All categories

3 years ago

What is the value of z? No links please!!

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

9514 1404 393

Answer:

z = 14.4

Step-by-step explanation:

The angle bisector divides the sides proportionally.

z/12 = 6/5 . . . . . . . . . write a proportion*

z = 12(6/5) = 72/5 . . . . . multiply by 12

z = 14.4

_____

* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.

You might be interested in

What is the answer for this question I need help

Rufina [12.5K]

Answer: Angle 1= 32 degrees

Angle 2=90 degrees

Angle 3=58 degrees

Angle 4=32 degrees

6 0

2 years ago

There were 26 people at Charlotte and Oliver's birthday party. The total cost of the party was $1,429.74. How much did each pers

Nutka1998 [239]

Answer:

$54.99/person

Step-by-step explanation:

Divide '26 persons' into the total cost $1,429.74: we get $54.99/person.

3 0

3 years ago

Solve for x: 2x^2+4x-16+=0

ella [17]

$2x^2+4x-16=0|:2\\
x^2+2x-8=0\\
\Delta=36\Rightarrow\sqrt{\Delta}=6\\
x_1=\frac{-b+\sqrt{\Delta}}{2a}\ \vee\ x_=\frac{-b-\sqrt{\Delta}}{2a}\\
x_1=2\ \vee\ x_2=-4$

8 0

3 years ago

Read 2 more answers

A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how hig

joja [24]

String is the hypotenuse
angle is 58 degrees
sine (58) = height / 50
height = 50 * .84805
height = 42.4025

4 0

3 years ago

Which of the following would not be the result of a substitution in the following system? 2x + y = 7 y - x = 1

telo118 [61]

Answer: Option C.

Step-by-step explanation:

A) The result of the substitution shown in Option A is obtained by solving for y from the first equation and substituting into the second equation:

$2x + y = 7\\y=7-2x$

$y - x = 1\\7-2x-x=1$

Therefore, this is a result of a substitution in the given system.

B) The result of the substitution shown in Option B is obtained by solving for y from the second equation and substituting into the first equation:

$y - x = 1$

$y=x+1$

$2x + y = 7\\2x + x + 1 = 7$

Therefore, this is a result of a substitution in the given system.

C) The result of the substitution shown in Option C is not a result of a substitution in the given system, because if you solve for x from the second equation and substitute into the first one, you get:

$y-x=1\\(-1)(-x)=(-y+1)(-1)\\x=y-1\\\\2(y - 1) + y = 7$

4 0

4 years ago