Ask question

Ask question

All categories

3 years ago

9

To fully disprove a conjecture, one needs to find only ONE counterexample. True False

1 answer:

Trava [24]3 years ago

8 0

This question is true

You might be interested in

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

Darina [25.2K]

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.

4 0

3 years ago

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone d

kompoz [17]

Answer:

The function f(x) is represented by:

$f(x)=1500(0.97)^x$

Hence, a=1500 and b=0.97

Step-by-step explanation:

The patient currently has a bone density of 1,500 kg/mg^3.

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.

This means that the bone density that is remaining is:

100-3=97%

which is also represented as: 97%=97/100=0.97

Hence, the function f(x) that represents the bone density after x years is represented by:

$f(x)=a(0.97)^x$

where a is the initial bone density which is given to be: 1500 kg/mg^3.

Hence, the function is:

$f(x)=1500(0.97)^x$

6 0

3 years ago

Read 2 more answers

Two out of every 5 costumers at a restaurant use cash to pay for their meal. What percent of the costumers pay with cash?

Gnoma [55]

Answer:

40%

Step-by-step explanation:

Percent means out of 100

Multiply the top and bottom by 20 to get the bottom to 100

2/5 * 20/20 = 40/100

The percent is 40%

6 0

3 years ago

Read 2 more answers

57 1/2 as a decimal, Please help and Thanks

Nimfa-mama [501]

The answer is 57.5 because 57 represents a whole number and 1/2 equals .5 so 57.5.

People who answer the question will get a thank you!

4 0

3 years ago

Billy walks 15 miles every day to soccer practice, and catches a ride home from his grandma. Billy had 5 practices last week. Ho

kirza4 [7]

Billy walked 75 yards last week

8 0

3 years ago