A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 7.5-foot-long shadow. What is the height of the flagpole?

Step-by-step explanation:

consider the sign as equals then

move 2x right side 3 on left

solve it

answer is 2

Question is: 2x - 1 >= 4x + 3

First, join the like terms together.

-> So 2x moves into 4x, meaning it becomes negative -2x on the other side.

-> The number 3 moves into the other side which also becomes negative.

Now the equation will look like this:

- 3 - 1 >= 4x - 2x

- 4 >= 2x

Put 2 on the other side with - 4, and it will divide (not plus or minus as 2 was combined with an unlike term).

It looks like this now:

- 4/2 >= x

- 2 >= x

This is the answer.

Answer:

A

Step-by-step explanation:

Answer:

y = 5/4x - 3

Step-by-step explanation:

Answer:

HI UR CUTE

Step-by-step explanation:

I JUST FARTED

Answer:

The answer is "31.888".

Step-by-step explanation:

If their respective angles become congruent or the side lengths get a constant relation, they realize that two quadrilaterals are similar

EFGH is similar to IJKL  because of quadrilateral

[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888[/tex]

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

→ Form an equation

[tex]\frac{x+6+11}{3}=8[/tex]

→ Solve

[tex]x+6+11=24\\[/tex]

[tex]x=7[/tex]

Answer:

i think its b tell me if im wrong!

Answer:

D.

Step-by-step explanation:

Answer:

$78.9

Step-by-step explanation:

Given data

We are told that the store purchased the shoe before mark up, hence we only need to solve for the tax

tax= 6%

=6/100*75

=0.06*65

=$3.9

Hence the total is

=75+3.9

=$78.9

Answer:

108 degrees

Step-by-step explanation:

3x+x+6x=10x, 180/10=18 and 18x6 is 108

Answer:

number 2 in the left

Step-by-step explanation:

Answer:

[tex]s^2 = 0.01[/tex]

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex]

First, we calculate the mean

[tex]\overline x = \frac{\sum x}{n}[/tex]

[tex]\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}[/tex]

[tex]\overline x = \frac{7.4}{4}[/tex]

[tex]\overline x = 1.85[/tex]

[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex] becomes

[tex]s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}[/tex]

[tex]s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}[/tex]

[tex]s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}[/tex]

[tex]s^2 = \frac{0.03}{3}[/tex]

[tex]s^2 = 0.01[/tex]

Hence, the variance is 0.01

Answer:

11.3

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

8^2+8^2=128

the square root of 128 is 11.3137085

then you round to the nearest tenth and get 11.3

Answer:

d

Step-by-step explanation:

Answer:

[tex]a = 2p[/tex]

Step-by-step explanation:

Given

[tex]Admission\ Fee = \$2[/tex] per person

Required

Represent as an equation

For 1 person, the admission fee is 2

For p people, the admission fee will be 2p.

Hence:

[tex]a = 2p[/tex]

Answer:

11235.35

Step-by-step explanation:

Given data

P=8225

R=4.2%=0.042

T=8years

The simple interest formula is

A=P(1+rt)

Substitute

A=8225(1+0.042*8)

A=8225(1+0.336)

A=8225*1.366

A=11235.35

Hence the balance will be 11235.35

Answer:

-0.9

Step-by-step explanation:

Answer:

x=-9/10 or -0.9

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain the variable. Hope this helped! :)

Answer:

117 in²

Step-by-step explanation:

The formula is just Area = base * height

This means 13in*9in=117in²

The area of the parallelogram is 117 in²

Let's solve your equation step-by-step.

−3(x+4)=−24

Answer:

x=4

Answer:

There are 4 solutions

Step-by-step explanation:

Solve it

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.

Answer: The width is 12 feet, since the pool measures 10 by 12.

Step-by-step explanation:

Your aunt will need 120 square feet of land. I know this because you multiply the length by the width, it equals 120. Then I have to look for the perimeter, and I do this by adding the length twice and add the width twice. This would equal 42.

Answer:

(2,2)

Step-by-step explanation:

The midpoint between (5,8) and (-1,-4) would be (2,2). I hope that's what you're looking for.

Answer:

THe answer is a

Step-by-step explanation:

the answer is a

Answer: 7 3/4 pounds

Step-by-step explanation:

Here's the correct question:

Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?

The amount of pounds of plum that is ordered this year will be:

= 15 1/2 × 1 1/4

= 31/2 × 5/4

= 19 3/8

Since they want 2/5 to be red plums, the total amount of red plums will then be:

= 2/5 × 19 3/8

= 2/5 × 155/8

= 310/40

= 7 3/4 pounds

Answer:

23m

Step-by-step explanation:

The product of a number m and the numeral 23 is 23m.

Based on the calculations, The product of a number m and 23 is equal to 23m.

In Mathematics, it is important to assign a variable to the parameters used in a word problem, so as to distinguish each of them. Thus, m represents the variable for the given word problem.

Next, we would multiply the variable by the given number.

Translating the word problem into an algebraic expression, we have;

m × 23 = 23m.

Read more on word problems here: brainly.com/question/13170908

#SPJ2

Step-by-step explanation:

Statements Reasons

In [tex] \triangle ^{s} [/tex] ABC and EDC

1.[tex] \angle \: ABC = \angle \: CDF [ A ][/tex] Both are 90° [ Given }

2. BC = CD [ S ] C is the midpoint of BD [ Given ]

3. [tex] \angle \: BAC = \angle \: CED [ A ][/tex] Alternate angles

4. [tex] \triangle ABC \cong \triangle \: EDC \: [/tex] By AAS axiom

Hence Proved !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

14x-4

Step-by-step explanation:

So you know 3x +5x = 8x so then you add 6x and put -4

Answer:

14x - 4

Step-by-step explanation:

simplifying this kind of given expression just means to put the variables all together and the numbers all together to get a shorter and more simplified version of the equation.

first do:

3x+5x+6x=

14x

and than you just have one number so your final simplified equation would be:

14x-4

Answer:

D

Step-by-step explanation:

brainliest

I need help with this one too

Answer:

3.00

Step-by-step explanation: