Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.

Answer:

3  2/5

Step-by-step explanation:

17/5

How many times does 5 go into 15

5*3 =15   3 times

17-15 =2  so there is 2 left over.  This goes over the denominator

3  2/5

Answer:

Step-by-step explanation:

[tex]17/5 = 17 \div 5 = 3\:remainder\: 2\\\\= 3\frac{2}{5}[/tex]

Answer:

A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable.

Step-by-step explanation:

i think this is the right that you are looking for

hope this will help :)

Answer:

(5.4, 2.7)

Step-by-step explanation:

The coordinates of the point 7/10 of the way from A to B is given by the relation;

(x₁ + m×(x₂ - x₁), y₁ + m×(y₂ - y₁))

Where the coordinate of point A is (-3, -5) and the coordinates of the point B is (9, 6) we have;

x₁  = -3

m = 7/10

x₂ = 9

y₁ = -5

y₂ = 6

Substituting the values into the above equation gives;

-3 + 7/10 × (9 - (-3)), -5 + 7/10 × (6 - (-5)) = (5.4, 2.7)

The coordinate of the point P, 7/10 from A is (5.4, 2.7)

We check the length of the point from A to B to give;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] =

[tex]l_{AB} = \sqrt{\left (6-(-5) \right )^{2}+\left (9-(-5) \right )^{2}} = \sqrt{265}[/tex]

the length of the point from A to B gives

[tex]l_{AB} = \sqrt{\left (2.7-(-5) \right )^{2}+\left (5.4-(-5) \right )^{2}} = \dfrac{7}{10} \times \sqrt{265}[/tex]

The coordinate of the point 7/10 of the way from A to B are (5.4, 2.7).

Answer:

When x = 0, then y = -2

When y = 0, then x = 4

Step-by-step explanation:

We are given with the following equation;

x - 2y = 4

Now, we have to find the respective values of x and y for each value of x = 0 and y = 0.

Firstly, putting the value of x = 0;

x - 2y = 4

0 - 2y = 4

-2y = 4

y = [tex]\frac{4}{-2}[/tex]  = -2

This means that when x = 0, then y = -2.

Similarly, putting the value of y = 0;

x - 2y = 4

[tex]x-(2\times 0)=4[/tex]

x - 0 = 4

x = 4

This means that when y = 0, then x = 4.

Answer:

0.3

Step-by-step explanation:

Answer:

The equation that can be used to determine m, the number of minutes it will take the helicopter to reach the  hospital is [tex]172 \times (\frac{m}{60} ) = 80[/tex].

Step-by-step explanation:

We are given that a medical rescue helicopter is flying at an average speed of 172 miles per hour toward its base hospital. At 2:42 p.m., the helicopter is 80 miles from the hospital.

As we know that the Distance-Speed-Time formula is given by;

                           [tex]\text{Distance} = \text{Speed}\times \text{Time}[/tex]

Here, Distance = 80 miles

          Speed = 172 miles per hour

          Time = m (the number of minutes)

Firstly, as we can see that the speed is in miles per hour but the time is in minutes, so we will convert the time in hours, i,e;

           Time = [tex]\frac{\text{m}}{60} \text{ (in hours)}[/tex]

So,  [tex]\text{Distance} = \text{Speed}\times \text{Time}[/tex]

       [tex]80 = 172 \times (\frac{\text{m}}{60})[/tex]

       [tex]\text{m} = \frac{80 \times 60}{172}[/tex]

       m = 27.91 ≈ 28 minutes.

Hence, it will take 28 minutes for the helicopter to reach the  hospital.

Answer:

d. 4, 5, and 6  

Step-by-step explanation:

The sum of the lengths of the two shorter sides must be greater than that of the longest side.

4 + 5 > 6

a. is wrong. 10 + 12 ≯ 25.

b. is wrong. 5 + 6 ≯ 12.

c. is wrong. 2 + 2 ≯ 4

Answer:

he can make 27 cookies.

Step-by-step explanation:

9×2 is 18

9×3 is 27

Answer:

27 cookies

Step-by-step explanation:

First find how many cookies one cup of flour can make:

18/2

9 cookies per one cup of flour.

