1. Show that the vertices A (7, 12) B (4, 7) and C (9, 10) of the triangle is an isosceles
triangle?
2. Show that the triangle whose vertices are A (6,1) B (10,9) and (6,7) is a right
angled triangle and find its area?​

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]

2) Definition of Linear Pair:

[tex]m\angle PRS+m\angle SRT=180[/tex]

3) Given:

[tex]m\angle PRS=2x+12[/tex]

4) Given:

[tex]\displaystyle m\angle SRT=6x+8[/tex]

5) Substitution Property:

[tex](2x+12)+(6x+8)=180[/tex]

6) Combine Like Terms:

[tex]8x+20=180[/tex]

7) Subtraction Property of Equality (subtract 20 from both sides):

[tex]8x=160[/tex]

8) Division Properety of Equality (divide both sides by 8):

[tex]x=20[/tex]

9) Given (this step is optional. You don’t have to include this):

[tex]m\angle PRS=2x+12[/tex]

10) Substitution:

[tex]\displaystyle m\angle PRS=2(20)+12[/tex]

11) Multiplication:

[tex]m\angle PRS=40+12[/tex]

12) Addition:

[tex]m\angle PRS=52[/tex]

Answer:

sorry i dont realy understand that

Step-by-step explanation:

Answer: B

Step-by-step explanation:

so for the slope to be parallel, it means it's the same slope as the given equation which is -5

using point slope, we can write a new equation

y -5 = -5(x+3)

y -5 = -5x-15

y = -5x-10

Answer:

No solution

Step-by-step explanation:

First we would have to see if anything has to be distributed and yes the 4 in the expression 4(x + 1) has to be distributed to the x and 1. So we would multiply the 4 by x and 1. Now we have 4x + 4 = 4x + 10. We have to get the x's on 1 side of the equation so we would do the inverse of one of the x's and we can only subtract. So we can subtract 4x on both sides. So now we have

4 = 10. That isn't a correct statement so there is no solution.

4 does not equal 10.

Answer:

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Answer:

75 Sweets

Step-by-step explanation:

To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.

Each child was given 75 grams of sweets as per linear equation when distributed.

A linear equation is an equation where the highest degree of the variable is one.

Given, there are a total of 675 grams of sweets.

There are a total of 9 children among which the sweets is to be distributed equally.

Therefore, each children will get sweets of

(675 ÷ 9) grams

= 75 grams.

Therefore, each child will get 75 grams of sweets when it is distributed equally.

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Answer:

15

Step-by-step explanation:

Since it goes 30 in 2 seconds, we need to divide 30 and 2 and end up with 15.

To make sure our answer is correct we know that 15 is one second, so we can add 15+15= which will give us 30, and will also land at 2

Brainliest pls

The speed of the scooter is 15 feet per second.

To calculate the speed of the scooter in feet per second, you can use the formula:

Speed = Distance / Time

The distance traveled by the scooter is 30 feet, and the time taken is 2 seconds.

Plugging these values into the formula, we get:

Speed = 30 feet / 2 seconds

Speed = 15 feet/second

Therefore, the speed of the scooter is 15 feet per second.

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Answer:

39.27

Step-by-step explanation:

Formula: PIEr^2/2

so 5 square which is 25.

then 25 times pie which is then divided by 2

39.27

Answer:

y= -3x/5

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept

m= rise/run = -3/5 (go from one point to the other on the graph)

y-intercept is (0,0)

Answer:

13

Step-by-step explanation:

-2(-2) - (-8) + 1

4 + 8 + 1 = 13

Answer:

13

Step-by-step explanation:

cause i did it and it was right

Answer:

Try to do it with mth way

Answer:

the answer to that is 1/4^2

Answer:

72

Step-by-step explanation:

I DIVIEDE 180 DIVIEDED BY $2.50=72

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

Answer:

Its D

Step-by-step explanation:

I took the test and got it right.

Step-by-step explanation:

(f.g)(_1)=f(6)

=8/6+2

=8/8

=1

The value of (f o g)(-1) is 1 if the function f(x) =  8/(x + 2) and g(x) = 4x² + 2 the answer is 1.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Two functions:

f(x) =  8/(x + 2)

g(x) = 4x² + 2

g(-1) = 4(-1)² + 2

g(-1) = 4 + 2

g(-1) = 6

f(g(-1)) = 8/(x + 2)

f(g(-1)) = 8/(6 + 2)

f(g(-1)) = 8/8

f(g(-1)) = 1

Thus, the value of (f o g)(-1) is 1 if the function f(x) =  8/(x + 2) and g(x) = 4x² + 2 the answer is 1.

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Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]

Let, time taken to cover 2.4 miles is t .

So,

[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]

Hence, this is the required solution.

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

Answer:

[tex] \frac{satisfied \: peaple}{total \: peaple} \times 100\%[/tex]

[tex] \frac{260}{1300} \times 100\% \\ = 19.23076923\%[/tex]

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]

Hence,

The value of x is 16

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Answer: -1.5x

Step-by-step explanation: Um, I think your explanation would be to subtract 5 on both sides which would be -3, and then divide by two on both sides which equals -1.5, and -1.5 equals A, and the final answer is -1.5x.

Hope it helps!!!!

Answer:

um.. ok    the answer is 10 remainder 2

Step-by-step explanation:

5 goes into 52

10 times

Answer:

10.4

Step-by-step explanation:

Answer:

Alice: 2184

Maggie:1794

Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out

Zeinab:1333 same with this one

Step-by-step explanation:

Answer:

is there free point. if is plz it shows nothing

Answer:

A.

Step-by-step explanation:

Answer:

A. 5 adult tickets and 15 children tickets

Step-by-step explanation:

Answer:

60 Tons

Step-by-step explanation:

36 divided by 6 equals 6. So that six is used for the for extra years

36+6+6+6+6

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A typical car releases 36 tonnes of carbon dioxide and six years.

Let 'x' be the amount of carbon dioxide.

At a constant rate, the number of tonnes of carbon dioxide released in 10 years will be given as,​

x / 10 = 36 / 6

Simplify the equation, then we have

x / 10 = 36 / 6

x / 10 = 6

x = 60 tons

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

More about the solution of the equation link is given below.

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Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

Hope this helps!

Answer:

y² - 2y - 4x + 9 = 0 (*)

a = 1    b = -2    c = -4x + 9

Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32

if (*) have the solutions => Δ ≥ 0

⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2

with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]

or y = [tex]1-2\sqrt{x-2}[/tex]

Step-by-step explanation:

Answer:

-115+20= -95 so, carmen is scuba diving 95 feet below surface level

Step-by-step explanation:

below surface level means negative

Answer:

The answer: - 95 DON'T FORGET THE NEGATIVE SIGN!

Step-by-step explanation: