Unit 4 Test, Part 2: Congruence and Constructions
(Answers that are commented just for points will be reported)

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Actually Welcome to the Concept of the Factors.

1.) x^2+4x+3= (x+1) (x+3)

2.) x^2-2x-99 = (x+3) (x-11)

Answer:

[tex]m\angle CAB=65^\circ[/tex]

Step-by-step explanation:

Angles and Lines

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

-2x + 230 = 180

Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

[tex]m\angle CAB=x+40=25+40=65[/tex]

[tex]\mathbf{m\angle CAB=65^\circ}[/tex]

Answer:

Step-by-step explanation:

Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

Answer:

-29.4

Step-by-step explanation:

(-2.1)(-1.4) - 29.4 - 2.94

2.94 - 29.4 - 2.94

          -29.4

Answer:

[tex]\huge\boxed{\sf -2}[/tex]

Step-by-step explanation:

[tex]\sf h(x) = -2x-10\\\\Put \ x = -4\\\\h(-4) = -2(-4) -10\\\\h(-4) = 8-10\\\\\boxed{\sf h(-4) = -2}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

Answer:

x=20.5

Step-by-step explanation:

Perimeter of rectangle = 2(L+B)

L- Length and B - Breadth

150 = 2( 2x+4 +30)

150÷2 = 2x + 34

75 = 2x + 34

2x = 75 -34

2x = 41

x = 20.5

Answer:

6

Step-by-step explanation:

move the six 2 digits to the left

Answer:

x=14

Step-by-step explanation:

Answer:

7 i believe, if not then sorry. bad calculations.

Step-by-step explanation:

Answer:

The answer should be A

Step-by-step explanation:

Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it

Answer:

A

Step-by-step explanation:

Trust me, i promise its correct

Answer:

the value of 25 to the power of 1/2 is 12.5

Answer:

5 (square root of 25)

Step-by-step explanation:

25 to the 1/2 power is the same as  square root of 25  

25  to the 1/3 power is the same as cube root of 25,...... etc

Answer:

Work shown below!

Step-by-step explanation:

2. [tex]g(x)=\frac{1}{2}x+5[/tex]

[tex]g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7[/tex]

[tex]g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0[/tex]

[tex]g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5[/tex]

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360  (or 5/18 × 37.7)

The arc is 10.5 m

Answer:

Step-by-step explanation:

(1,4)

Answer:

$150.50

Step-by-step explanation:

I = 450 × 0.05 × 7 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 450.00

at a rate of 5% per year

for 7 years is $ 157.50.

Hellooo :)

The answer is I = $ 157.50

Answer:

32% is 0.32

6% is 0.06

93% is 0.93

150% is 1.5

12.5% is 0.125

Hope this helps!

Answer:

d≤69

Step-by-step explanation:

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

Answer:

73=y

X=35

This is because the triangle is a total of 180 and the line has a value of 180

3.5 × 10 and the 10 has a exponent of negative 5

Answer:

its D

Step-by-step explanation:

D

Answer:

D. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Answer:

22.681

Step-by-step explanation:

  1

    4.061

+  18.620

  22.681

Hope this helps!! Have a wonderful day C:

Answer:

$31.63/hr

Step-by-step explanation:

Given parameters:

 Yearly salary  = $65788

  Number hours worked per week  = 40hrs

Unknown:

Hourly wage  = ?

Solution:

The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.

  There are 52 weeks in a year;

   Number of hours worked per year  = 52 x 40  = 2080hrs

Hourly wage per year = [tex]\frac{65788}{2080}[/tex]   = $31.63/hr

Answer:

1 2 3 4 5 6 7 8 9 10 11

Step-by-step explanation:

Answer:

Since I don't have the numbers to plot, I'll tell you where to begin

Step-by-step explanation:

When plotting temperatures, it's important to remember positives and negatives

It's always a good idea to start by marking the halfway point as zero

Then, if the numbers are  in the tens, make each increment an increasing value of ten/-ten in each direction.

If they're low, (in the ones digits) then just mark the numbers on the increments in the positive/negative directions

Hope this helps!

Step-by-step explanation:

10