An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 4 cm long. A second side of the triangle is 5.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle.

Answers

Answer 1
Answer: the answer is 8.3 cm, 5.8 cm

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Trent is paying child support for his two children. Which individual will run his credit report to determine how much child support he must pay?A. Creditor
B. Government representative
C. Employer
D. Landlord

Answers

the answer on the credit scores and reports quiz is “government representative”

I think it may be A. D and C don't sound right.

Find the product.

(7q - 5)(7q + 5)

Answers

(7q−5)(7q+5) =(7q+−5)(7q+5) =(7q)(7q)+(7q)(5)+(−5)(7q)+(−5)(5) =49q2+35q−35q−25 =49q2−25

There are 17 red and blue pens, among which r are red. How many are blue? Denote blue pens as b.

Answers

Answer:B=17-R

Step-by-step explanation:

I am not sure how to simplify this equation further.  We know that B+R= 17 (pens) ---- so---  17-R=B

If ABCD is a rectangle, calculate x as a function of α

Answers

Answer:

x = 90 - 2α

Step-by-step explanation:

Solution:-

- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".

                       < BAD > + < ADB > + < ABD > = 180°

                       < ABD > = 180 - 90° - α

                        < ABD > = 90° - α

- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".

- We name the foot of the perpendicular bisector as " F ":  " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.

                    < ABD > = < BAE >  = 90° - α   ... ( Isosceles triangle " BEA " )

Where, sides ( BE = AE ).

- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:

                     < ABF> + < BFA > + < BAF > = 180°

                     < ABF > = 180 - (90° - α) - 90°

                    < ABF > = α  

Where,       < BAF > = < BAE >

- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE >  = x.

                        < ABD > = < ABE > = < ABF > + x

                         90° - α = α + x

                        x = 90 - 2α   ... Answer

Answer:

Step-by-step explanation:

The length of this triangle is 10 squares

and the width is 4 squares

The diagonals divide the rectangle into four triangles

These traingles are isoceles

Each two triangles facing each others are identical

<B = 90 degree

B = alpha + Beta

Let Beta be the angle next alpha

The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:

Beta = 2x

Then B = alpha + 2x

90 = alpha +2x

90-alpha = 2x

x = (90-alpha)/2

The test scores for a group of students are shown. 87, 72, 98, 84, 72, 65, 72, 70, 58, 91, 81, 84


What is the mode of the scores?

A.
80

B.
77.8

C.
76.5

D.
72

Answers


the mode is what occurs the most. 87 occurs once, 72 occurs 3 times, 98 occurs once,84 occurs twice,  65 occurs once, 70 occurs once, 58 occurs once , 91 occurs once and 84 occurs once.  72    occurs 3 times, which is the most, so 72  is the mode.

What is 1 multiplied by 1

Answers

one times one equals one anything times one is the same

1 because you can only  multyplied 1 by 1