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3 years ago

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Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Prove: m∠6=70∘

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

Angle Bisector Theorem
Sum of Adjacent Angles
Co-interior angle property
Additive law

Step-by-step explanation:

Note: Diagram for Question is attached

1. Angle Bisector Theorem

BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.

2. Sum of Adjacent Angles

Two adjacent angles can be added together to find the larger angle that is formed by the two angles.

3. Co-interior angle property

Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)

4. Additive law

By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.

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6/30=3/15 true or false

Dennis_Churaev [7]

Answer: True

Step-by-step explanation: This is because they are equivalent fractions

Hope this helps and have a nice day

4 0

2 years ago

Read 2 more answers

Team tool bella canoed 15 3/4 miles in 5/4 hours. What was their average rate of speed in mph

luda_lava [24]

Average speed is 12.6 miles per hour

<em><u>Solution:</u></em>

Given that team tool bella canoed $15\frac{3}{4}$ miles in $\frac{5}{4}$ hours

To find: average rate of speed in miles per hour

From given information,

$distance = 15\frac{3}{4} \text{ miles } = \frac{15 \times 4+3}{4} = \frac{63}{4} \text{ miles}$

$time = \frac{5}{4} \text{ hours}$

To find the speed we use the below formula,

$speed = \frac{distance}{time}$

Substituting the given values we get,

$speed = \frac{\frac{63}{4}}{\frac{5}{4}}\\\\speed = \frac{63}{4} \times \frac{4}{5} = \frac{63}{5} = 12.6$

Thus average speed is 12.6 miles per hour

7 0

3 years ago

Determine and state the coordinates of the center and the length of the radius of the

zmey [24]

we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y = 63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0

2 years ago

How many liters is 250,000 cm3?

eimsori [14]

Once cubic centimeter = 1 milleter

1 mL = 1000 L

250,000 ÷ 1000 = 250

There are 250 liters in 250,000 cubic centimeters.

3 0

2 years ago

Read 2 more answers

Carmen is mailing packages. Each small package costs her $2.60 to send. Each large package costs her $3.40. How much will it cos

Fantom [35]

Answer:

By themselves $18.20, $13.60, and together $31.80

Step-by-step explanation:

$2.60 multiplied by 7 equals $18.20

$3.40 multiplied by 4 equals $13.60

Together this equals $31.80

6 0

2 years ago