Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is

Answer:

ASA

Step-by-step explanation:

Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA

Answer:

The answer is Option B.) ASA

Explanation:

With the ASA rule, all triangles are congruent.

The formula

x + y = 32

Find our X value

y + 14 = x

Sub for x

(y + 14) + y = 32

Remove Parathesis

y + 14 + y = 32

Add

2y + 14 = 32

Subtract

2y = 18

Divide

y = 9

Sub for y

x + 9 = 32

Subtract

x = 23

Double Check:

9 + 14 = 23

23 + 9 = 32

I hope this helps! :)

Answer:

14.6

Step-by-step explanation:

the given angle 6.2 is cleared to be wrong

so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles

Step-by-step explanation:

Solution A is 40% acid and solution B is 80% acid. How many

liters of each should be used in order to make 100 L of a solution

is 64% acid

There should be 40 L of solution A and 60 L of solution B should be added in order to make 100 L of a solution that is 64% acidic.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, solution A is 40% acidic and solution B is 80% acidic, they are mixed to get a 100 L solution which is 64% acidic.

Establishing the equations,

A+B = 100

A = 100-B.......(i)

40% of A + 80% of B = 64% of 100

0.4A + 0.8B = 64......(ii)

Solving the equations,

0.4(100-B) + 0.8B = 64

40 - 0.4B + 0.8B = 64

0.4B = 24

B = 24/0.4

B = 60

Putting, B = 60 in Eq(i)

A = 100-60

A = 40

Hence, The amount of solutions needed is A = 40 L and B = 60 L.

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Explanation:

For each row, divide the color counts over the total. For example, we have 9 red in bag one out of 61 total. This leads to a relative frequency of 9/61 = 0.1475 which rounds to 0.148; so approximately 14.8% of the items in bag one are red. This represents the top left corner of the table.

As another example, we have 5 brown out of 60 total in bag ten. That leads to a relative frequency of 5/60 = 0.0833 = 0.083 (see the bottom right corner of the table).

Take note that for any given row, adding up the relative frequencies will yield the value of 1 (though there might be some slight rounding error along the way).

Answer:

374.4 gallons

Step-by-step explanation:

there are 52 weeks in a year

every other week means once every two weeks

52 / 2 =26

14.4 gallons x 26 = 374.4 gallons

The probability that the balls drawn are red, green, and black in that order will be 3/78.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:

= 4 + 7 + 3

= 14 balls.

The probability that the balls drawn are red, green, and black in that order will be:

= P(red) × P(green) × P(black)

= 7/14 × 3/13 × 4/12

= 1/2 × 3/13 × 1/3

= 3/78

The probability is 3/78.

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Answer:

both isosceles???

Step-by-step explanation:

Answer:

They are similar.

Step-by-step explanation:

There might be other ways but

<X(Angle of x) is used for both triangle XAB and XYZ

And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.

The similarity statement is: AAA Because angle(A=B , B=Z)

Step-by-step explanation:

along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.

along the side with 2 2/3 cm we can fit 8 cubes :

2 2/3 = 6/3 + 2/3 = 8/3.

and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8

and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.

so, we have

3 × 8 × 2 = 48

48 cubes are needed to fill the prism.

Answer:

  $189.48

Step-by-step explanation:

  $145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48

Answer:

Wes

Step-by-step explanation:

This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct

Answer:

There are 9 people in the class.

Step-by-step explanation:

Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,

4+4+1 (Sean himself) = 9 people

The number of students in the class is given by the sum of the frequency

of each score.

Reasons:

When the class scores are arranged in increasing order, we have;

Sean's position = 5 th = The fifth lowest score

Therefore;

When the scores are arranged in decreasing order, we have;

Sean's position = 5 th = Fifth highest score

Therefore;

Given that two or more students can have the same score, the frequency

of each score, determines the number of students in the class, we have;

Learn more about data frequency here:

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Answer:

i dont understand

Step-by-step explanation:

i took test

4 3/4 = 19/4

133/(19/4) = 133(4/19) = 1197/19 = 63 mph

Answer:

95 Dollars

Step-by-step explanation:

95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

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Answer:

✔ 1.5

words/second is the unit rate for Tristan.

✔ 2

words/second is the unit rate for Ebony.

So,

✔ Shanya

is the fastest typist

thanks and 5 stars >:(

Answer:

add the two then subtract the two and put those answers in each box :)

Step-by-step explanation:

hope this helped! happy holidays!

The exact area of triangle ABC is 93.51 cm².

The given parameters;

The base of the triangle is calculated by using trigonometry ratio as follows;

[tex]tan (30) = \frac{b}{18} \\\\[/tex]

where;

[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: https://brainly.com/question/23945265

Answer:

solution given :

Since opposite side and side of a congruent triangle are equal.

Now

the statement which is true is:

<HDG=~ <HFE

Answer:

$16

Step-by-step explanation:

1-⅗=⅖

40×⅖=16

Here's the answer

Answer:

$0.05

Step-by-step explanation:

1.25/25=0.05

x = 64

since , it is vertically opposite

nasa pick po yong sagot

#CARRYONLEARNING

loveuall:)

Answer:

y=-1/2x-3

Step-by-step explanation:

Let's pick two points for slope.

[tex]\frac{-1+3}{-4-0}[/tex]

[tex]\frac{2}{-4}[/tex]

For the y-inctercept, the line intersect at the y-axis at (0,-3)

CHECK:

[tex]y=-\frac{1}{2} (-4)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Answer:

8 × 10¹

Step-by-step explanation:

don't panic. just breathe deeply and then think logically.

0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?

the 3rd position after the decimal point is for 1/1000.

and that means 10^-3. in the same way as 1000 is 10³.

so, it is 2 × 10^-3.

the other rounded number is then 4 × 10⁴.

now, we are multiplying both numbers

2×10^-3 × 4×10⁴

what do we do ?

we combine the same types of factors, like the basic constants : 2×4 = 8

and 10^-3 × 10⁴.

what hairball when we multiply the same base number with exponents ? we add the exponents :

10^-3 × 10⁴ = 10¹ = 10

because -3 + 4 = 1

and so, the result is

8 × 10¹

=============================================================

Explanation:

He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.

85% in decimal form is 0.85

The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.

The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901

This tells us that Andrew's father pays 90.1% of the original bill

0.901*40 = 36.04 dollars

--------------

An alternative method:

15% of $40 = 0.15*40 = 6

Andrew's father saves $6

The bill of $40 drops to 40-6 = 34 dollars before tax.

6% of $34 = 0.06*34 = 2.04

The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

Answer:

[tex]\huge\boxed{-y^2+2y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]

Used:

[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]