Now find how many cookies three cups of flour can make:

9 cookies = 1 cup of flour

? = 3 cups of flour

9 × 3 = 27

Therefore:

3 cups of flour can make 27 cookies.

Answer:

The answer is 21 people

Answer:

[tex]\huge\boxed{12 \ People}[/tex]

Step-by-step explanation:

According to the ranges in Histogram:

People who took 4-6 hours to finish = 12 people.

Answer:

Step-by-step explanation:

Zeros are x-axis intercepts therefore y=0, so it's always (x, 0)

{For given function:

(x - 3)² - 16 = 0

(x - 3)² = 16

x - 3 = 4    or    x - 3 = -4

x = 7        or       x = -1

Zeros:  (7, 0) and (-1, 0)}

Answer:

C. 4

Step-by-step explanation:

This is just a common ratio.  These two triangles are alike, just that one is smaller than the other.  You can see that one of the sides of the big traingle is 10.  The same side of the smaller triangle is 5.  That means the big traingle's side is twice as big as the small circle's.  

10 divided by 5= 2

If the big triangle's side got divided by 2 to get the smaller triangle's side. So,  that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.  

8 divided by 2= x

8 divided by 2= 4, so x= 4.

This is the ratio:

8:10 to x:5

As you can see the 10 got divided by 2 to get the 5.  So 8 must also get divided by 2, which equals 4.

Answer:

Brainliest!

Step-by-step explanation:

you know -9/3 = -3

10-3 = 7

so the answer is 7

Answer:

1. The equation that represent the distance (d) that a person can run in t hours is: d = 4t

2. The equation is: c = $0.98(20)

3. The equation is: L = 18(5)

Step-by-step explanation:

1. The variable d represents the distance over time, and t represents the hour in the equation so if you want to find the distance over time, you would say distance per hour. The per means to multiply, so every distance is equal to 4 miles per hour..

2. If the teacher wants to find out how much she will have to pay for 20 chocolate bar, she has to substitute 20 into the equation to replace b, which means bar. So the equation would be: total cost (c) = $0.98 × chocolate bars (b). Once substituted, the equation will be c = $0.98(20).

3. The problem said "mows 18 lawns per day" and "mow in 5 days", that means that you substitute 5 into the equation to replace the d in days, since you are multiplying 5 × 18.. Your new equation will be: L = 18(5), Total Lawns = 18 (lawns) per 5 (days).

Answer:

Step-by-step explanation:

9•8 = 72

x² = 288÷72

x² = 4    ⇒   x = 2

Answer:

Jordan lives 18 miles away from the store

Step-by-step explanation:

Distance=speed × time

Where,

d= distance

s= speed

t= time

Total driving time takes half an hour

Distance=speed × time

time=Distance/speed

t=1.5

Speed 1=30 mph

Speed 2:=20 mph

t=d/s1 + d/s2

1.5=d/30 + d/20

1.5=20d + 30d / 600

1.5=50d/600

Cross product

1.5×600=50d

900=50d

Divide both sides by 50

900/50=d

18=d

Therefore,

d=18 miles

Jordan lives 18 miles away from the store

Answer:

C. 1232

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·21+2·π·72=1232.

Answer:

The answer is 1232cm^2

Step-by-step explanation:

Formula for total surface area of a cylinder is=2[tex]\pi[/tex]r²+2[tex]\pi[/tex]rh

radius=7 cm

height=21 cm

∴TSA= 2 x 3.14 x 7² + 2 x 3.14 x 7 x 21

TSA= 2 x 3.14 x 49 + 2 x 3.14 x 7 x 21

TSA=1232cm².

You can also use 22/7 for pile/[tex]\pi[/tex] instead of 3.14.

It's your choice.

Thanks.

Answer:

[tex]\Huge \boxed{{f(-4)=-5}}[/tex]

Step-by-step explanation:

The function f(x) is given.

f(x) = 2x + 3

f(-4)

The input for the function f(x) is -4.

x is the input value.

x = -4

Replace x with -4.

f(-4) = 2(-4) + 3

Solve for the brackets.

f(-4) = -8 + 3

Evaluate.

f(-4) = -5

Answer: f(-4) = -5

Step-by-step explanation: Here we're given the function

f(x) = 2x + 3 and we're asked to find f(-4).

