Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at negative 3, 1. H is at negative 1, 1. I is at negative 2, 3. J is at 3, 3. K is at 1, 3. L is at 2, 1. Angle I and L are shown as congruent. Which step could help her determine if ΔGHI ≅ ΔJKL by SAS? (5 points) segment IG ≅ segment LJ segment GH ≅ segment KL ∠G ≅ ∠ K ∠L ≅ ∠ H

Answer:

x = 3

Step-by-step explanation:

[tex](8x-8)^{3/2}=64[/tex]

Multiply both sides by the exponent 2/3.

[tex]8x - 8 = 64^{2/3}[/tex]

Solve for the exponent.

[tex]8x-8=16[/tex]

Add 8 to both sides.

[tex]8x = 16+8[/tex]

[tex]8x=24[/tex]

Divide 8 into both sides.

[tex]x=24/8[/tex]

[tex]x=3[/tex]

Answer:

the answer is A

Step-by-step explanation:

Answer: 100km/hr

Step-by-step explanation:

From the question, we are told that Zia was driving his truck on the super highway and his speed was recorded by the motorway camera between 6:00am to 8:30am and that he covered a distance of 250km during this time.

Average speed is calculated as distance taken divided by the time used. The time used in this question will be: 8.30am - 6:00am = 2.5 hours.

Speed = Distance/Time

= 250/2.5

= 100km/hour

Answer:

y=20x + 40x

Step-by-step explanation:

Answer:

y=20x+40

Step-by-step explanation:

y represents how many gallons of water he used

x represents the amount of days

(example) if he watered his plants for 2 days:

y=20(2)+40

y=40+40

y=80

if he watered his plants for 2 days he would have used 80 gallons of water.

if this helped please rate, thanks, and mark brainliest :)

Answer:

  6

Step-by-step explanation:

We want to factor the trinomial into a product of binomials. In general, we have ...

  (x +a)(x +b) = x² +(a+b)x +ab

So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:

  12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The values of k are the sums of these factors of 12, so are

  1+12 = 13

  2+6 = 8

  3+4 = 7

  -1-12 = -13

  -2-6 = -8

  -3-4 = -7

There are 6 possible integer values of k that will make the trinomial factorable in integers:

  k ∈ {-13, -8, -7, 7, 8, 13}

Answer:

5

Step-by-step explanation:

Fifteen years from now Ravi's age will be four times his present age. What is Ravi's present age? So, Ravi′s present age is 5 years.

Answer: 1/1x3+1/3x5 = 14/3 or 4  2/3

Step-by-step explanation:

And please, next time give the problem fully.

Answer:

a. 120 grams.

b. 270 ml.

Step-by-step explanation:

a. A fish pie for 6 will need to use 180 grams of flour. That means that a fish pie for 1 will use 180 / 6 = 30 grams of flour. Claire needs to make a fish pie for 4, so she will use 30 * 4 = 120 grams of flour.

b. A fish pie for 6 people requires 180 ml milk. That means that a fish pie for 1 will use 180 / 6 = 30 millilitres of milk. Ian needs to make a fish pie for 9, so he will use 30 * 9 = 270 ml of milk.

Hope this helps!

Answer:

Not directly proportional

Yes, The area of a square and the length of its side is directly proportional to each other.

A statement is to justify that the area of a square and the length of its side are directly proportional quantities?

A Square is 4 sides geometric shape that has an equal length of sides and always has 90° at its vertices.

Here the area of square = a^2
Where a is the side of the square,
understand by, either way, let we have two square 1 with side 1cm and other with side 2cm.
Now the area of both the squares is 1 and 4 square cm. So area will increase if the length of this side increases or vice versa.

Thus, Yes, The area of a square and the length of its side is directly proportional to each other.

Learn more about squares here:
https://brainly.com/question/14198272

#SPJ2

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

Answer:

D.

Step-by-step explanation:

= 14x + 10 is great than or equal to 9x + 15

= 14x is greater than or equal to 9x + 5

= 5x is greater than or equal to 5

= x is greater than or equal to 1

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

c. 2310 (1st pic)

circumference of circle = 2πr

44= 2 × 22/7 r

44 × 7 / (2 × 22) = r

7 = r

volume of cylinder = πr^2h

= 22/7 × (7)^2 ×15

= 2310

b. -2/x+3 (2nd pic)

(work attached)

a. 80° (3rd pic)

Total number of degrees is 180

180-(60+40)=80

c. 9 (5th pic)

(27^1/3)^2

3^2

=9

sorry i couldn't solve the 4th pic but I hope this helps!

please mark me brainliest!

