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Beginning in 2011, Yemen was drawn into a civil war because of:

Answer:

its 9

Step-by-step explanation:

6 ÷  2 (1+2)

3x3=9

Statement B could be used in step 2 when proving x = 30. ORP and ORN are linear pairs. Option B is correct.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The complete question is;

Given: mORP = 80°

mORN = (3x + 10)°

Prove: x = 30

Which statement could be used in step 2 when proving x = 30?

A. ORP and ORN are a linear pair

B. ORP and ORN are vertical angles

C. 80 = 3x +10

D. x = 30

A linear pair is a pair of neighboring angles created by the intersection of two lines. A linear pair's two angles are always complimentary, which implies their measurements sum to 180°.

It is obtained that ORP and ORN are a linear pair;

∠ORP+ ∠ORN = 180°

\(\rm 80^0+ (3x + 10)^0=180^0\\\\ 3x=180^0-90^0\\\\ x=\frac{90^0}{3}\\\\ x=30^0\)

The value of x will be 30°. Statement B could be used in step 2 when proving x = 30. ORP and ORN are linear pairs.

Hence, Option B is correct.

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The translation of this sentence into an equation is m × 80 = 104.

An equal sign separates two algebraic expressions in an equation. Therefore, we can interpret a statement that says two sentences are equal into an equation. We search for clue words with equivalent meanings. The equal sign can be used with the following words.

is equal to; is the same as; is, etc.

To assist you concentrate on each phrase independently, you might find it helpful to draw a box around the corresponding word(s) in the statement. Once each sentence has been converted into an expression, write it on each side of the equal sign.

Let us suppose Mabel's savings as m.

Then the product of Mabel's savings and 8 is 104 is represented as:

m × 80 = 104

Hence, the translation of this sentence into an equation is m × 80 = 104.

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The solution to the proportion x/12 = 50/6x is x = ±10.

To solve the proportion x/12 = 50/6x, we can cross multiply.
1)Cross multiply the numerator of the first fraction with the denominator of the second fraction, and vice versa.
x * 6x = 12 * 50

2)Simplify both sides of the equation.
6x^2 = 600

3)Divide both sides of the equation by 6 to isolate x^2.
x^2 = 100

4) Take the square root of both sides of the equation to solve for x.
x = ±10
Therefore, the solution to the proportion x/12 = 50/6x is x = ±10.

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Answer:

11

Step-by-step explanation:

2x - 6 = 16 (Based on similarity)

2x = 16 + 6

2x = 22

x = 22/2

x = 11

Answer:it’s G

Step-by-step explanation:

The first quartile of the given data set would be 15 which is The middle of the numbers from the beginning up.

When data points are organized in ascending order, the first quartile, or lower quartile, (Q1), is the value at which 25% of them are located.

The given data set is:

11,12,15,16,17,19,22,24,29,33,38

Since the number of elements in the data set is 11. As a result, the data are divided into two equal parts by the sixth term. The median of the data is 19.

The middle of the numbers from the beginning up to and including the first middle value: 11,12,15,16,17.

The middle value is 15.

Therefore, the first quartile of this data set would be 15.

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Ms. Wamboldt ruler will not fit in the envelope .

In the question ,

it is given that

Ms. Wamboldt ruler length is = 30cm

the length of the envelope is = 26 cm

the width of the envelope is = 14 cm

to make the ruler fit into the envelope , we need to find the diagonal of the envelope first ,

since the side of the envelope form a right triangle ,

so by using Pythagoras theorem , we get

length² + width² = diagonal²

26² + 14² = diagonal²

diagonal² = 676 + 196

diagonal² = 872

diagonal = √872 = 29.52

since 29.52 < 30 , the ruler will not fit in the envelope .

Therefore , Ms. Wamboldt ruler will not fit in the envelope .

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Answer:

1- 25

2- im sorry its a hard one lol

3-confusion

Step-by-step explanation:

they count by odd numbers but skips on so instead of 1 3 5 its 1 5

Answer:

1.

