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2 years ago

Give the appropriate theorem or postulate that can

Mathematics

1 answer:

Ratling [72]2 years ago

8 0

Answer:

Step-by-step explanation:

<ACB = <ECD

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

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Please resolve this problem for me! I've been having trouble with this for a while.

Bad White [126]

Answer:

a) 41

b) -31

c) 25/3

Step-by-step explanation:

The instructions explain what a function is pretty clearly.

Basically, whatever is in the parentheses next to the $f$ , you plug in to the expression that is the function.

ex: $f(x) = x + 4$

$f(5) = 5 + 4 = 9$

Okay, onto the problems:

a) $f(x) = 3x - 1$

First, plug in 14, since that is given:

$f(14) = 3(14) - 1$

and solve.

$f(14) = 42 - 1$

$f(14) = 41$

So, 41 is the answer to a.

b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.

$f(-10) = 3(-10) - 1$

$f(-10) = -30 - 1$

$f(-10) = -31$

-31 is the answer to b.

c) For this problem, you have to do a bit of algebra.

First, take the base function f(x):

$f(x) = 3x - 1$

Then, set f(x) = 24:

$24 = 3x - 1$

and solve by isolating x.

$25 = 3x$

$\dfrac{25}{3} = x$

$x = \dfrac{25}{3}$

25/3 is the answer to c.

8 0

2 years ago

WIll give branliest if answered correctly

SIZIF [17.4K]

Answer:

Alfonso didn't use a good estimation method

Step-by-step explanation:

5 0

3 years ago

Find the equation of the line perpendicular to x−5y=15 that passes through the point (−2,5).

defon

Answer:

Step-by-step explanation:

-5y = -x + 15

5y = x - 15

y = 1/5x - 3

perp. -5

y - 5 = -5(x + 2)

y - 5 = -5x - 10

y = -5x - 5

7 0

3 years ago

What is the relationship between 0.7 and 0.07

QveST [7]

Well there are a number of relationships, I'll name a few:

1) .7 <span>> .07 (.7 is Greater than .07)
2) .07 </span><span>< .7 (.07 is Less than .7)
3) .7 is ten times greater than .007

</span>

8 0

4 years ago

Read 2 more answers

Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in second

Hitman42 [59]

The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

$\rm h(t)= -16t^2+72t$

Making perfect square:

$\rm h(t)= -[(4t)^2-72t+9^2 -9^2]$

$\rm h(t)= -[(4t-9)^2 -81]$

$\rm h(t)= 81-(4t-9)^2$

The highest point will be when term (4t-9)² becomes zero

So the highest point = 81 feet, and it takes:

t = 9/4 seconds

Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

7 0

2 years ago