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Interim Checkpoint: Grade 7 Checkpoint 4 - Part 1
Write an equation that you can use to solve for X.
Enter your answer in the box.
100°
60

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.

The center of the circle is at x axis (*, 0), the equation could be:

(x - 6)² + (y - 0)² = 6²

(x - 6)² + y² = 36

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

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The sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have:

Decagon, in which the number of sides is 10

The formula for the sum of the interior angles in n number of polygon:

Sum = 180(n - 2)

Plug n = 10

Sum = 180(10-2)

Sum = 1440

Each interior angle = 1440/10 = 144 degree

Each exterior angle = 180 – 144 = 36 degree

The sum of the exterior angles = 36×10 = 360 degree

Similarly, we can find any angle measure for interior or exterior by using the formula:

Sum = 180(n—2)

Where n is the number of sides.

Thus, the sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.

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Answer:

First choice top-down

Step-by-step explanation:

The Similarity Theorem Side-Angle-Side it can be checked here to see what triangles are similar.

All 3 triangles have 2 congruent sides so the triangles are all isosceles.

The base angles of isosceles triangles are congruent so knowing this and that the sum of angles in a triangle is 180° we can calculate the measure of all angles.

180-20 = 160; 160/2 = 80°

180-30 = 150;  150/2 = 75°

Now we can conclude that  Δ JLK is not similar with Δ MNO ≈ ΔPRQ

Answer:

the value for the expression for below is (4^2) ^1/4 is 2

Answer:

2

Step-by-step explanation:

[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]

  [tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]

Answer:

The slope of this line is 1/5

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

Answer:

C. 7x + 45

Step-by-step explanation:

To start answering this question, let's first distribute the 6 * ( x + 7 ) so that we can add like terms to simplify.

So let's multiply the 6 out to the ( x + 7 ) to get ( 6x + 42 ).

Now the complete expression reads: 6x + 42 + ( x + 3 )

With this, we can add all the like terms( 6x and x, and 42 and 3) together.

So we end up with 6x + x + 42 + 3 = 7x + 45

So the correct answer is C. 7x + 45

Answer:

x = 7

Step-by-step explanation:

From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.

===============================================================

Solving :

⇒ (x)² + (24)² = (x + 18)²

⇒ x² + 576 = x² + 36x + 324

⇒ 36x = 576 - 324

⇒ 36x = 252

⇒ x = 252/36

⇒ x = 7

Apply Pythagorean theorem

The weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

A small size bottle of water which has the weighs 5/8 pound. One carton has total 30  small bottles of water.

Let the weight in pounds do the 30 small water bottles has is x. Thus,

[tex]x=\dfrac{5}{8}\times30\\x=\dfrac{5}{4}\times15\\x=\dfrac{75}{4}\rm\; pounds[/tex]

Thus, the weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.

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Answer:

2 real solutions

Step-by-step explanation:

Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.

Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.

Answer:

9*9*3.14= 254.34

Area= 3.14 (pi)*radius suqare

Step-by-step explanation:

:)

Answer:

3 hours or 180 minutes

Step-by-step explanation:

This one should be an easy one

First, lets convert everything to units

35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.

Hope it helps :)

Step-by-step explanation:

if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.

a probability is always

desired cases / possible cases

so, if we pick a single student randomly, how many possible options do we have ?

we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).

therefore, our possible cases to pick a student are 22.

now, how many of these 22 students represent our desired cases ?

male, who does not have an A : 9

so, the probability to pick a student who is male and does not have an A is

9/22 = 0.409090909...

Answer:

11

Step-by-step explanation:

Answer:

48 + 2x = 120

x = length od long side.

Answer:

if you want in terms of π, then 3π

if you want it without π, then 9.42

Step-by-step explanation:

plug into formula

3= diameter

c=πd

c=π*3

3π or

π=3.14

so 3.14*3, which is 9.42

Answer:

3π if in terms of pi or 9.42 if π= 3.14

Step-by-step explanation:

Answer:

B. 3 by 12

Step-by-step explanation:

[tex]x(4x) = 36[/tex]

[tex]4 {x}^{2} = 36[/tex]

[tex] {x}^{2} = 9[/tex]

[tex]x = 3[/tex]

[tex]4x = 12[/tex]

So the length is 12 inches, and the width is 3 inches.

Answer:

312 ft²

Step-by-step explanation:

Area of the garden = Length x Width

Area of the garden = 30 x 40 = 1200ft²

Length of the garden and path = Length of the garden + 3 ft on both sides

Length of the garden and path = 30 + 3 + 3 = 36 ft

Width of the garden and path = Width of the garden + 2 ft on both side

Width of the garden and path = 40 + 3 + 3 = 46 ft

Area of the garden and path = Length x Width

Area of the garden and path = 36 x 46 = 1512 ft²

Area of the path = Area of the garden and path - Area of the garden

Area of the path = 1512 - 1200 = 312 ft²

Answer: 312 ft²

Answer:

Step-by-step explanation:

21÷7=3

3 yards per week

hope this helps

Answer:

3 yards per day

Step-by-step explanation:

Given :

To Remember :

Solving :

Answer:

Answer is in attachment

Mark brainliest pls :)

Answer:

a

Step-by-step explanation:

Answer:97.94

Step-by-step explanation:

11.8*8.3 = 97.94

The eccentricity of the conic section that is graphed is C. One.

It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.

In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.

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Answer:

The answer is B. Between 0 and 1

Step-by-step explanation:

Answer:

1197/2

598 R 1

598½

Step-by-step explanation:

use division method

Answer:

2 divided by 1197 equals 598 with a remainder of 1.

Step-by-step explanation:

There is also another way to do divison if it is confusing for others.

If you multiply 598 and 2 that equals 1196. That is the closest number that can go into 2 598 times. So what i am trying to say is that since the problem is 2 divided by 1197 you have to figure out what number you need to multiply that can go into two. So 2 divided by what equals 1197 OR 2 divided by what number can equal 1197 or any number that is close to 1197. So 598 times 2 equals 1196. With a remainder of 1

I hope this helps because this strategy worked for me when i first learned division so i hope this helps as well :)

Step-by-step explanation:

[tex] = ( \frac{4}{9} {)}^{2} \\ [/tex]

[tex] = \frac{ {4}^{2} }{ {9}^{2} } \\ [/tex]

[tex] = \frac{16}{81} \\ [/tex]

The required power 2 of 4/9 in fraction form is 16/81.

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

The given fraction is,

(4/9)

To find the power 2 of fraction 4/9,

Use mathematical operations,

4/9 to the power 2 = (4/9)²

= (4/9)x(4/9)

= 16 / 81

The power 2 of 4/9 as a fraction is 16/81.

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Answer:

............ .. .......

Answer:

14.1 mm

Given:

∠BAC = 90° (angle A should be 90°)

AB = 4.4mm

BC = 14.8mm

See the diagram given below.

Solving using Pythagoras Theorem: a² + b² = c²

x² + 4.4² = 14.8²

x = 14.8² -  4.4²

x = 219.04 - 19.36

x = 199.68

x = √199.68

x = 14.13 ≈ 14.1 mm (rounded to 1 decimal place)

Answer:

1 true

2 false

3 false

4 true