A) common difference is 4

B) \(a_{7}\)= 4+ (7-1)4

C) 28

Step-by-step explanation:

The ordered pair that is a solution for the inequality 2x + 3y < 12 and

3x - 2y ≥ 18 is

The solution is sought by substituting to each of the pair to the equation and comparing the answers

for  D. (4,-9)

2 * 4 + 3 * -9 < 12

-19 < 12   correct

3x - 2y ≥ 18

3 * 4 - 2 * -9 ≥ 18

30  ≥ 18 correct

This proves that option D is the correct option

trying for A. (5,0)

2 * 5 + 3 * 5 < 12

25 < 12   incorrect

3x - 2y ≥ 18

3 * 5 - 2 * 0 ≥ 18

15  ≥ 18 incorrect

trying for B. (3,-1)

2 * 3 + 3 * -1 < 12

3 < 12   correct

3x - 2y ≥ 18

3 * 3 - 2 * -1 ≥ 18

11  ≥ 18 incorrect

When any part is incorrect the pair is not a solution

trying for C. (-1,3)

2 * -1 + 3 * 3 < 12

7 < 12   correct

3x - 2y ≥ 18

3 * -1 - 2 * 3 ≥ 18

-9  ≥ 18 incorrect

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\(4(x+7) \leqslant 4(2x+8)\implies 4x+28\leqslant 8x+32\implies 28\leqslant 4x+32 \\\\\\ -4\leqslant 4x\implies \cfrac{-4}{4}\leqslant x\implies \boxed{-1\leqslant x}\)

notice, in the division by "4" we didn't flip the inequality sign, because the division was by a positive value, we only flip it when the division involves a negative value.

Step-by-step explanation:

there are many people that find geometry easier, because here you can actually "touch" something and "see" what we are doing and dealing with.

anyway,

let's just remember what a parallelogram is and represents :

it has 2 pairs of parallel sides (the sides in each pair are parallel to each other). hence the name.

in order for that to be possible the sides in every pair must be equally long. in our case here : FG = EH, FE = GH.

the diagonals cross each other at their midpoints.

and then we see in the graphic how the diagonals split the the whole parallelogram into 4 triangles.

so, now we have all tools to solve the puzzles.

we know, I is the midpoint of both diagonals. and therefore, EI = IG, FI = IH

and that means

3x - 1 = 8

3x = 9

x = 3

the triangles FIG and EIH are congruent. that means, if you turn them to be oriented in the same direction and then place them on top of each other, they would cover each other perfectly.

and that means that they have the same angles and side lengths.

therefore, when we know things about one of these triangles, we know the same things about the other triangle. like the angles.

so, the angle IHE = IFG = 31°

the angle IEH = IGF = 46°

why do we know the 2 triangles are congruent ?

because the 3 sides of FIG are exactly as long as the 3 sides in EIH :

FG = EH

IG = EI

FI = IH

and that satisfies the SSS criteria (side-side-side) for congruent triangles.

and again, therefore, the angles must be the same too.

Step-by-step explanation:

The root of an equation is when x=0.

We need to rewrite this as 3x²-4x+10=0.

The quadratic formula is

(-b+or-sqrt(b²-4ac))/2a

so 4+or-sqrt(16-120)/2a

since the sqrt can no be negative this answer will have imaginary numbers.

(4+2i sqrt(26))6 and (4-2i sqrt(26))6

simplified is

x=(2+i sqrt(26))/3 and x=(2-i sqrt(26))/3

An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

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The complete question is given below:

What alternative best describes the language represented by the following regular expression?

(0∪ε)(1∪10)

Group of answer choices

(A) Strings do not have 2 consecutive 0s.

(B) Strings that only start with 1.

(C) Strings do not have 2 consecutive 1s.

(D) Strings that consist of alternating 0s and 1s.

Answer:

22/3 or 7 1/3 or ~7.33 inches

Step-by-step explanation:

1:3 is the ratio of head to body

so

if its body is 22

you place it at the end

x:22

the body must be 3 times the height of the head because 3 is 3 times 1

22 / 3 = 22/3 or 7 1/3 or ~7.33

that is your answer

Answer:

Step-by-step explanation:

(x - 2) (3x + 1) (4x – 3)=

12x^3-29x^2+7x+6

 Foil the binomials.

x*3x x*4x etc

Answer:

Step-by-step explanation:

• Sample—Randomly selected bags checked by passengers.

• Statistic—Mean weight of the bags of selected passengers.

• Parameter—Mean weight of all checked bags.

• Population—All bags checked by passengers.

In this scenario, the population is all checked bags of the airline's passengers. The parameter would be the mean weight of all the checked bags of all the passengers.

However, since it's not practical to weigh every single bag, the airline randomly selects bags from the population to create a sample. The mean weight of the bags of the selected passengers would be a statistic.
To get an accurate estimate of the population parameter, the airline would need to ensure that the sample they select is representative of the population. This means that the sample should have a similar distribution of weights as the population. The airline may also need to take into account any potential biases in the sample selection process.
Overall, in order to determine the mean weight of all checked bags of its passengers, the airline would need to select a representative sample of bags and calculate the mean weight of those bags. This statistic can then be used as an estimate for the population parameter.

