What is the measure of ∠B?

Answer: A. [tex]\text{the sum of fifteen times a number and eight }[/tex]

Step-by-step explanation:

The given algebraic expression : [tex]15x + 8[/tex]

We can see that the constant term here is [tex]8[/tex].

The variable term is [tex]15x[/tex].

The operation used here = Addition

To convert any algebraic expression into a statement we represent the variable i.e. x by word "number".

Then the variable term is represented as : Fifteen times a number

Therefore, the best describes the given algebraic expression will be :-

"[tex]\text{the sum of fifteen times a number and eight }[/tex]"

Area of rectangular field is 6603m². Given width 71m, length is 93m (6603 ÷ 71).

To find the length of the rectangular field, you can use the formula for the area of a rectangle:

[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

Given that the area is [tex]\( 6603 \, \text{m}^2 \)[/tex] and the width is [tex]\( 71 \, \text{m} \)[/tex], you can rearrange the formula to solve for the length:

[tex]\[ \text{Length} = \frac{\text{Area}}{\text{Width}} \][/tex]

Substitute the given values:

[tex]\[ \text{Length} = \frac{6603 \, \text{m}^2}{71 \, \text{m}} \][/tex]

[tex]\[ \text{Length} = 93 \, \text{m} \][/tex]

So, the length of the rectangular field is [tex]\( 93 \, \text{m} \).[/tex]

Using the values given for 'a' and the equation '4a + b = 6', we applied the substitution property to prove that the value of 'b' is -14.

Given that a=5 and 4a + b=6, we can use the substitution property to find the value of b. The substitution property allows us to replace a with 5 in the second equation.

Performing the substitution, we have:

By substituting and manipulating the equation, we prove that b equals -14 when a equals 5 and 4a + b equals 6.

The absolute value |x−y|>0 when x and y are different, |x−y|=0 when x and y are the same, and |x−y| cannot be < 0 because absolute values cannot be negative.

The question is about absolute value, which refers to the distance of a number from zero on a number line. The notation |x−y| represents the absolute value of (x-y).

When |x−y|>0, it means that x and y are distinct from each other. For example, if x = 2 and y = 1, |x-y| equals |2-1|=1, which is indeed greater than 0. There are infinite such values for x and y as long as they are not the same.

When |x−y|=0, it implies that x and y are the same. The only way the absolute value of a number can be zero is when the number itself is zero. Therefore, this can only happen if x = y. If x and y are both 2, for example, |x-y| equals |2-2|=0.

|x−y| cannot be less than 0. The absolute value of a number can never be negative, because it represents the distance a number is from zero and distance cannot be negative.

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Skew lines are non-coplanar lines that do not intersect. For example, take a look at the image provided below. Lines m and n in the diagram do not lie on the same plane and they don't intersect. Therefore, we can say that line m is skew to line n.

Answer:

triangleABC ≅ triangleABD by ASA

Step-by-step explanation:

Took the test and it was correct

The value of the length GJ for the given triangle will be 8 units thus option (D) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

As per the given isosceles triangle which has two equal sides so suppose the length of those sides is x unit.

By Pythagoras' theorem,

⇒ x² + x² = 16²

⇒ 2x²  = 256

⇒ x² = 128

The area of a triangle is given as,

⇒ (1/2) × x × x

⇒ (1/2) x²

⇒(1/2) × 128

⇒ 64 units²

The area of the triangle will also be given as,

A = (1/2) × 16 × (GJ)

Compare both areas as

64 = (1/2) × 16 × GJ

GJ = 8 units

Hence"For the provided triangle, the length GJ value will be 8 units".

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Answer:

3n^9

this is answer peace

the equation is, 
a_n = a_(n–1) + 3 * n + 2

Substituting the values for day 4, 

20 + 3*4 + 2 = 34

Thus the equation is correct

Therefore to calculate for a_n at n = 7 or a_7, we must calculate a_5 and a_6 first.

a_5 = 34 + 3*5 + 2 = 51

a_6 = 51 + 3*6 + 2 = 71

Hence,

a_7 = 71 + 3*7 + 2 = 94

Answer: D. 94

Answer:

the number is 4

Step-by-step explanation:

Hello,I think I can help you with this

Step 1

convert into mathematical terms

let x the unknown number

three more: 3 +

twice the sum of 7 and a number:2(7+x)

is 25:=25

Hence

3+2(7+x)=25

Step 2

Now, solve for x

3+14+2x=25

17+2x=25

2x=25-17

2x=8

x=8/2

x=4

the number is 4

Do not hesitate to ask me if you have any concerns

Have a great day.

