Josephine lives in a

Please help me asap!

Firdavs [7]

Answer:

Option d) 115 degrees

Step-by-step explanation:

We are given a trapezium ABDE in the picture. AB and ED are the parallel sides.

F is the mid point of AE and C the midpoint of BD. FC is joined.

We are also given that angle of AED = 65 degrees.

To find the measure of angle BAE.

Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.

Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.

i.e. 65 +angle BAE=180

Hence angle BAE = 115 degrees.

Option d is the answer.

7 0

3 years ago

Draw out a two column proof for each problem below. Complete all problems on one page and upload ONE photo of the entire assignm

Hunter-Best [27]

Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.

Therefore, the required proofs for each question are shown below:

Problem 1:

Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.

Thus,

STATEMENT REASON

1. <NMQ ≅ <NPQ Any point on a perpendicular bisector

makes equal measure of angle with the

two ends of the line segment.

2. NQ ⊥ MP Definition of a line.

3. MQ ≅ PQ Equal segments of a bisected line.

4. MN ≅ PN Any point on a perpendicular bisector

is at the same distance to the

two ends of the line segment.

5. <MNQ ≅ <PNQ Equal measure of the bisected angle.

Problem 2:

A line segment is the shortest distance between two points.

STATEMENTS REASONS

1. m<PSR ≅ m<PSQ A perpendicular bisector is always at a right

angle to the bisected line segment.

2. m<RPS ≅ m<QPS Equal measure of the bisected angle.

3. RS ≅ QS Property of a bisected line segment.

4. PR ≅ PQ Any point on a perpendicular bisector

is at the same distance to the two ends of

the line segment.

For more clarifications on the perpendicular bisector of a line segment, visit: brainly.com/question/12475568

#SPJ1

3 0

2 years ago

What are the soltions to the innequality -7x+14 is grater than -3x-6

hichkok12 [17]

-7x+14>-3x-6

Add 3x to both sides

-7x+14+3x>-3x-6+3x

-4x+14>-6

Subtract 14 from both sides

-4x+14-14>-6-14

-4x>-20

Divide both sides by -4

-4x/4>-20/-4

x<5

I hope that's help , please let me know !

7 0

3 years ago

Find the missing measurement of AC

IgorLugansk [536]

Answer:

AC = 78

Step-by-step explanation:

Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)

We are given then one side is 11x-32 and another side is 5x+28

These two sides must be equal so we can set them equal to each other and solve for x

11x - 32 = 5x + 28

6x - 32 = 28

6x = 60

x = 10

If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)

11(10)-32 = 110 - 32 = 78

AB = BC = AC = 78

AC = 78

8 0

3 years ago

If 15 percent of the sixth graders have blonde hair, and there are 120 sixth graders, how many of them have blonde hair?

Vlada [557]

15/100 = 0.15 x 120 = 18

8 0

4 years ago