Answer:

[tex] \sqrt{ {x}^{2} - 1 } [/tex]

Solution,

base=1

perpendicular=?

hypotenuse=X

now,

using Pythagoras theorem,

x^2=p^2+b^2

or, x^2=p^2+1^2

or,p^2=x^2-1

or, p=√x^2-1

tan theta=perpendicular/ base

tan theta =√x^2-1/1

tan theta=√x^2-1

z=tan theta

z=√x^2-1

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\sqrt{x^{2}-1}}[/tex].

Step-by-step explanation:

The tangent of theta means that you are trying to find opposite over adjacent.

You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.

The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].

When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]

That is [tex]\sqrt{x^{2}-1}}[/tex].

So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].

Hope this helps!

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

Answer:

12n + 5.50

Step-by-step explanation:

Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50

Answer:

y < 3x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

6x > 2y - 5

Adding 5 to both sides

=> 6x + 5 > 2y

=> 2y < 6x+5

Dividing both sides by 2

=> y < [tex]\frac{6x+5}{2}[/tex]

=> y < [tex]\frac{6x}{2} + \frac{5}{2}[/tex]

=> y < 3x + [tex]\frac{5}{2}[/tex]

This is the required slope intercept form in the form [tex]y = mx+b[/tex]

Answer:

1/4(1 - 3x)

Step-by-step explanation:

Step 1: Write out expression

1/4 - 3/4x

Step 2: Factor out GCF

1/4(1 - 3x)

Answer:

B. 1/4(1-3x)

Step-by-step explanation:

Answer: r+7 is irrational

Step-by-step explanation:

1) If r is irrational, that means that it goes on and on forever.

2) 7 is a rational number because it can be expressed as a quotient of 2        integers (7÷1=7)

3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.

Answer:

7

Step-by-step explanation:

Simply plug in 5 for x

y = (5 + 9)/(5 - 3)

y = 14/2

y = 7

Answer:

y=(5+9)÷(5-3)

y =14÷2

y=7

Answer:

x = 90°

Step-by-step explanation:

A // B

When two parallel lines are crossed by a transversal, the angles in matching corners are called corresponding angles and they are equal.

∠1 = ∠ 4

3x - 160 = x + 20

Add 160 to  both sides

3x - 160 + 160 = x + 20 + 160

3x = x + 180

Subtract x from both sides

3x - x = x -x +180

2x = 180

Divide both sides by 2

2x/2 = 180/2

x = 90

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form

with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus

[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]

Substitute this value into y

y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]

   = [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]

Since a > 1 then the vertex is a minimum, thus

minimum value = [tex]\frac{1}{6}[/tex] → A

Answer:

m = p/5 -10

m= (p-50)/5

Step-by-step explanation:

What we practically want to here is to make m the subject of the formula.

Start by opening the brackets

P = 5m + 50

P-50 = 5m

Divide through by 5

(P-50)/5 = m

P/5 -50/5 = m

P/5 -10 = m

The option that looks probable is C ; M = (P-50)/5

Answer:

D.) m=P−505

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the total number of employee to be equal to 12 temporary employee.

Number of women employee = 5 women

Number of men employee = 12 - 5 = 7 men

If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.

Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.

[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]

According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .

[tex]5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups[/tex]

Answer:

H = 3 handlers

There are 3 handlers in the show.

Step-by-step explanation:

Given;

Number of dogs in the show N = 18 dogs

Number of handler in the show H;

The number of dogs in the show was 6 times the number of handlers

N = 6H

H = N/6

Substituting the value of N;

H = 18/6

H = 3

There are 3 handlers in the show.

Answer:

H = 3 handlers

Step-by-step explanation:

Answer:

B. 2/6

Step-by-step explanation:

A fair ordinary dice has 6 sides.

The numbers 4 or 5 on the dice are 2 numbers out of 6 total numbers.

2/6

Answer:

B. 2/6

Step-by-step explanation:

A ordinary dice has 6 sides.

4 and 5 make 2 sides.

So the answer will be 2/6

Answer:

V =3408 pi units^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h

The radius is 12 and the height is 71

V = 1/3 pi (12)^2 *71

V =3408 pi units^3

Answer:

B

Step-by-step explanation:

Use the formula for the volume of a cone.

v = 1/3πr²h

r = 12

h = 71

v = 1/3π(12)²(71)

v = 1/3π(10224)

v = 3408π

Answer: 1.25 cups of flour each

Step-by-step explanation:

6.25 cups is for 5 batches of cookies. To find how much flour goes into each batch, divide 6.25 by 5.

6.25 / 5 = 1.25

Answer:

1.3 cups

Step-by-step explanation:

If 6.25 cups were used for 5 batches, then 1 batch will be 6.25 divided by 5 = 1.3 cups

Hope this helps

2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.