In other words, if we put a x into our function, we get a 2x + 3 out.

So what happens when we put a -4 into the function?

Well if we put a -4 into the function, that's f(-4), we get a 2(-4) + 3 out.

Now all we have to do is simplify on the right side.

2(-4) is -8 so we have -8 + 3 which is -5.

So f(-4) is -5.

Answer: The first one is 1/2f The second one is 8/f

Step-by-step explanation: You're welcome im 99% sure about this.

Answer:

Yes

Step-by-step explanation:

Let the numbers be p q r such that p>q>r

So p + q + r = 3q

2q = p+ r

And q< p but q> c,

So by Solving this would give

q= (p+ r)/2

so q is the mean of p & r.

Since the only other number that fits is q,

Then q is the mean of the numbers p,q,r

As so q is also the median of this set

Thus proving that the mean is the same as the median.

Answer:

BCA

Step-by-step explanation:

Explanation:

The smallest angle is always opposite the smallest side of a triangle. The largest angle is always opposite the largest side.  

Side AC is the shortest, so angle B is the smallest.

Side BC is the longest, so angle A is the largest

Angle C must be between angles B and A.

Answer:  gal / min

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The radius is the distance from the center of the circle to any point on the circle. So it  is 1 - 0 = 1,

Answer:

C) 212.53

Step-by-step explanation:

3x60=180 (3 minutes is 180 seconds)

180+32.53=212.53 seconds

Answer:

x - y = 118

Step-by-step explanation:

Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°

Since JOK is a straight line then

∠ JOP + ∠ POQ + ∠ QOK = 180 , that is

76 + 90 + y = 180

166 + y = 180 ( subtract 166 from both sides )

y = 14

Since MON is a straight line then

∠ MOK + ∠ KOQ + ∠ QON = 180, that is

x + 14 + 34 = 180

x + 48 = 180 ( subtract 48 from both sides )

x = 132

Thus

x - y = 132 - 14 = 118

Answer:

15/16.

Step-by-step explanation:

2 1/2 = 5/2 and 2 2/3 = 8/3 so we have:

5/2  /  8/3      Invert the 8.3 and multiply:

= 5/2 * 3/8

=  15/16.

Answer:

The answer is

Step-by-step explanation:

To solve the expression convert the mixed number to an improper fraction

That's

So we now have

To solve this change the division sign to multiplication sign and reverse the second fraction

That's

Multiply

We have the final answer as

Hope this helps you

Answer:

After factorizing the given polynomial we get 6x^2 (x+6)(x-2)

Step-by-step explanation:

Given Polynomial:  

6x^4+24x^3−72x^2

We need to completely factorize the polynomial.

Consider,

6x^4+24x^3−72x^2

GCF = 6x^2, By taking it common out

= 6x^2 (x^2+4x-12)

= 6x^2 (x^2+6x-2x-12)

= 6x^2 (x(x+6)-2(x+6))

= 6x^2 (x+6)(x-2)

Therefore, After factorizing the given polynomial we get 6x² ( x + 6 ) ( x - 2 )

Please mark me Brainliest.

Answer:

Width=7

Length=21

Step-by-step explanation:

Width=x

length=3x

x+x+3x+3x=56

8x=56

x=7

width = x = 7

length = 3x = 21

Answer:

Length = 21 and Width = 7

Step-by-step explanation:

Length (L)= 3x width (W)

L = 3W

Perimeter (P) = 56

Perimeter = 2L + 2W

56 = 2(3W) + 2W

56 = 6W + 2W

56 = 8W

W = 56/8

W = 7

L = 3W

L = 3(7)

L = 21

therefore Length = 21 and Width = 7

Answer - Blue; x > 2 and x ≤ -3

Ok so one most to the left shows an arrow going "lesser" and starting at -3. Since the dot covers -3, that means it is equal to or less than -3.

So the on most to the right starts at 2 and the arrow is point "greater"

The circle is hollow, meaning is does not include 2. So that means it's greater than 2.

♡  Hope this helped! ♡

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