What is the diameter of a circle with a circumference of 56 inches?

Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide

inn [45]

The height should be C.) 400 mm. Hope this helps!! <3

4 0

3 years ago

What is the factored form of x2 + 12x – 64?

Ket [755]

Answer:

The answer is

Step-by-step explanation:

x² + 12x - 64

To factorize the expression write 12x as a difference

That's

x² + 16x - 4x - 64

<u>Factor out x from the expression</u>

That's

x( x + 16) - 4x - 64

<u>Factor out - 4 from the expression</u>

That's

x( x + 16) - 4 ( x + 16)

<u>Factor out (x + 16) from the expression</u>

We have the final answer as

Hope this helps you

6 0

3 years ago

Which triangle can be drawn as it is described?

yawa3891 [41]

Answer:

An isosceles triangle with angles measuring 20° and 80°

Step-by-step explanation:

Verify each case

case A) Scalene triangle with angles measuring 110° and 35°

Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle

case B) An obtuse triangle with sides measuring 5,10 and 15

we know that

Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so in this problem

$5+10> 15$ -----> is not true

therefore

with these measurements can not draw any triangle

case C) An isosceles triangle with angles measuring 20° and 80°

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem the third angle is (180-20°-80°=80°),

therefore

is an isosceles triangle and can be drawn as it is described

case D) An acute triangle with sides measuring 7,4 and 2

we know that

Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so in this problem

$4+2> 7$ -----> is not true

therefore

with these measurements can not draw any triangle

8 0

3 years ago

Answer this correctly please BRAINLIEST+HEART+5 STARS ko yung matinong answer

Ann [662]

Applying the triangle inequality theorem and the exterior angle theorem, we have:

1. m∠1 > m∠3

2. MI > IX

3. 3 < MX < 27

4. m∠4 = 115°

<h3>What is the Triangle Inequality Theorem?</h3>

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side of that triangle.

<h3>What is the Relationship of Sides to Interior Angles in a Triangle?</h3>

The longest side is opposite to the largest interior angle while the shortest side of the triangle is always directly opposite the shortest interior angle in that triangle.

<h3>What is the Exterior Angle Theorem?</h3>

The exterior angle theorem states that the sum of the opposite angles to an exterior angle in a triangle equals the measure of that exterior angle.

1. The angles of a triangle are relative to the length of their opposite sides. Therefore, if MI which is relative to ∠1 is 15 and IX which is relative to ∠3 is 12, it implies that m∠1 is greater than m∠3.

2. Given, m∠1 = 65° and is relative to side MI, and m∠3 = 50° and is relative to side IX, therefore, side MI is longer or greater than side IX.

3. Given, MI = 15; IX = 12, based on the triangle inequality theorem, the measure of MX would be determined as shown below:

15 - 12 < MX < 15 + 12

3 < MX < 27

4. Given, m∠2 = 65°; m∠3 = 50°. Based on the exterior angle theorem, we have:

m∠4 = m∠2 + m∠3

Substitute

m∠4 = 65 + 50

m∠4 = 115°

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

#SPJ1

5 0

2 years ago

Plz help me answer this question

Oksana_A [137]

Answer:

The answer to your question is distance = 3500000 km

Step-by-step explanation:

Data

Scale 1 : 500000

7 cm

Process

1.- To solve this problem use direct proportions or rule of three.

1 : 500 000 :: 7 : x

2.- Multiply the middle numbers and the result divide it by the edge.

x = (7 x 500000) / 1

Simplification

x = 3500000 km

7 0

3 years ago