7/4-(-2)

m=2/6

m=1/3

The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24

Analysis:

If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24

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Answer:

2.46

Step-by-step explanation:

3.28/4=0.82(for one candy)

0.82×3=2.46(for 3 candies)

Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. the total length of the trip is 190.08 miles.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip.

If Leah fell asleep after they had traveled 132 miles

So,

44% of 132

= 0.44  x 132

= 58.08

Add in the miles they already traveled

132 + 58.08

= 190.08

Thus, the total length of the trip is 190.08 miles.

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Answer:

[tex] \dfrac{1}{125x^3} [/tex]

Step-by-step explanation:

[tex] (5x)^{-3} = \dfrac{1}{(5x)^3} = \dfrac{1}{5^3x^3} = \dfrac{1}{125x^3} [/tex]

Answer:

ABCD=EF

Step-by-step explanation:

A. Z

B. <

C. S

D. >

E. =

F. 2

55? 35

The point that best represents the length of one side of the fence of the square portion of the garden area is: B. Point B.

Area of a square = s², where s is the side length of the square.

Area of the square portion of his yard = 200 square feet

Side length of one side of the fence = √200 = 14.1 feet.

From the number line given, point B best represents 14.1 feet. Therefore, the side length is best represented by: B. Point B.

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Answer:

8%+10%=180 180÷100=1.8% grapefruit is heavier than Apple

Answer:Flying potatox x plus y yes

Step-by-step explanation:

Answer:

the answer is 1/4 if the question is a fraction

Answer:

540° and x = 85°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

2

sum the interior angles and equate to 540°

x + 115° + 95° + 115° + 130° = 540°

x + 455° = 540° ( sum 455° from both sides )

x = 85°

The match each pair of rational numbers with their sum is:

[tex]\frac{2*(a-b)}{a^2b^2} = \frac{-2}{a^2b}+\frac{2}{ab^2}[/tex]

[tex]\frac{a-b^2}{a^2b^3} }=\frac{1}{ab^3} +\frac{-1}{a^2b}[/tex]

[tex]\frac{2ab-1}{4a^2b^2} }=\frac{1}{2ab} +\frac{-1}{4a^2b^2}[/tex]

[tex]\frac{2*(1-ab^2)}{a^2b^3} =\frac{2}{a^2b^3}+\frac{-2}{ab}[/tex]

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

When you factor an expression using the rule a factor out a common term, it is possible simplify an expression

Then, you should factor and simplify each given algebraic expression.

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Answer:

see the attachment photo!

The range, standard deviation, and variance say about gas prices in 2018 discussed below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

As the variance in 2018 is 0.0121.

A model with low variance means sampled data is close to where the model predicted it would be.

As the standard deviation in 2018 is 0.1098.

Low standard deviation means data are clustered around the mean

A small range means low variability in a distribution.

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Answer:

a

Step-by-step explanation:

The value of x is 1 , option B is the correct answer.

When two algebraic expressions are equated using an equal sign , the mathematical equation formed is called an Equation.

The equation is given by 3log₂(2x)=3

3log₂(2x)=3

log₂(2x) = 3/3

log₂(2x) = 1

The base of the logarithm is 2

it can also be written as

[tex]\rm 2^{log_{2}(2x)} = 2 ^1[/tex]

2x = 2

x = 1

Therefore the value of x is 1 , option B is the correct answer.

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Answer:

The answer is 1001101

Step-by-step explanation:

77 base 10 to base 2 is 1001101

Answer:

insufficient

Step-by-step explanation:

What is the question?

Answer:

Step-by-step explanation:

in the picture