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3 years ago

Parallel lines e and f are cut by transversal b. What is the value of x? A.130 B.16 C.164 D.50

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:

A) 130

Step-by-step explanation:

(2x + 18) + y = 180 <--- Is True

(4x - 14) + y = 180 <--- Is True

(2x + 18) + y = y + (4x - 14)

(2x + 18) = (4x - 14)

2x + 18 = 4x - 14

-2x + 18 = -14

- 18 - 18

-2x = -32

x = 16

2(16) + 18 = 50

4(16) - 14 = 50

180 - 50 = 130

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Julia is using the distributive property to simplify 3(x+2). Find her mistake and correct it

dusya [7]

3x + 6
distribute the 3 to both of the places in the parentheses.

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3 years ago

C. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points) I Water: gallons 3. A rec

Dominik [7]

Answer:

<u>One Rectangular Pan</u>

Step-by-step explanation:

Part C cannot be answered since the dimensions of the pool are not given. Please check the question.

The cake pans may be compared by calculating the volume of each shape:

Rectangular pan: Volume = Length x Width x Height

Volume Rectangle = (13")*(9")*(2") = <u>234 in^3</u>

Round pan: Volume = $\pi r^{2} h$

Volume Round = (3.14)*(4")^2(2") = 100.5 in^3

Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter

One rectangular pan holds 234 in^3.

Go with the rectangular pan if you want more cake.

4 0

1 year ago

P(x)=(x-2)(x-3)(x+7) find the constant term

hram777 [196]

Short method: multiply constants
$= ( - 2) \times ( - 3) \times (7) \\ = 6 \times 7 \\ = 42$

Long mothod: expand it
$= ( {x}^{2} - 5x + 6)(x + 7) \\ = ... \\ = ... + 42$

Answer: 42

5 0

3 years ago

An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

3 years ago

Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3

goldfiish [28.3K]

Answer:

$= 6911.5 {cm}^{3} \\$

Step-by-step explanation:

$v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3}$

hope this helps you.

7 0

2 years ago