Find the measure of ∠ 1

Answer:

parallel line: y = 8x - 26

perpendicular line: y = -1/8 x - 13/8

Step-by-step explanation:

1.

Lines are parallel, so slopes are equal, and y-intercepts are different.

Given line:

y = 8x - 2

New line:

y = 8x + b

Use point (3, -2) and solve for b.

-2 = 8(3) + b

-2 = 24 + b

b = -26

Equation: y = 8x - 26

2.

Lines are perpendicular, so slopes are negative reciprocals.

Given line:

y = 8x - 2

New line:

m = -1/8

y = -1/8 x + b

Use point (3, -2) and solve for b.

-2 = -1/8 × 3 + b

-2 = -3/8 + b

b = -16/8 + 3/8

b = -13/8

Equation: y = -1/8 x - 13/8

Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

Answer:

370 m²

Step-by-step explanation:

Front and back

a = 2(11 * 6)

a = 132 m²

Right and left sides

a = 2(7 * 6)

a = 84 m²

Top and bottom

a = 2(11 * 7)

a = 154 m²

______________________

total

a = 132 + 84 + 154

a = 370 m²

The fraction that is equivalent to 3/4 is seen as; 6/8

A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.

We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.

Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by  denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.

Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;

(3 * 2)/(4 * 2) = 6/8

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Answer:

no correlation

Step-by-step explanation:

Answer:

1. 7/8

Step-by-step explanation:

Answer:

41 units

Step-by-step explanation:

Use the Pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 9^2 + 40^2

c^2 = 81 + 1600

c^2 = 1681

Take the square root of both sides

c = 41

The length of the diagonal is 41 units

The Pythagoras' rule states that the sum of the hypotenuse squared is equal to the sum of both the opposite squared and the adjacent squared.

i.e

hyp² = opp² + adj²

The shape of the rectangle takes a right angle triangle with the:

hyp² = 40² + 9²

hyp² = 1600 + 81

hyp² = 1681

hyp = [tex]\mathbf{\sqrt{1681}}[/tex]

hyp = 41 units

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Step-by-step explanation:

s(n) = 2n - 5  

                  What is the sum  1st and 6th terms of the sequence?  12

s(1) = 2(1) - 5           =   -3

s(2) = 2(2) - 5         =   -1

s(3) = 2(3) - 5         =    1

s(4) = 2(4) - 5         =   3

s(5) = 2(5) - 5         =   5

s(6) = 2(6) - 5         =   7       add these numbers

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

A trigonometric function whose value for the complement of an angle exists equivalent to the value of a given trigonometric function of the angle itself the sine exists the cofunction of the cosine.

According to the property of cofunctions, [tex]$\sin 30^{\circ}$[/tex] exists equivalent to

[tex]$\cos 60^{\circ} \cdot \sin 30^{\circ}=1 / 2$[/tex].

Therefore, the correct answer is option B. 1/2.

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The constant cost call c is $0.7 and the cost of per minute call m is $0.93.

In algebra, a system of equations consists of two or more equations and looks for ways to solve them all together. A group of equations that have the same set of variables as solutions are referred to as a system of linear equations.

Let the constant cost be c and the per minute cost be denoted by m.

The equation for 5 minutes of the call is:

5.91 = 5m + c

c = 5.91 - 5m

The equation for 10 minutes of the call is:

10.06 = 10m + c

Substitute the value of c in the above equation:

10.06 = 10m + 5.91 - 5m

10.06 - 5.91 = 5m

4.69 = 5m

m = 0.93

Substitute the value of m:

10.06 = 10(0.93) + c

c= 0.7

Hence, the constant cost call c is $0.7 and the cost of per minute call m is $0.93.

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Answer:

9 pencils

Step-by-step explanation:

We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.

Let the no. of pencils be x,

= 5/3 = 15/x

Do cross multiplication

= 5x = 15 × 3

= x = 45/5

= x = 9

No of pencils = 9

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Answer:

[tex]2 \frac{23}{27} [/tex]

I wish you luck in your assignments.

Answer:

(- -)--).- | D)2132© 21|32 is not an equation i'm pretty sure

Step-by-step explanation:

I'm not sure what the first and last question answers are sorry. But I know that the second question is 31 the third question is 10 and the fourth question is 12.

Answer:

Mizuki is on the way to help!

The original price was $50!

Step-by-step explanation:

This is the way I did it, I don't know if your going to do it this way so use it as an refrence!

10 - 4 = 6

30 ÷ 6 = 5

5 x 10 = 50

Answer:

$50.00

Step-by-step explanation:

This is because 30 is 60% of 50. (100% - 40% = 60%)

You can verify this answer by calculated 40% of 50, which is 30.

Hope this helps!

Answer: 315,392

Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.

Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392

I had to edit cause I miscalculated :/ anyways I hope this is correct

Answer: b

Step-by-step explanation:

Esh

Answer:

1) A) Increases

2) C) Stays the same

Step-by-step explanation:

1) A) Increases (94 to 95)

2) C) Stays the same (95)

Answer:

x = 3

Step-by-step explanation:

Answer:

it’s in the picture

Step-by-step explanation:

I hope it helps

Answer:

4

Step-by-step explanation:

2:3

4:6

6:9

8:12

8 girls in Ronna’s class

Half of 8 is 4

9514 1404 393

Answer:

  (c)  76.3 in^2

Step-by-step explanation:

From the offered selections, you can make an informed choice with a simple estimate.

The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.

The only choice in the range 48 to 84 square inches is the correct one:

  76.3 square inches

__

If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.

Answer: (12,5)

Step-by-step explanation: For that class you can't do

The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

All the inequalities are,

S < 10 - 0.33t

S < 12 - t

S > 5 - t

S > 0

t > 0

From option B;

Point = (3, 2) = (s, t)

Put s = 3 , t = 2, we get;

S < 10 - 0.33t

3 < 10 - 0.33 x 2

3 < 10 - 0.66

3 < 9.34

Hence, The points (s, t) is inside the shaded region of the set of inequalities shown is, (3, 2)

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ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Answer:

Step-by-step explanation:

1. Find the slope of the line using the formula (change in y/change in x)

(12-22)/(7/12)=2

2. Find the y intercept by plugging in one coordinate point and the slope into the slope-intercept form.

Formula: y=mx+b Coordinate: (12, 22)

22=2(12)+b

22=24+b

b=-2

3. Put the equation together given slope and y-intercept.

y=2x-2

Answer:

Step-by-step explanation:

Answer:

Isosceles right triangle

Step-by-step explanation:

Right isosceles has a 90° degree angle with two other sides 45° each

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Explanation:

Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.

Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.

So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".