Jordi trains on his bicycle by riding for a total of 300 miles each week

What is the value of k? ____ units

marin [14]

Answer:

2

Step-by-step explanation:

Corresponding sides are proportional in these similar triangles.

__

short side/long side = k/4 = 4/8

k = 4(4/8) . . . . multiply by 4

k = 2

_____

Additional comment

The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...

l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN

l = 2√5

m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN

m = 4√5

The similarity statements are ...

ΔLMN ~ ΔLNO ~ ΔNMO

3 0

2 years ago

Can someone please help me with this problem? A fastpitch softball player signs a six year contract. Her agent expects that she

Luba_88 [7]

Answer:

The question is not complete, below is the complete question:

A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.

Answer:

on average, the pitcher expects to earn 18.3 bonuses per year

Step-by-step explanation:

Total amount earned over the next 6 years = $1,000,000

salary per year = $20,000

salary for the next 6 years = 20,000 × 6 = $120,000

Next, let us calculate the amount earned from bonuses:

Total amount earned = amount earned from salaries + amount earned from bonuses

$1,000,000 = 120,000 + Amount earned from bonuses

Amount earned from bonuses = 1,000,000 - 120,000

Amount earned from bonuses = $880,000

Total bonus amount earned over six years = $880,000

Amount of bonus earned per game = $8,000

Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)

Number of bonus received over the next 6 years = 880,000 ÷ 8,000

Number of bonus received over the next 6 years = 110 bonuses

6 years = 110 bonuses

1 year = 110 ÷ 6 = 18.33 bonuses

on average, the pitcher expects to earn 18.3 bonuses per year

5 0

3 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

3 years ago

Order from least to greatest 35.21, 3.521, 3.512

Valentin [98]

Answer:

3.512 the first

3.521 the second

35.21 the last

3 0

3 years ago

Read 2 more answers

URGENT PLEASE HELP ME !!!

Marrrta [24]

I'll only answer the first question, 'The data representation is useful because it tell and shows you what industry, what is the yearly cost and the highest qualifications.'

7 0

3 years ago