∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

Answer:

A = ½ * base * height

A = ½ * x * (2x-3)

17.5 = ½ * (2x² - 3x)

35 = 2x² - 3x

0 = 2x² - 3x - 35

2x² - 3x - 35 = 0 .......... (the equation)

(2x + 7)(x - 5) = 0

2x + 7 = 0

2x = - 7

x = -7/2 = -3.5

x-5 = 0

x = 5

since we have two result of x, then we can choose the positive one x = 5

so the base is 5 m and the height is

h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

The correct answer is translation and a dilation

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

The steps are as follow:

So the correct answer will be translation and a dilation

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Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

Answer:

30 m

Step-by-step explanation:

We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two

Answer:

Step-by-step explanation:

x ≥ 2800

12*75=900

900< x

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]

Answer:

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

By Rule 5: Lia is next to Kenny, therefore:

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

Answer:

I believe the answer will be 36 for the dog legs.

Step-by-step explanation:

first you get a calculator

then you type in 18 divided by 50

then you hit enter

then the answer will come up as 0.36

Answer:

33 hours

Step-by-step explanation:

Take the distance and divide by the rate to get the time

1650/50 = the number of hours

33 hours

Answer:

33 hours

Step-by-step explanation:

mph stands for miles per hour

So, 1650/50=33, which finds how long in hours

So, if your speeds stays constant it should take 33 hours

Answer:

15:2; there are 2 counselors to every 15 campers

Step-by-step explanation:

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

Answer:

B

Step-by-step explanation:

Answer:

[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]

[tex].18+.82=1[/tex]

[tex].14+.86=1[/tex]

[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]

[tex].41+.59=1[/tex]

[tex].48+.52=1[/tex]

[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]

Step by Step:

Step which two decimals added together equal 1?

0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18

[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]

Now solve for the rows in the first table

[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]

so there is the first row for boys in the first table

Now solve for the second rows in the first table

[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]

so there is the second row for girls in the first table

Now we do pretty much the same for table 2 just it's columns instead of rows

[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]

So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.

[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]

So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.

Hope this makes sense and helps!!!

Answer:

first box= boys= .82, .18  girls= .86, 14

second box= boys= .52 .59 girls= .48 .41

Step-by-step explanation:

i did the test

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

Answer:

12 inches

Step-by-step explanation:

A=0.5bh

A=0.5xh

60=0.5*10*x

60=5x

5x=60

x=12

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

Answer:

1/5

Step-by-step explanation:

F(x)=x^2

g(x)=1/(2x+3)

g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1

g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2

The statement that is not true based on these diagrams will be;

⇒ m ∠A = m∠2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Now,

Since, In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Hence, We get;

⇒ m ∠A + m ∠B + m ∠C = 180°

Substitute all the values, we get;

⇒ m ∠A + 34° + 108° = 180°

⇒ m ∠A + 142° = 180°

⇒ m ∠A = 180° - 142°

⇒ m ∠A = 38°

Thus, The incorrect statement is,

⇒ m ∠A = m∠2

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Answer: -24

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Did it on edge2020

Answer:

C. 4

Step-by-step explanation:

arc length = radius*θ ,

where θ is an angle in radians.

12 = 3*θ

θ = 12/3 = 4

Answer:

0

Step-by-step explanation:

we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)

The (x-y) cancel out so the fraction becomes (x+y)

The two (x+y) also cancel out so it becomes 0

Answer:

0

Step-by-step explanation:

[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]

Hope this helps!

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

Answer:

[tex]\angle\,JLF = 114^o[/tex]  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]

Therefore, the two equal acute angles in the triangle JOH should add to:

[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].

Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]

Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]

Answer:

SSS Theorem

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

They share a side so that's the third side that's the same