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3 years ago

Help and please explain

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

90 degrees because A is an acute angle so x equals 45 degrees and so I multiply that by 2

Step-by-step explanation:

GarryVolchara [31]3 years ago

8 0

So the right angle is equal to 90° and the rest is unknown.

using the triangle sim theorem, which states that all interior angles are equal to 180°.

so it would be x+2x+90°=180°.

then you would need to simply which is 3x+90°=180°

subtract 90° from both sides and get 3x=90°

and then divide both sides by 3 which is 30°

then you would need to find the angle of B which is 2x so you would need to substitute 30° for x which is 60°

the answer is 60°

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

Write a polynomial equation with integer coefficients that has the given roots x=1, x=-4

Gekata [30.6K]

(x -1)(x +4) = 0

x² +3x -4 = 0 . . . . . . probably the form you're looking for

7 0

3 years ago

Read 2 more answers

Which equation is correct regarding the measure of ∠MNP?

Evgen [1.6K]

Answer:

The measure of anle MNP is

m ∠ MNP = (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y: