Can someone help with this?

Answer:

See Below.

Step-by-step explanation:

Let the intersection point above E be K, and let the intersection point below E be J.

Since ABCD is a trapezoid:

[tex]\displaystyle AB\parallel DC[/tex]

Therefore:

[tex]\displaystyle \angle AJF\cong \angle DKF[/tex]

And:

[tex]\displaystyle \angle DFJ\cong \angle DFJ[/tex]

So, by AA-Similarity:

[tex]\displaystyle \Delta DFK\sim \Delta AFJ[/tex]

CPSTP (Corresponding Parts of Similar Triangles are Proportional):

[tex]\displaystyle \frac{KD}{JA}=\frac{FK}{FJ}[/tex]

Likewise, do the same to the other side. Since AB is parallel to DC:

[tex]\displaystyle \angle BJF\cong CKF\text{ and } \angle CFJ\cong \angle CFJ[/tex]

Hence:

[tex]\Delta CFK\sim \Delta BFJ[/tex]

By CPSTP:

[tex]\displaystyle \frac{KC}{JB}=\frac{FK}{FJ}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

Since AB is parallel to DC:

[tex]\displaystyle \angle CDB\cong \angle ABD[/tex]

By vertical angles:

[tex]\angle DEK\cong BEJ[/tex]

Hence, by AA-Similarity:

[tex]\Delta DKE\sim \Delta BJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KD}{JB}=\frac{KE}{JE}[/tex]

Likewise:

[tex]\angle DCE\cong \angle BAC[/tex]

And by vertical angles:

[tex]\displaystyle \angle CEK\cong \angle AEJ[/tex]

Hence:

[tex]\Delta CKE\sim \Delta AJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KC}{JA}=\frac{KE}{JE}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

Now, we have obtained that:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

And:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

In the second proportion, multiply both sides by JA:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=KC[/tex]

In the first equation, multiply both sides by JB:

[tex]\displaystyle \frac{KD\cdot JB}{JA}=KC[/tex]

Substitute:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=\frac{KD\cdot JB}{JA}[/tex]

Cross-multiply:

[tex]JB\cdot KD\cdot JB=JA \cdot KD\cdot JA[/tex]

Cancel out KD and simplify:

[tex]JB^2=JA^2[/tex]

Therefore:

[tex]JB=JA[/tex]

And using the first proportion again:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JA}\Rightarrow KD=KC[/tex]

Hence, EF bisects AB and DC, the bases of the trapezoid.

Answer:

He should have multiplied 15 tsp by 1 tbsp/3tsp.

Step-by-step explanation:

The tsp labels cancel each other out when one is the numerator and one is the denominator.

15tsp x 1 tbsp/3tsp = 15/3 = 5 tbsp

Answer:

The first two

Step-by-step explanation:

Do the parenthesis of the first and you will get the original equation.

Multiple the second with 4 and you will get the original equation too.

Answer:you do every number plus 24 and that’s how you get it

Step-by-step explanation:

Answer: 104 square inches

Step-by-step explanation:

The surface area of a prism is the sum of the surface are of all of it's faces.

We can turn that into this equation SA =  2(w x l) + 2(l x h) + 2(w x h) where w is width, l is length, h is height, and 2(w x l) is the top and the bottom surface areas, 2(l x h) is the left and right sides, and 2(w x h) is the front and back.

Substitute to get this:  SA =  2(6 x 2) + 2(2 x 5) + 2(6 x 5)

Simplify with multiplication to get this: SA = 24 + 20 + 60

Simplify with addition to get this: SA = 104

Add the unit label and you get 104 square inches.

Answer:

3z+9=1-z

collect like terms

3z+z=1-9

4z=-8

divide both sides by 4

z=-4

Answer:

z= -4

Step-by-step explanation:

Answer:

6 and 4

Step-by-step explanation:

Answer:

Choice 3: ∠5 and ∠6

Step-by-step explanation:

Supplementary means straight, and these two angles form a straight line when added together (angle measurements add up to 180)

Hope this helped :)

Answer:

x = 52

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles of a triangle

x+72 = 34+90

x +72 =124

Subtract 72 from each side

x = 124-72

x =52

Answer:

x = 52 degrees

Step-by-step explanation:

Let's first focus on the angle x + 72.  Immediately adjacent to x + 72 is angle RQS.  These two angles are "straight" in that they lie immediately adjacent to one another and add up to 180 degrees.  Then angle RQS can be expressed as

180 degrees - (x + 72 degrees), or 108 - x degrees.

The three interior angles of the triangle must add up to 180 degrees.  Hence

108 - x degrees + 34 degrees + 90 degrees = 180 degrees, and so:

108 - x + 34 = 90

This yields x = 52 degrees.

Answer:

the amount of money that you are charged

Step-by-step explanation:

the dependent variable is defined as a variable which changes depending on the other variables that are manipulated in a function so what that means is that the inputs are independent variables and the outputs are the dependent variables and in the case of this question the amount of texts sent are the independent variables and the amount charged is the dependent variable

Answer: We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are

Slope0.3848 ± 0.03956

Y-intercept0.6053 ± 0.6370

X-intercept-1.573

1/Slope2.598

Step-by-step explanation: Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.

Answer:

Step-by-step explanation:

Slope0.3848 ± 0.03956

Y-intercept0.6053 ± 0.6370

X-intercept-1.573

1/Slope2.598

Answer:

b = 42° and c = 180-42 = 138°

Answer:

b) 42°

c) 138°

Step-by-step explanation:

Get 42° by looking at its vertical partner(vertical angle). Get 138° by subtracting 42 from it. Subtract 42 from the sum of the entire angle, and get 180° degrees.

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

Answer:

3⋅120=360

Step-by-step explanation:

$120 multiplied by 3

Answer:

Its's the letter B 24cm²

Answer:

b) 24 is the area

Explanation:

Formula area of triangle: (bxh)/2

Area of triangle:

A= 12 x 4= 48 ÷ 2= 24

Answer:

x+6<12

Step-by-step explanation:

Since it is going left from 6, we know that x must be less than 6

(if u need me to explain more I can)

Answer:

It is the third option

going left from 6, we  can see  that x must be less than 6

Step-by-step explanation:

See image below:)

Answer:

60°

Step-by-step explanation:

Since this is an equilateral triangle all the angles and sides are the same.

180÷3=60°

All the angLes will be 60°, because in a triangle ball angles must add up to 180°.

Hope this answers your question.

Answer:

it doesn't

Step-by-step explanation:

hehe, try again

Answer:

You cross add

Step-by-step explanation:

so like you would do cosθ + cosθ = cosθ.  1 + sinθ + 1 + sinθ = 2 = 2/cosθ

                                     Have a good day/night!!!!!!!!!!!

                                        Sorry if I am wrong! :) :) :)

Answer:

A is the right answer

Step-by-step explanation:

Answer:

266

Step-by-step explanation:

Answer:

A = 1/2bh

= 1/2 x 10 x 24

= 120

Answer:

84

Step-by-step explanation:

180° - 61° - 37°

180° is the sum of the 3 angles in any plane triangle. the 37 is reasoned from the picture

Answer:

isosceles triangle

Step-by-step explanation:

Explanation:

Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.

Answer:

B. 1 & 3

Step-by-step explanation:

The vertical angles are pairs of opposite angles made by 2 intersecting lines. Here, 1 and 3 are the same length, and are on opposite sides.