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2 years ago

Someone help!! 20 points to whoever can help me with this problem and give me the correct reasoning

Mathematics

2 answers:

Reptile [31]2 years ago

7 0

Answer:

Angle CAB= 80 Degrees

Step-by-step explanation:

The angle A can be found by taking the sum of angles in the 2 separate triangles and adding them together.

We know that a straight line is 180 degrees. The angle ADC is given to be 90 degrees, therefore angle BDA is also 90 degrees because 180-90=90 degree (congruent angle). (both the small triangles are right angle triangles) This gives us 2 angle measurements in each triangle. This means for both triangkes we can add the 2 angle measurements to find the sum of both andlges and subtract that number from 180 because 180 is the sum of all angles in a triangle.

For Triangle BDA we add angle B (40 degrees) and angle D (90 degrees)

Angle= 180- (40+90)

Angle= 180-130

Angle= 50 degrees

For triangle DAC we add angle D(90 degrees) and angle C(60 degrees)

Angle= 180- (90+60)

Angle = 180-150

Angle= 30 degrees

To find the angle measurement for angle CAB we add the answer from both the calculations as shown above (add 50 and 30)

Angle CAB= 50+30

Angle CAB= 80 degrees

Therefore angle CAB= 80 degrees

MrMuchimi2 years ago

4 0

Answer:

Step-by-step explanation:

180-(60+40)=180-60-40=180-100=80

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Elanso [62]

Answer:

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Step-by-step explanation:

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2 years ago

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Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh

gavmur [86]

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

$f(x) =\dfrac{x-4}{x^2+13x+36}$

Expand the denominator

$f(x) =\dfrac{x-4}{x^2+4x +9x+36}$

Factorize the denominator

$f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}$

Factor out x + 9

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4

Read more about functions at:

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1 year ago

Another question, what is 94939423^2 have fun!

Bas_tet [7]

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2 years ago

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Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

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2 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>