If LMN = XYZ, which congruences are true by CPCTC? check all that apply.

Answer:

300lb, 250lb, 200lb

Step-by-step explanation:

156kg=343.9lb

Answer:

0.48911

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score, = 27.21 Ib

μ is the population mean = 26.86 lb

σ is the population standard deviation. = 12.82 lb

z = 0.027301

Probability value from Z-Table:

P(x<27.21) = 0.51089

P(x>27.21) = 1 - P(x<27.21) = 0.48911

The proportion of weeks in which the waste disposal facility is overloaded is

0.48911

Answer:

14.) DC

community property

15.) 13+x

community property

12.) 6x-12

distributive property

Step-by-step explanation:

[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]

Multiply means by means and extremes by extremes to get;

[tex] \frac{1}{10} \: \: \: meters[/tex]

Let's divide

Answer:

I have no idea

Step-by-step explanation:

Answer:

[tex]y = 0.5x + ( - 3)[/tex]

or

[tex]y = 0.5x - 3[/tex]

Answer:

( 1, -2)

step-by-step explanation:

if reflected over y-axis: use the formula: (x,y) → (-x,y)

then if translated 5 units horizontally, there will be change in x axis:

Answer:

41.2

Step-by-step explanation:

By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.

This means that tan(27)=21/x.

x(tan 27)=21

x=21/(tan 27), which is about 41.2

Answer:

I'd rather use an explicit rule for bigger values of n

Step-by-step explanation:

Suppose we have a sequence like:

6,14,22,30,..

And we wanted to calculate the 200th term. The recursive rule is:

[tex]a_n=a_{n-1}+8[/tex]

Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.

The explicit rule is:

[tex]a_n=6+8(n-1)[/tex]

To find the term for n=200, just substitute into the rule:

[tex]a_{200}=6+8(200-1)=1598[/tex]

Thus, I'd rather use an explicit rule for bigger values of n

Answer:

lemon pie is 7.5 and blueberry is 4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is hard that I will say

Answer:

The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.

Answer:

Answer is in the picture bro.

Step-by-step explanation:

I'm not sure if this is how you want it to be done.

Answer:

See Below.

Step-by-step explanation:

Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.

Furthermore, all sides of the triangle measure 2a.

We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.

Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.

Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.

Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a is DC, b is AD, and c is AC.

Substitute in appropriate values:

[tex]a^2+(AD)^2=(2a)^2[/tex]

Solve for AD:

[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]

Sine is the ratio of the opposite to the hypotenuse:

[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Substitute:

[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]

Simplify. Hence, regardless of the value of a:

[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]

Answer:

There will be 25 baskets each container 4 rolls and 1 pumpkin

Step-by-step explanation:

Rolls = 100

Pumpkins = 25

To make every basket to be exactly the same number of rolls and pumpkins,

Find the highest common factor of 100 and 25

100 = 1, 2, 4, 5, 10, 25, 50, 100

25 = 1, 5, 25

The highest common factor of 100 and 25 is 25

Rolls = 100

= 100/25

= 4

Pumpkins = 25

= 25/25

= 1

Therefore,

There will be 25 baskets each container 4 rolls and 1 pumpkin

Answer:

Width = 3.75 feet

Length = 9.75 feet

Step-by-step explanation:

Given:

Length of fencing = 27 feet

Find:

Dimensions of the garden

Computation:

Assume

Width = x

So,

Length = x + 6

2(L+B) = Perimeter

2(x + x + 6) = 27

2(2x + 6) = 27

4x + 12 = 27

4x = 15

x = 3.75

Width = 3.75 feet

Length = 3.75 + 6 = 9.75 feet

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x - 9

26x - 5 - 9

26x - 14

Answer:

26x - 14

Step-by-step explanation:

3x - 5 + 23x -9

3x +23x - 9 - 5

26x - 14

Answer:

a=-55

Step-by-step explanation:

-3=2+a/11

-3=1/11 a+2 simplify

flip

1/11 a+2=−3

1/11 a+2−2=−3−2  subtract 2

1/11 a=−5

11*(1/11 a)=(11)*(−5) multpily both sides by 11

a=-55

Answer:

74g:148g

Step-by-step explanation:

If the yogurt portion is 3, then your answer is 148g.

You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.

Answer:

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

70% of 120= 84

Answer:

LM = 22

Step-by-step explanation:

Tangents to a circle from an external point to the circle are congruent , that is

ML = JL , substitute values

7x - 6 = 3x + 10 ( subtract 3x from both sides )

4x - 6 = 10 ( add 6 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Then

LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22

Answer:

He has four outfits if he switches shirts once.