Simplify each expression. Show all work from credit.
Plz help me

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

Answer:

72 and 108

Step-by-step explanation:

540/30= 18 *4 = 72

and

810/30= 27*4=108

Answer:

36$

Step-by-step explanation:

Answer:

the answer is C..................

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

Answer:

4:3

Step-by-step explanation:

because 32:24 simpified is 4:3

Answer:

16.5

Step-by-step explanation:

a^2 + b^2 = c^2

Answer:

55135 lbs (rounded to the nearest pound)

Step-by-step explanation:

​diameter of tank = 15 ft

Radius = 15/2 =7.5

volume of hemisphere = 2/3 ×π× 7.5³=883.5729

total weight of water = 62.4 × 883.57 = 55134.768

55134.768 rounded to the nearest pound is 55135 lb

♥ Hope this helped ♥

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

brainly.com/question/10703980

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Answer:54 cookies in total

Step-by-step explanation: 3x18=54

Answer: 54 cookies in all

Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.

=

Answer:

1) irrational

2) is A.

Step-by-step explanation:

you're welcome

The required solution is as follows,
(1) the given number is an irrational number. Option D is correct.
(2)  π is an irrational number. Option D is correct.

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
(1)

Given number,
0.101001000100001…
Since the given number has repeating decimals so, it is an irrational number.

(2)
π
Since π also an irrational number, because it value, is nonterminating and repeating.

Thus, the required solution is as follows,
(1) the given number is an irrational number. Option D is correct.
(2)  π is an irrational number. Option D is correct.

Learn more about Rational numbers here: https://brainly.com/question/17450097

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Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

Answer:

A) it's positive

B) 37/30 or 1 7/30

Step-by-step explanation:

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams

Answer:

okay here is the answer but no work shown

x= -16

Answer:

likely .

Step-by-step explanation:

Answer:

2 out of 6 chance

Step-by-step explanation:

Answer:

[tex] - \frac{1}{5} [/tex]

Step-by-step explanation:

a 8:10

= 8/10

= 4/5

b. 1 hr = 60 min

= 40: 60

= 40/60

= 2/3

d 1 dozen = 12 things

2 dozen = 24 things

= 24: 18

= 12/18

= 2/3

Answer:

EZ!!! 1e+100

Step-by-step explanation:

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

Answer:

2

Step-by-step explanation:

Answer:

the last one

Answer:

the answer is c

Step-by-step explanation: