If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x.

A. 10 Degrees

B. 25/2 Degrees

C. 40 Degrees

D. 160 Degrees

Answer:

y= 2x+1.10

y=x+3.05

Step-by-step explanation:

Answer:

your answer will be Option C.256

Step-by-step explanation:

hope it helps

Answer:

its D

Step-by-step explanation:

The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Omar wants to determine the  value of

[tex] \cos\dfrac{(-2\pi)}{3} [/tex]

As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,

[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]

[tex]=-120[/tex]

As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).

Now the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2.

Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.

Now the cos theta is the ratio of the adjacent side and hypotenuse thus,

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Negative sign is used for the third quadrant where x axis is negative.

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Learn more about the trigonometry here;

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Answer:

Q I  & Q III

Step-by-step explanation:

See the picture I have attached. The Quadrant numbers are in bold Roman numerals.

Only in quadrants I and III are x and Y both of the same sign.

If the point (a,b)  is on an axis, one of the coordinates must be zero, but you were told that neither a nor b is zero, so the axes can be counted out as possible answers.

Answer:

Null Hypothesis: p = 0.65.

Step-by-step explanation:

The null hypothesis is the expected population population, from an assumption deriving for example, from a previous experiment.

According to a researcher who was quoted in a New York Times article in March, 2011, 65% of U.S. community college students must take at least one remedial course in English

This means that the expected value of the population proportion is [tex]p = 0.65[/tex], which is the null hypothesis.

Null Hypothesis: p = 0.65.

So everything you have now is right so far:

[tex]\cos(24) = \frac{z}{118}[/tex]

Multiply 118 to the left side to isolate z

[tex]118\cdot\cos(24) = z[/tex]

z = 50.05

Hope this helps

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48

Answer:

2.88 / 6 = 0.48

Explanation:

Answer:

$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

Step-by-step explanation:

Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:

18,000 x 0.13 + 0 x 0.03 = 2340

16,000 x 0.13 + 2,000 x 0.03 = 2140

15,000 x 0.13 + 3,000 x 0.03 = 2040

Thus, $ 15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

9514 1404 393

Answer:

  C

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\displaystyle\frac{7}{-4-\sqrt{x}}=\frac{7(-4+\sqrt{x})}{(-4-\sqrt{x})(-4+\sqrt{x})}=\frac{-28+7\sqrt{x}}{16-x}=\boxed{\frac{7\sqrt{x}-28}{16-x}}[/tex]

Answer:

I can't understand your equation. Please rewrite it.

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line is undefined, and can't be found. This is because the denominator of the rise over run fraction is always 0.

Answer (assuming it can be in slope-intercept form):

[tex]y = -2x +10[/tex]    

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  [tex]y = mx + b[/tex]. Isolate y:

[tex]2x + y = 3\\y = -2x + 3[/tex]

The number in place of [tex]m[/tex], or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. In order to write an equation of a line using that formula, we need to substitute values for [tex]m[/tex] and [tex]b[/tex]. We know [tex]m[/tex] is the slope, so we already know what that equals. Now, we just need to find [tex]b[/tex].

To do that, substitute -2 for [tex]m[/tex] in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate [tex]b[/tex] and find its values:  

[tex]y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b[/tex]

So, [tex]b[/tex] = 10.

3) Substitute values for [tex]b[/tex] and [tex]m[/tex] into the slope-intercept formula to write the slope-intercept form of the line:

[tex]y = -2x +10[/tex]

Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10

Lines which does not intersect each other at any point is said to be Parallel.

Here given equation of line is 2x+y=3

first we will write this equation in y=mx+c form

So y=3-2x

y= -2x+3

We know that slope of parallel lines is same

So equation of parallel line will be

y=-2x+a

Now we know that line is passing through (2,6)

So

[tex]6=-2(2)+a\\\\6+4=a\\\\a=10[/tex]

Hence equation of parallel line is y=-2x+10

or we can write it as y+2x=10

Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10

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Answer: I helped you now I helped me

Step-by-step explanation:

Would you shoutout me if I poured shamrock shake on my headYou

Answer:

its C aka none of the above

Step-by-step explanation:

Have a good day:))

Answer:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

Step-by-step explanation:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

The line segment AB is not a tangent to C since it is not perpendicular to BC.

The tangent is perpendicular to the radius of the circle joined from the center to the point at which the tangent touches the circle.

The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the sides is equal to the square of the hypotenuse.

z² = x² + y²

The line segment AB would be a tangent if the triangle ABC is a right-angled triangle. We can use the Pythagorean theorem.

7² = 3² + 6²

49 = 9 +36

49 = 45

This is incorrect.

49 ≠ 45

This means that the triangle is not a right-angled triangle. This in turn means that AB is not a tangent to C.

We have determined that AB is not a tangent to C as it is not perpendicular to BC.

Learn more about tangents here-https://brainly.com/question/16507124

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Answer:

B

Step-by-step explanation:

Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm

Hope this helps!

Answer:

105

Step-by-step explanation:

Answer:

I think 105 and it is this because it is correct try the answer. ✅

Answer:

The principal for the account is $375.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).

This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]

We want to find P.

[tex]E = P*I*t[/tex]

[tex]12 = P*0.032*1[/tex]

[tex]P = \frac{12}{0.032}[/tex]

[tex]P = 375[/tex]

The principal for the account is $375.

Answer:

Step-by-step explanation:

Vertex: ( -2, -25)

Axis of symmetry: -2

Answer:

equivalent of √6 . ✓3 is option a. 3√2

√6×3 = √18 = √9. √2 = 3√2

Adding K shifts the graph up that many units.

The vertex of f(x) is at y = -3

The vertex of g(x) is at y = 1

This as a 4 unit shift upwards.

K = 4

Answer:

skewed left

Step-by-step explanation:

Answer:

9-3m

Step-by-step explanation:

m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.

Answer:

0.0392 = 3.92% probability that the test result is positive.

Step-by-step explanation:

Probability of a positive test:

95% of 1%(person has the disease)

100 - 97 = 3% of 100 - 1 = 99%(person does not have the disease).

What is the probability that the test result is positive?

[tex]p = 0.95*0.01 + 0.03*0.99 = 0.0392[/tex]

0.0392 = 3.92% probability that the test result is positive.

Answer:

1.13

Step-by-step explanation:

Edge 2021 hope this helps