Answer:

30 square units

Step-by-step explanation:

For a rectangle to be described as "inscribed" in the context of estimating the area under a curve, the entire rectangle should be positioned underneath the curve.

Therefore, as the curve of f(x) = x² is convex (concave up) in the interval [1, 5], to estimate the area under the curve by using inscribed rectangles, we can use the Left Riemann Sum.

The Left Riemann Sum is a numerical approximation method used to estimate the definite integral of a function over a given interval by dividing the interval into subintervals. It approximates the area under the curve of a function by using rectangles, where the left side of each rectangle touches the curve at the left endpoint of each subinterval.

[tex]\boxed{\begin{minipage}{11cm}\underline{Left Riemann Sum}\\\\$\displaystyle \int^b_a f(x)\; \text{d}x \approx \Delta x \left(f(x_0)+f(x_1)+f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)$\\\\$\text{where}\; \Delta x=\dfrac{b-a}{n}$\\\end{minipage}}[/tex]

The number of subintervals, n, is the number of rectangles used, and the interval is [a, b].

As the interval is [1, 5], this means that a = 1 and b = 5.

As the number of rectangles to use is 4, then n = 4.

Calculate the value of Δx:

[tex]\Delta x=\dfrac{b-a}{n}=\dfrac{5-1}{4}=\dfrac{4}{4}=1[/tex]

The given partition divides the interval [1, 5] into 4 subintervals where the width of each subinterval is one. Therefore, the left endpoints are:

Substitute everything into the formula and solve:

[tex]\begin{aligned}\displaystyle \int^5_1 x^2\; \text{d}x &\approx 1\cdot \left(f(1)+f(2)+f(3)+f(4))\right)\\\\&=(1)^2+(2)^2+(3)^2+(4)^2\\\\&=1+4+9+16\\\\&=30\end{aligned}[/tex]

Therefore, the estimation of the area under the curve f(x) = x² from x = 1 to x = 5 using four inscribed rectangles is 30 square units.

Answer:

C. 75.

Step-by-step explanation:

We have been given a diagram of two parallel lines and we are asked to find the value of y.

We can see from our given diagram that angle y and the angle that measures 105 degrees is formed inside the parallel lines and on the same side of transversal.

Since the the angles formed on the same side of transversal and inside parallel lines are called consecutive interior angles and they add up-to 180 degrees, so we can set an equation as:

[tex]y^o+105^o=180^o[/tex]

[tex]y^o+105^o-105^o=180^o-105^o[/tex]

[tex]y^o=75^o[/tex]

Therefore, the value of y is 75 degrees and option C is the correct choice.

Answer:

[tex]x=44-y[/tex]

Step-by-step explanation:

Let x represents the number of glasses of iced tea and y represents the number of glasses of lemonade.

We have been given that Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. We can represent this information in an equation as:

[tex]x+y=44[/tex]

Since x represents the number of glasses of iced tea, so we will solve for x by subtracting y from both sides of our equation.

[tex]x+y-y=44-y[/tex]

[tex]x=44-y[/tex]

Therefore, the equation [tex]x=44-y[/tex] represents the number of glasses of iced tea Fiona can serve.

Final answer:

To find the sale price of the shirt after a 15% discount on the marked price of $28, calculate the discount, subtract it from the original price, resulting in a sale price of $23.80.

Explanation:

Marcus bought a shirt that was marked $28, but it was on sale for 15% off the marked price. To calculate the price of the shirt after the discount, you first need to determine the amount of the discount. To do this, convert the percentage to a decimal by dividing by 100 (15% = 0.15) and then multiply this by the original price.

Discount amount = Original price × Discount rate
= $28 × 0.15
= $4.20.

Subtract the discount amount from the original price to find the sale price of the shirt:
Sale Price = Original price - Discount amount
= $28 - $4.20
= $23.80.

Therefore, the price of the shirt after the 15% discount is $23.80.

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is : [tex]-8+6[/tex]

-8 can be written as [tex]-6-2[/tex]

So, the expression will be = [tex]-6-2+6[/tex]

The plus six and minus six will be cancelled. so,

-2 will be remaining.

So the answer is -2   :    Answer

Hope it will help :)

Answer:

-2

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

The total amount of his medical insurance is 100%. As such if Jamarcus's employer pays 80 percent , then the amount he pays would be equivalent to 20%.

As such, if the insurance costs Jamarcus $20 a week and the total amount is Y

then,

20% of Y = $20

0.2Y = $20

Y = $100

His employer will be pay­ing

= 80% of $100

= $80