Please help me with number 3 and 4

An equal

Helga [31]

Answer:

the correct answer is 19

Step-by-step explanation:

I just took the quiz

5 0

3 years ago

Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago

Give one verbal expression (VE) and its equivalent algebraic expression (AE).

emmasim [6.3K]

Answer:

A few examples:

VE: Three more than two times the temperature.

AE: 2x+3

VE: The money I have decreased by two thirds of the money you have.

AE: x - (2/3)y

VE: The number of friends I have increased by four times the amount of friends you have.

AE: x + 4y

Let me know if this helps!

7 0

3 years ago

If BD bisects ABC, m DBC =79 and ABC = (9x-4) find the value of x

zimovet [89]

Answer:

x=18

Step-by-step explanation:

set up the equation:

DBC+DBC=ABC

79+79=(9x-4)

Simplify both sides of the equation.

79+79=9x−4

79+79=9x+−4

(79+79)=9x−4(Combine Like Terms)

158=9x−4

Flip the equation.

9x−4=158

Add 4 to both sides.

9x−4+4=158+4

9x=162

Divide both sides by 9.

9x /9 = 162 /9

x=18

3 0

3 years ago

What is the last operation to be performed when finding the value of this expression?

MArishka [77]

To find out the last operation, we must solve the entire problem.

We are given:

$\frac{5+(-8)}{-3+(-9)(-6)}$

Let's simplify the signs so they don't clutter our equation.

$\frac{5-8}{-3+(-9)(-6)}$

We always need to be sure to use PEMDAS. Since there is no expression to solve in parenthesis and no exponents are present, we will move on to multiplication. We can multiply -9 and -6 in the denominator. When we do that, we get:

$\frac{5-8}{-3+54}$

Next, all you need to do is combine like terms in the numerator and the denominator.

$\frac{-3}{51}$

Simplify.

$-\frac{1}{17}$

To answer the question, the last operation to be performed when finding the value would be division.

4 0

3 years ago