Find the largest degree of x that can be factored out of all the terms<br> 9x + 45

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second d

abruzzese [7]

Given:

On the first day, she drove 650 miles in 10 hours.

On the second day, she got a later start and drove 540 miles in 8 hours.

To find:

Difference between average speed of second day and first day.

Solution:

We know that,

$Speed=\dfrac{Distance}{Time}$

On the first day, she drove 650 miles in 10 hours. So, the average speed is

$Speed=\dfrac{650}{10}$

$Speed=65$

So, the average speed on first day is 65 miles per hour.

On the second day, she got a later start and drove 540 miles in 8 hours.

$Speed=\dfrac{540}{8}$

$Speed=67.5$

So, the average speed on second day is 67.5 miles per hour.

Difference between average speed is

$67.5-65=2.5$

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.

3 0

1 year ago

Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

zaharov [31]

$\\ \sf\longmapsto tan40=\dfrac{P}{430}$

$\\ \sf\longmapsto 0.83=\dfrac{P}{430}$

$\\ \sf\longmapsto P=430(0.83)$

$\\ \sf\longmapsto P\approx361m$

P=Height of tower

5 0

2 years ago

Read 2 more answers

You have an ant farm with 31 ants. The population of ants in your farm will double every 3 months. The table shows the populatio

Evgesh-ka [11]

Answer:

I think the table is linear. The total amount after one year is 248 ants.

Step-by-step explanation:

8 0

1 year ago

A randomly chosen subject arrives for a study of exercise and fitness and begins walking on a treadmill at a brisk pace. which o

Flauer [41]

A discrete variable is a type of variable which contains a finite number of values. It usually takes its values from the set of whole numbers.

From the random variable described, the random variable that is descrete is "You measure the maximum heart rate in beats per minute".

This is because, heart rate cannot be partitioned it only takes counting number values. You either have 1 beat per minutes, 2 or 3 and so on beats per minute. But you cannot have 2.5 or 3.8 and so on beats per minute.
So heart rate cannot take decimal or fractional values and hence, it is a discrete random variable.

4 0

2 years ago

Find the largest degree of x that can be factored out of all the terms 9x + 45