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Sunny_sXe [5.5K]
2 years ago
12

Find the value of x. Then find the measure of each labeled angle

Mathematics
1 answer:
Artyom0805 [142]2 years ago
7 0

Step-by-step explanation:

Question 10 :

3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)

simplify and get x, thus x = 18

to find 3x + 6 or 4x - 12(which is both the same),

3(18) + 6 = 60° , 4(18) - 12 = 60°

Question 11:

2x + 24 + x = 180 ( reason: interior angles due to parallel lines)

simplify again to get x, you will get x = 52

then find the individual by subbing in the value of x into the equation.

so 2x + 24 = 2(52)+24 = 128° and x = 52°

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find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1
Mila [183]
Check the picture below, is a negative angle, thus, is going "clockwise"

\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies  tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1}
\\\\\\
-1\cdot  tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y
\\\\\\
-1\cdot \cfrac{-1}{-1}=y\implies -1

4 0
3 years ago
Hello help if u dont know dont even try to comment.​
aniked [119]

Answer:

distance = 8.35 inch

Step-by-step explanation:

here's your solution

=> scale is , 1 inch = 20 feet

=> distance between room in feet = 167 feet

=> so, distance in inch = 167/20

=> distance = 8.35 inch

hope it helps

6 0
3 years ago
When given a quadratic equation, how do I graph it, and find the vertex?
NemiM [27]
So let’s say the equation is x^2 (x squared) -4x + 8 = 0. So you have to eventually graph a palabara. So to get the vertex, you have to find the line of symmetry (this plays a big part). So the formula for the line of symmetry is x= -b/2a. So A is this equation is 1. B is -4. C is 8. So you would plug these numbers in and you get 2. So (2,0) is your like of symmetry. Now you have to plug 2 back in for x. So when you do that you get 4 so the vertex is (2,4). So the vertex is (2, 4) and basically what the vertex is is it is the highest or lowest point of a palabara. So you can tel if it opens up or down by looking is A is negative or positive. If A is negative the it opens down. If it is positive then it opens up. So now you just put points in. Create a t chart. Like x/y. So when X is 1 for example, y is 5. So you graph (1, 5) and you graph the point that is the same distance from the line of symmetry. You do this until you have 5 points. I hope this helps. It’s hard to teach this over text.
4 0
3 years ago
prove that the quadrilateral whose vertices are the points A(-1,1), B(-3,4), C(1,5) and D(3,2) is a parallelogram.
Vsevolod [243]

Answer:

Since \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}, then the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}. If we know that A(x,y) =(-1, 1), B(x,y) =(-3,4), C(x,y) = (1,5) and D(x,y) = (3,2), then the measure of each vector is, respectively:

\overrightarrow{AB} = (-3,4)-(-1,1)

\overrightarrow{AB} = (-2, 3)

\overrightarrow{DC} = (1,5)-(3,2)

\overrightarrow{DC} = ( -2,3)

\overrightarrow{AD} = (3,2)-(-1,1)

\overrightarrow{AD} = (4, 1)

\overrightarrow{BC} = (1,5)-(-3,4)

\overrightarrow{BC} = (4, 1)

Since \overrightarrow{AB} = \overrightarrow{DC} and \overrightarrow{AD} = \overrightarrow{BC}, then the quadrilateral ABCD is a parallelogram.

7 0
3 years ago
HELP ASAP I NEED IT BADDDD !!
murzikaleks [220]

Answer:

The correct complex numbers would be, -2 - 4i and 2 + 2i

(−2 − 4i) − (2 + 2i) = -4 - 6i

Step-by-step explanation:

(−2 − 4i) − (2 + 2i)

Subtract 2 + 2i from −2 − 4i by subtracting corresponding real and imaginary parts.

−2 − 2 + (−4 − 2)i

Subtract 2 from −2. Subtract 2 from −4.

-4 - 6i

So, the correct complex numbers would be, -2 - 4i and 2 + 2i

3 0
2 years ago
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