Round the number 0.86431 to 2 decimal places.

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A:  12/15 simplifies to 4/5, wrong answer

Answer B:  9/12 simplifies to 3/4, wrong answer

Answer C:  6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

Answer: where are the answer choices I know the answer but I don't see any answer choices on the board

Answer:

c is the answer

Step-by-step explanation:

I hope it may helps you

D) 16.

Espero que esto ayude hermano.

Answer:

(1,-4)

Step-by-step explanation:

First manipulate the second equation so that y is by itself

x-y=5

-y=-x+5

y=x-5

then substitute that y in for the y in the above equation and solve for y

y=-2x-2

x-5=-2x-2

3x-5=-2

3x=3

x=1

Now that you have the x-coordinate, find the y-coordinate by plugging in the x-value in either of the equations

y=-2x-2

y=-2(1)-2

y=-2-2

y=-4

I see that you're using deltamath, and I think for the graph questions, you could first place a point for the y-intercept of one of the equations, and then place another point that is on the graph of the equation. Once you plotted both lines, just see the point where they meet and that is where the two systems of equations meet.

Answer:

I think the answered is x = 16 hope I right

Answer:

X = 16

Step-by-step explanation:

2.5x+10 = 50

distribute the ten to the other side by substracting

2.5x = 50-10

2.5x = 40

Now divide 2.5 on both sides

2.5x/2.5 = 40/2.5

x = 16

Answer:

first of al to calm and study but not to late so he could sleep well

Step-by-step explanation:

Answer:

He should go to bed early

Step-by-step explanation:

Why? Because If he goes to bed early he can wake up earlier to study.

Answer:

36.2%

Step-by-step explanation:

34 miles a day times 100 divided by 94

34×100 = 36.2

94

Answer:

Angle C = 62.90°

Step-by-step explanation:

As given,

The perpendicular = 86

        Base = 44

As, we know that

tan(C) = [tex]\frac{Perpendicular}{Base} = \frac{86}{44} = 1.9545[/tex]

⇒C = [tex]tan^{-1}[/tex](1.9545) = 62.90°

∴ we get

Angle C = 62.90°

The graph is as follows :

Answer:

5

Step-by-step explanation:

35=7x

x=35/7 you will divide 7 to 35 and it equals 5

Answer:

Step-by-step explanation:

Hope this helps :D

Answer:

[tex]y=\dfrac{3}{4}x+15[/tex]

Step-by-step explanation:

Given that,

A line goes through the point (-8,9), and has a slope of 3/4.

We need to express in the form of Ax+B for this line.

We have, m = 3/4

So,

[tex]y=\dfrac{3}{4}x+B[/tex]

Put y = 9 and x = -8 in the above equation.

[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]

So,

[tex]y=\dfrac{3}{4}x+15[/tex]

It is the required equation of the line.

7b + 8b² + 3 + y + 2b + 2y + 2 =

[tex] \tt \dashrightarrow 7b + 8b^2 + 3 + y + 2b + 2y + 2 [/tex]

[tex] \tt \dashrightarrow 8b^2 + 7b + 2b + y + 2y + 2 + 3[/tex]

[tex] \tt \dashrightarrow 8b^2 + 9b + 3y + 5[/tex]

Hence, answer is 8b² + 9b + 3y + 5.

So, correct option is 4th one.

Answer:

[tex] {x}^{2} - 25[/tex]

Step-by-step explanation:

[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]

Answer:

x²-25

Step-by-step explanation:

To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):

(x + 5)(x – 5)

x(x-5)+5(x-5)

x²-5x+5x-25

x²-25

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL only if their two corresponding sides are proportional and one angle is also equal, so option 1 is correct.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangles GHI and JKL are similar, Δ GHI ≈ Δ JKL,

The condition for the similarity of the triangle are shown below,

Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.

Thus, the sides have to be proportional.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

Answer:

Perimeter of triangle = 14.82 approx.

