Prove that the medians to the legs of an isosceles triangle are congruent
What rule did you use to prove triangles congruent?

AAA
ASA, SAA
Cannot be determined
SAS
SSS

Answer:

8 weeks

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

the answers is 9/4

simplified its 2 1/4 in mixed number form

decimal is 2.25

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".

Hope helps

20 packages

Step-by-step explanation:

Divide 156 by 8 and you get 19.5. Angie needs 156 candles, so you round 19.5 to 20.

Answer: 53.33

Step-by-step explanation:

60 + 9x =540

540-60 = 480

480 = 9x

53.33 = x

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

B.   128

Step-by-step explanation:

Answer:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

h²=100²+80²

h²=10000+6400

h=√16400=128.06m

128m is the required answer.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.

Answer:

It's a A. × = -5 and always there are no restrictions on the domain

The root of √(4) = +2 only (not -2).

What are Roots of a Equation ?

The roots of a quadratic equation are the values of the variable that satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation.

If one comes across the equation(x^2) = 4, then x = +2 or -2 but By mathematical convention, the "√x" should be read as "the non-negative root of x" (so √0 = 0, but in all other cases √x is the positive root of x). Like all math rules, this applies regardless of how complicated the expression under the root sign.

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Answer:

101

Step-by-step explanation:

Answer:

1st, 2nd, and 3rd models are correct

Step-by-step explanation:

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Answer:

Step-by-step explanation:

A right triangle has a right angle in it. The base and height are then the sides that make the right angle. You can change the 2.5 to a fraction 5/2 or leave it a decimal and just use your calculator. Once the base and height are drawn, you don't have to calculate the hypotenuse (the longest side) just connect the third side. See image. Also, def do this on graph paper it's easier. The new triangle should be bigger than the original this time bc 2.5 is bigger than 1 and so it makes your shape bigger.

Answer:

D

Step-by-step explanation:

A has √16 which is 4

B has -(√64) which is -(8)

C has -(√16) which is -(4)

D doesn't have any roots that are integers.

P.S Memorizing the times table would help a lot in algebra*

1800 meters of fencing is required to enclose a field.

Given that, the dimension of the field is 300 meters by 600 meters.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Now, the perimeter of the rectangular field=2(600+300)

=2×900=1800 meters.

Therefore, 1800 meters of fencing is required to enclose a field.

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Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Step-by-step explanation:

B. not a rational number

Answer:

21 Jars

Step-by-step explanation: Divide 8 by 0.38 (38/100ths) and the answer is 21.052631578947368421052631578947 but you just round to 21.

Answer:

103.34 degrees

Step-by-step explanation:

The sum of angles in a triangle always equals 180 degrees. In other words, 40+(2x-30)+(x+20) = 180. Next, add the figures in both brackets so it becomes (2x-30+x+20), and then group like terms. (2x+x-30-20) which is 3x -50, because -30-20 is -50. The whole equation becomes 40+3x-50 = 180.

Group like terms again, so it becomes 30-50+3x = 180 which is -20+3x=180. Group like terms again but move the -20 to the side of the 180, and since it crosses the equal to sign, the - becomes + so it's 3x=180+20, resulting in 3x=200. Now to make x stand alone, we divide both sides by 3. 3x/3 is x and 200/3 is 66.6 recurring or 66.67. Now we know that x = 66.67, we substitute it in the formula for the angle at B. It becomes (2 times 66.67-30) which is 133.34 - 30, which becomes 103.34 as the answer. If told to round, it becomes 103 degrees.

Answer:

A opens upward

Step-by-step explanation:

Answer:

(From left to right) 2  5  8

Step-by-step explanation:

1. Find the gap (between the first and last terms) 11 - (-1) = 12

2. Divide by the number of times the linear term is added: 12/4=3

3. Use the common difference to find the missing values.

Answer:

Step-by-step explanation:

FIRST, plug in.

h=12           r=4

V = 3.14 (4)^2 (12)

V = 3.14 (16) (12)

V =  50.24 (12)

V = 602.88 in.^3

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The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Answer:

(x - 2)(x + 4)

Step-by-step explanation:

What are the factors of: f(x) = \(x ^2 + 2x - 8\)

\(x ^2 + 2x - 8\)

a = 1

b =  2

c = -8

Find two numbers that add to 2 and multiply to -8:

-2 + 4 = 2

-2(4) = -8

factors are:

(x - 2)(x + 4)