Answer:
Option A
Step-by-step explanation:
When any triangle is dilated from the pre-image, its sides will never be congruent to the pre-image. However, its angles will be congruent and the triangles will be similar.
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.
First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:
y-y=m(x-x)
The first y is 8 and the second one is 2
The first x is 5 and the second one is 9
Plug it in:
8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2
*NOTE: another way to find m is by calculating it (y-y)/(x-x)
Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b
y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)
8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.
Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.
m=-3/2
b=31/2
We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)
SO OUR EQUATION IS=
y=(-3/2)x+31/2
Hope you understand this, feel free to ask me anything!
Answer:
Jamie is correct
Step-by-step explanation:
Jamie is correct.
Example: isosceles triangle ABC AB=AC
∠B = ∠C ∠A + ∠B + ∠C = 180°
if ∠A = x ∠B = ∠C = 1/2 * ( 180° - x)
if ∠B or ∠C = x ∠A = 180° - 2x
Volume is a measure if the amount of space occupied by that object, and every 3D shapes have volume. To find volume, you need three dimensions which are length, width, and height :D
Answer: Hi!
To find the answer for question 24, we would first find the square root of 20 and 5. The square root of 20 is about 4.47 (I used a calculator for convenience) and the square root of 5 is about 2.24. Now we need to add these:
4.47 + 2.24 = 6.71
Now we divide 30 by this:
30/6.71 = 4.47
Now, we'll evaluate the answer choices.
a) is equal to 1.49
b) is equal to 13.4
c) is equal to 4.47
d) is equal to 26.88
The answer choice that is correct is c, because it is what we got for the problem that we were supposed to solve in the beginning.
Hope this helps!
