Two angles of a quadrilateral measures 20° and 50° the other two angles are in a ratio of 4:15 what are the measures of those two angles

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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Answer:

A line with a negative slope goes downwards from left to right.

I learned that in Graphing.

Step-by-step explanation:

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76  ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76  - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

Answer:

14+x

Step-by-step explanation:

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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As a result, the borrower can qualify for a loan amount of $476,757.76, expression resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To solve this problem, we must use the loan program's single ratio, which is 45%. This is the maximum debt-to-income (DTI) ratio a borrower can have in order to qualify for the loan.

$65,000 divided by 12 months equals $5,416.67 per month

$5,416.67 divided by 45% equals $2,437.50 per month

$2,437.50 minus $360 equals $2,077.50 per month

$2,077.50 minus $490 equals $1,587.50 per month

This means that the borrower can afford a $1,587.50 monthly principal and interest payment.

Loan amount = (Monthly payment) / (Monthly interest rate)

The loan amount is ($1,587.50) divided by the loan term (0.00333)

The loan amount is $476,757.76.

As a result, the borrower can qualify for a loan amount of $476,757.76, resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

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Answer:

(2, 4)

Step-by-step explanation:

Anytime you rotate a point 180° about the origin, the x-coordinate and y-coordinate become their opposites.

(x,y) becomes (-x,-y)

Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

Answer:

g+3 +36+8=

g+39+8=

g+47

You can't find an answer but this is how you would simplify it :)

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

Answer:

The answer is 197

Step-by-step explanation:

I saw this on another question so I hope you trust that this is the right answer

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{\(\sqrt{n}\)} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/\(\sqrt{30}\))

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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for ( 1, -3)

answer: yes

for (-3, 7)

answer: yes

for ( -4, -6)

answer: No

for (2, 8)

answer: No

Answer:

Step-by-step explanation:

Since its isosceles right triangle, then 2 sides are going to be the same. There are 2 legs that are in any triangle, they give us 1 leg so now we know what the other leg is. Now the formula for finding hypotenuse is a2+b2=c2.

\(3^{2}+3x^{2} =c^{2}\)     3 squared is 9, so 9+9=18

now we have c but we arent done so now we find the square root, \(\sqrt{18}\). Which is \(3\sqrt{2}\) or 4.24.

Answer:

2 cartons of eggs and 3 bags of English muffins

Step-by-step explanation:

2x12 = 24 and 3x8= 24

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

The answer is 1 + 1 = 2

Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

The number of cookies Zahra made with 4/5 kilograms of butter is 1333.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Zahra has 4/5 kilograms of butter to bake cookies.

Each batch of cookies requires 6/10 grams of butter

4/5 kilograms = 800 grams and 6/10 grams =0.6 grams

Number of cookies = Number of kilograms of butter ÷ Butter requires in each cookie

= 800 ÷ 0.6

= 800/0.6

= 1333

Therefore, the number of cookies are 1333.

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Complete Question

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. What does the denominator of this rational expression represents?

Answer:

Number of people going on the tour

Step-by-step explanation:

Given that the average profit per person  \(=\dfrac{18x+35}{x}\)

\(\text{Average}=\dfrac{\text{Sum of Total Items}}{\text{Number of Items}}\)

Therefore:

\(\text{Average Profit}=\dfrac{(18x+35)\text{ profit}}{x\text{ persons}}\)

The denominator, x represents the number of people going on the tour.

Answer:

btw 35/x represents epresents a fixed cost, like a cover charge for the tour, that is not affected by the number of people attending the tour. So, the quotient 35/x represents the profit that the tour company makes from the cover charge per person.

Step-by-step explanation:

PLATO

The single complex number corresponding to each expression:

1. √(-9) = 3i

2. √(-16) = 4i

3. √(-6)√(-24) = 12

4. √(-3)√(-75) = 15

5. (2+√(-12))/2 = 1 + 3i

6. (4 + √(-20))/2 = 2 + 5i

We represent √(-1) as i which is an imaginary number. Complex numbers are numbers of the kind a + ib, where a and b are real numbers.

Hence all real numbers are also complex numbers (i.e., when b = 0).

Also we use some formula for square roots:

√(ab) = (√a )(√b)

Now, to find the single complex number corresponding to each expression:

1. √(-9) = √(9) x √(-1) = 3i

2.  √(-16) = √(16) x √(-1) = 4i

3. √(-6)√(-24) = √(-6 x -24) = √(144) = 12

4. √(-3)√(-75) = √(-3 x -75) = √(225) = 15

5.  (2+√(-12))/2 =  (2+√4√3√(-1))/2 =  (2+2 x (√3)i)/2  = 1+(√3)i

6. (4 + √(-20))/2 = (4 + √4√5√(-1))/2 = (4 + 2 x (√5)i )/2 = 2 + (√5)i

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Answer: 4/5

How to: Convert to a mixed number by placing the numbers to the right of the decimal over  10 . Reduce the fraction.

Have a great day and stay safe ! so sorry if wrong

Answer:

8/9

Step-by-step explanation:

i got it righttt

If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.

If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.

Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.

Note that we can also interpret the translation as

• a shift upward of a - b units, since

(x + a) - b = x + (a - b)

• a shift b units to the right and a units upward, since

(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.

Answer:

33

Step-by-step explanation:

angles on a straight line sum up to 180°

104+x+x+10=180

114+2x=180

2x=180-114

2x=66

x=33

Answer:

C. 33

Step-by-step explanation:

So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.

First, let's find the coordinates of the trapezoid

A(-5, 2)

B(-1, 2)

C( -2, 4)

D(-3, 4)

3 units right means we will add 3 to the x-axis

2 units up implies we are adding 2 to the y-axis

A(-5, 2) ⇒ A'(-2, 4)

B(-1, 2) ⇒ B'( 2, 4)

C(-2, 4) ⇒ C'( 1, 6)

D(-3, 4) ⇒ D' (0, 6)

Hence, from the options given, A' and D' are vertices of the translated figure