∠A and ∠B are vertical angles. If m∠A=(7x-20)° and m∠B=(6x-1)°, find the measure of ∠A. (Just type answer as a number.)

In order for a relation to be a function, there cannot be duplicate domain values that have different range values. for example,

mylen [45]

True, because it makes the function fail the vertical line test

8 0

2 years ago

What is the five number summary for this data set?

MrRa [10]

Answer:

see explanation

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.

Given

3 8 14 19 22 29 33 37 43 49

↑ middle is between 22 and 29

median = $\frac{22+29}{2}$ = $\frac{51}{2}$ = 25.5

The upper quartile $Q_{3}$ is the middle value of the data to the right of the median.

29 33 37 43 49

↑

$Q_{3}$ = 37

The lower quartile $Q_{1}$ is the middle value of the data to the left of the median.

3 8 14 19 22

↑

$Q_{1}$ = 14

The min is the smallest value in the data set, that is 3

The max is the largest value in the data set, that is 49

The 5 number summary is

3, 14, 25.5, 37, 49

8 0

2 years ago

No links, find the length of X in inches

krek1111 [17]

Answer:

107 inches

Step-by-step explanation:

28+45+x=180

x=180-28+45

x=180-73

x=107

7 0

2 years ago

The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

$y=-(x\boxed{+3})^2+5$

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

$y=-(x+3)^2\boxed{+5}$

Hope this helps!

3 0

2 years ago

Write an indirect proof showing that the diagonals of a parallelogram intersect each other

____ [38]

Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261

Since, we assumed that the diagonals dont bisect each other,
OC≠OA
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261

∠AOD≅∠BOC as they are vertical angles,
∠OAD≅∠OCB they are alternate interior angles
AD≅BC, by definition of parallelogram
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.

4 0

2 years ago