Ask question

Ask question

All categories

2 years ago

6

ABC is a straight angle. Find m ABX and m CBX . (14x +70) (20x+8)

1 answer:

IRISSAK [1]2 years ago

4 0

Answer:

ABX is 112 degrees.

CBX is 68 degrees.

Step-by-step explanation:

Angles on a straight line always add up to 180 degrees.

Thus,

$(14x+70)+(20x+8)=180$

Remove brackets:

$14x+70+20x+8=180$

Add up the terms:

$34x+78=180$

Subtract 78 from both sides:

$34x+78-78=180-78$

$34x=102$

Divide both sides by 34:

$\frac{34x}{34}=\frac{102}{34}$

$x=3$

Angle ABX $= 14x+70=14(3)+70=42+70=112$

Angle CBX $=20x+8=20(3)+8=60+8=68$

You might be interested in

If T(n) = 2n-7, what is the fifth term?

charle [14.2K]

$T(5)=2\cdot5-7=3$

8 0

2 years ago

Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one

jolli1 [7]

Answer:

Television has been accused of helping people gain weight because it encourages a sedentary lifestyle. Television is like other entertaining activities that can get people to eat more, including reading, listening to the radio, and interacting with dinner mates.

8 0

2 years ago

Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet

mylen [45]

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is 17.6ft²

3 0

2 years ago

Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x

Blababa [14]

I am not sure but I think it represent the middle coordinate

4 0

1 year ago

goblinko [34]

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC = $\frac{b}{a-c}$

Step-by-step explanation:

According to midpoint formula

If we have points P $(x_{1} ,y_{1} )$ and Q $(x_{2} ,y_{2} )$

then the coordinate (x,y) of mid point of line PQ is given by

$x=\frac{x_{1} +x_{2} }{2}$ and $y=\frac{y_{1} +y_{2} }{2}$

now from the given diagram A is the mid point of line joining R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

$x=\frac{0+2a}{2}= a$ and $y=\frac{0+2b}{2} =b$

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

$x= \frac{2c+2c}{2} =2c$ and $y=\frac{2d+0}{2} =d$

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P $(x_{1} ,y_{1} )$ and Q $(x_{2} ,y_{2} )$

then the slope of PQ = $\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

hence slope of AD= $\frac{0-b }{c-a}$

= $\frac{-b}{c-a}$

= $\frac{-b}{-(a-c)}$

= $\frac{b}{a-c}$

and slope of BC = $\frac{d-(b+d)}{2c-(a+c)}$

= $\frac{d-b-d}{2c-a-c}$

= $\frac{-b}{c-a}$

= $\frac{b}{a-c}$

so we have

slope of AD and BC = $\frac{b}{a-c}$

7 0

2 years ago

Read 2 more answers