Step-by-step explanation:

Given:

D(5, 6)

E (10, 9)

F(7, 11)

Find:

Perimeter of triangle

Computation:

Distance = √(x1-x2)² + (y1-y2)²

Perimeter of triangle = DE + EF + FD

Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²

Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25

Perimeter of triangle = √34 + √13 + √29

Perimeter of triangle = 5.83 + 3.6 + 5.3851

Perimeter of triangle = 14.8151

Perimeter of triangle = 14.82 approx.

Answer:

$9

Step-by-step explanation:

15% is equal to 15/100

the word "of" means multiplication

15% of $60 is like saying:

15/100 * $60 = $9

Answer:

2t+5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

20 and donominator 5 cancel out

4*3=12

Answer: 12

Step-by-step explanatio

Answer:

x= -6

Step-by-step explanation:

5.(x+3) = 2x-3

5x+15=2x-3

5x-2x+15=-3

5x-2x=-3-15

3x=-3-15

3x=-18

x=-6

Step-by-step explanation:

5(X+3) =2X_3

Expand the brackets

5X + 15 = 2X _ 3

CLT(Collect like terms)

5X_2X= _3 _ 15

3X = _ 18

DBS( Divide both sides) by 3

3X/ 3 = _18 / 3

X = _9

Step-by-step explanation:

multiplying by 0.25 is same as find the 1/4 of a number. it can also be said the number is reduced by 75% of itself or number is reduced by 3/4th of itself.

For example let the number be 100.

0.25*100=25 also 100/4=25 or 100-0.75*100= 25 or, 100-(3/4*100)= 25

Answer:

1000 boys

Step-by-step explanation:

The ratio of the number of boys to girls is 4:5.

Every time you multiply 4 and 5 by the same whole number, you get a possible number of boys and girls in the same ratio.

There may be

4 boys and 5 girls, or

8 boys and 10 girls (multiplying 4 and 5 by 2), or

12 boys and 15 girls (multiplying 4 and 5 by 3), or

400 boys and 500 girls (multiplying 4 and 5 by 100),

but all these numbers are too low for there to be a difference of 250 between the numbers of boys and girls. Since we don't know the numbers of boys and girls, but know the ratio is 4:5, then we know that the ratio is also 4x:5x, by multiplying both numbers of boys and girls in the ratio by x.

There are 250 more girls than boys, so

5x - 4x = 250

x = 250

The number of boys is 4x.

4(250) = 1000

Answer: 1000 boys

Answer / Step-by-step explanation:

4 * (2 + 3) - 12

To get our final answer, we need to follow PEMDAS, which is :

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.

(2 + 3) fits this description, therefore we add them together :

4 * 5 - 12

There are no more parenthesis and also no more exponents, so move onto multiplying.

4 * 5 - 12

20 - 12

Now subtract :

8

Answer:

Each friend ate 4 tacos.

Step-by-step explanation:

"4 of his friends ate s tacos" is unclear. I assume it should be

"4 of his friends ate s tacos each."

total tacos = 2 + 4s = 18

4s = 16

s = 4

His four friends ate a total of 16 tacos, each friend eating 4 tacos.

Ricky's reason, i.e., that 6s = 18, is incorrect.

6s = 4s+2s, where 4s is what his friends ate in total.

That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.

Step-by-step explanation:

[tex]4 \\ {x}^{2} = {16}^{2} + {14}^{2} \\ {x}^{2} = 256 + 196 \\ {x}^{2} = 452 = 2 \sqrt{113} = 21.26[/tex]

[tex]5 \\ {x}^{2} = {8}^{2} + {15}^{2} \\ {x}^{2} = 64 + 225 \\ {x}^{2} = 289 \\ x = 17[/tex]

Answer:

35/8

Step-by-step explanation:

4×8= 32 plus the 3/8 equals 35/8

hope it helps

Answer:

17

Step-by-step explanation:

If x equals 5, then you just do 2(5) + 7.

2×5=10 10+7=17