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Answer:

11. 130°, obtuse angle

12. 40°, acute angle

13. 90°, right angle

14. 110°, obtuse angle

15. same as 14, I guess?

Step-by-step explanation:

questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°

question 12 - an acute angle is an angle that is less than 90°

question 13 - a right angle is exactly 90°

in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140

hope this helps :)

We need to find the present value, so we will use the formula of Present Value of Annuity:

P = (R/i) [1 - 1/(1 + i)^n]

P = (42,000/0.0622) [1 - 1/(1 + 0.0622)^(12+2)]

P = $510,836.65

The amount of money needed to invest today to have a retirement income of $3,500 per month for u + 28 months with 6.22% interest rate can be calculated as follows

Retirement income (R) = $3,500 per month, Rate of interest (i) = 6.22%,

Number of months (n) = u + 28, Present value (P) = ?

We know that the monthly interest rate will be i/12 and the total number of payments will be 12n months.

So, we can calculate the present value using the formula of Present Value of Annuity:

P = (R/i) [1 - 1/(1 + i/12)^(12n)]

P = (3,500/0.00518333) [1 - 1/(1 + 0.00518333)^(12(12+28))]

P = $385,773.62

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The cost of hotel in each city before tax are :

First city : $4250

Second city : $5250

Let x be the hotel cost for first city before tax and y be the hotel cost for second city before tax.

The hotel charge before taxes in the second city was $1,000 more than in the first.

y = x + 1000

Tax for first city = 4.5% and tax for second city = 4%

The total hotel tax paid for the two cities was $401.25.

0.045x + 0.04y = 401.25

0.045x + 0.04 (x + 1000) = 401.25

0.085x + 40 = 401.25

0.085x = 361.25

x = $4250

y = $4250 + $1000 = $5250

Hence the hotel cost before tax are $4250 and $5250.

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The question in English is given below :

A theater group made appearances in two cities. The hotel charge before taxes in the second city was $1,000 more than in the first. The tax in the first city was 4.5%, and the tax in the second city was 4%. The total hotel tax paid for the two cities was US$401.25. How much did the hotel cost in each city before tax?

First city:

Second city:

Answer:

x < 5

Step-by-step explanation:

1) Swap sides

5 > x

Swamp sides:

x < 5

2) Solution on coordinate plane

Solution: x < 5

Interval Notation: (-∞,5)

The value of 60% of 9 is 5.4.

What is percentage?

Percentage is a method of expressing a number as a fraction of 100. It is often used to represent the proportion or amount of something in relation to the whole. For example, if 20 out of 100 students in a class are absent, we can say that the percentage of absent students is 20%. Similarly, if a store is offering a discount of 10% on a product that costs $100, the discounted price will be $90 (i.e., 10% of $100 is $10, so the discounted price is $100 - $10 = $90). The percent sign (%) is used to denote percentages.

To find 60% of 9, we can multiply 9 by 0.60:

60% of 9 = 0.60 x 9 = 5.4

Therefore, 60% of 9 is 5.4

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Complete question: What is 60% of  9 ?

Answer:

4

Step-by-step explanation:

I took the test

Answer:

does it show you any statements or are you supposed to find one yourself?

The simplified form of the radical expression \(\(\sqrt[3]{-8y^2}\) is \(-2\sqrt[3]{y^2}\).\)

To simplify the radical expression \(\(\sqrt[3]{-8y^2}\)\), we need to factor the radicand and simplify the cube root.

First, let's factor -8 as \(\((-2)^3\)\) and rewrite the expression as \(\(\sqrt[3]{(-2)^3y^2}\).\)

Using the property of radicals, we can separate the cube root into two separate cube roots: \(\(\sqrt[3]{(-2)^3} \times \sqrt[3]{y^2}\).\)

Simplifying the cube root of \(\((-2)^3\)\), we get (-2), and the expression becomes \(\(-2\sqrt[3]{y^2}\).\)

So, the simplified form of the radical expression \(\(\sqrt[3]{-8y^2}\) is \(-2\sqrt[3]{y^2}\).\)

It's important to note that the cube root of a negative number is still a valid real number. However, in this case, we were able to simplify the expression by factoring out the cube root of a perfect cube, which eliminated the negative sign.

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Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5