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MakcuM [25]
3 years ago
13

Help me solve for x.

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

1. angle MNL = angle NLK (alternate angles are equal)

2. angle LMN + angle MNL + angle MLN = 180 ( Sum of angles in a triangle is 180)

3. (15x + 3) + 36 + 36 = 180 [now you can solve it]

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Which graph represents a line with a slope of -2/3
sertanlavr [38]

Answer:

y=-\frac{2}{3} x-2

Step-by-step explanation:

the general equation for a line is:

y=mx+b

where m is the slope of the line, and b is the y-intercept.

Since we need a slope of -2/3:

m=-\frac{2}{3},

So far we have that the line must have the equation:

y=-\frac{2}{3} x+b

the graph of a line with a negative slope is one that "falls" from left to right in the plane. And the number \frac{2}{3} means that it falls at a ratio of 2 units in the y-axis for every 3 in the x-axis.

we are told that the y-intercept is that of the line:

y=\frac{2}{3} x-2 --> here the y-intercept is -2.

Thus the equation of the line we are looking for is:

y=-\frac{2}{3} x-2

which means that this line crosses the y-axis at -2, and the graph is the one in the attached image.

6 0
3 years ago
Two complementary angles have measures in the ration 1:2. what is the measure of the smaller angle?
jeyben [28]
Complementary angles add up to 90 degrees. So say that the two angles you have are x and y. If the angles are in a 1:2 ratio, you are basically splitting them up into 3 groups. So splitting the 90 degrees into 3 groups gets 30 degrees into each group. You only care about the smaller angle, which makes up one group, so the smaller angle is 30 degrees.
5 0
3 years ago
11 times as many brushes. If they have 60 brushes altogether?
lesantik [10]
You would do 60 times 11. 60 times 11 equals 660 that is the answer
3 0
4 years ago
Darko found the distance between points A(3,-4) and B(-1,3) his work is shown below
fiasKO [112]

We know that in two dimensional co-ordinate geometry, the distance,d, between any two points (x_1,y_1) and (x_2,y_2) is given by the formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We will use the above formula that Darko must have used to find the distance between the two points A(3,-4) and B(-1,3). In this case: (x_1,y_1)=(3,-4) and (x_2,y_2)=(-1,3).

Thus, the distance,d=\sqrt{(-1-3)^2+(3-(-4))^2}=\sqrt{(-4)^2+(7)^2}=\sqrt{16+49}=\sqrt{65}

Therefore, the distance between the given points A(3,-4) and B(-1,3) is: \sqrt{65} or 8.06 (approx).

5 0
4 years ago
Ellie is having a Birthday party and has invited 11 friends. She wants to order pizza for the party. Each pizza is cut into eigh
erik [133]

Answer:

Ellie will need to have 13 slices.

Step-by-step explanation:

3 0
3 years ago
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