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Vedmedyk [2.9K]
3 years ago
15

What is the value of x? Help me.

Mathematics
2 answers:
Sav [38]3 years ago
8 0

Answer:

x = 50

Step-by-step explanation:

The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.

2(x + 10) = 3x - 30

Distribute on the left side.

2x + 20 = 3x - 30

Subtract 2x from both sides.

20 = x - 30

Add 30 to both sides.

50 = x

x = 50

nikitadnepr [17]3 years ago
4 0

Answer:

x=50

Step-by-step explanation:

2x+20 = 3x-30

2x+50 = 3x

50 = x

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What is the slope-intercept equation of this line?
Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/x2-x1)

m = ( -4 -8)/(6 - 0)

    = -12/6

   = -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

7 0
2 years ago
Solve 11 2/5 = q - 4 2/7 + 2 1/7
RideAnS [48]
I turn the mixed numbers into decimals before doing anything else.
11 2/5----> 57/5----> 11.4
4 2/7----> 30/7----> 4.29
2 1/7----> 15/7----> 2.14

11.4=q-4.29+2.14
11.4=q-2.15
13.55= q

13.55 converted to a fraction is 13 11⁄20
q=13 11⁄20
6 0
3 years ago
A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
GarryVolchara [31]
<span>Cylinder Volume   =   </span><span>π <span>• r² • height
height = </span></span><span>Cylinder Volume / (PI * radius^2)
</span><span>height = 500 cubic inches / 3.14159 * 16
</span><span><span><span>height = 9.9471839432 </span> </span> </span>
<span>height = 9.95 (rounded)

</span>


4 0
3 years ago
Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find
antiseptic1488 [7]

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2    x0= (-2+4)/2=1

y0=(yA+yC)/2    y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2     1= (1+xD)/2   xD=1

y0= (yB+yD)/2      2= (0+yD)/2    yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

6 0
2 years ago
3x -4y= -20 -x +2y =10 whats the value of y
Anni [7]
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
4 0
2 years ago
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