All categories

3 years ago

45 girls and 30 boys ratio in the lowest terms

Mathematics

2 answers:

LenKa [72]3 years ago

7 0

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

leonid [27]3 years ago

6 0

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

You might be interested in

How do I construct bisectors, angles, & segments?

Doss [256]

Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

4 0

3 years ago

What is the value of x

STALIN [3.7K]

X=11, set 10x+5x+15=180
15x+15=180, subtract 15 from 180= 165, then divide 165 by 15

7 0

3 years ago

(x + 1)2 = 25 Answer ?!

Ilia_Sergeevich [38]

Answer:

x = 12

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Certain circle can be represented by the following equation.

kirill115 [55]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

8 0

3 years ago

Read 2 more answers

Vance wants to determine if an old photo frame is still rectangular. The height of the frame is

sveticcg [70]

Answer:

The old photo frame is still rectangular

Step-by-step explanation:

Rectangles

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

$d^2=a^2+b^2$

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

$10^2=6^2+8^2$

$100=36+64$

$100=100$

Since the condition is met, the old photo frame is still rectangular

4 0

3 years ago