Answer:
Option c: 61° is the correct answer
Step-by-step explanation:
By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.
Angle 3 and angle 5 are interior angles on same side of transversal.
When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°
So using this
m∠3+m∠5 = 180°
m∠3 + 119° = 180°
m∠3 = 180°-119°
m∠3 = 61°
Hence,
Option c: 61° is the correct answer
<h3>Answer:-</h3>
Slope:-
-4
y-intercept:-
(0,-3)
<h3>Solution:-</h3>
- The equation of this line is written in Slope-Intercept Form, which looks like so:-
- y=mx+b
- In this formula, m stands for the slope of the line, and b stands for the y-intercept.
- Please remember that the slope is the line's rise (the amount of units we move up, or "rise" divided by its run (the amount of units we move left or right, and the y-intercept is the point where the line intersects the y-axis. (0, b)
- Also, please notice that m is the coefficient of x, and b is the constant.
- Therefore, the slope of the line is equivalent to -4, and the y-intercept is (0, -3).
Hope it helps.
Do comment if you have any query.
Ans=
9p-7p=3a+1-(2a-3)
=2p=3a+11-2a+3
=2p=a+4
=p=(a+4)/2
Ans is (a+4)/2
-Jing
Answer:
236 in squared
Step-by-step explanation:
You can separate the shape into two rectangular prisms.
prism 1 - 9, 2 ,4
prism 2 - 4, 2, 8
Since the frosting is on the outside of the cake you have to find the surface area.
To find the surface area you use the equation:
2(wl + hl + hw)
Put in the values you know:
2(9 * 2 + 4 * 2 + 9 * 4)
multiply:
2(18 + 8 + 36)
Add:
2(62) = 124
Now you find the surface area of the second prism.
2(4 * 2 + 2 * 8 + 4 * 8)
Multiply:
2( 8 + 16 + 32)
Add:
2(56) = 112
Now add the two surface areas to get the surface area of the whole shape.
112 + 124 = 236
The answer is 236 in squared
Answer:
3 - 4x - 32
Step-by-step explanation:
(3x+8)(x-4)
=3 -12x + 8x -32
=3 - 4x - 32