Darlene heard 5/8 of a 56 page book how many pages did Darlene read

Select all angles that MUST be supplementary to 9

erastova [34]

Answer:

Angles supplementary to angle 9 = Angle 10, 7, 5, 1, 4, 3, 15, 12, 24, 22, 20, 19, and angle 16.

Step-by-step explanation:

Use the vertical, and corresponding angles theorem to find congruent angles.

Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.

Something is supplementary if it adds to 180 degrees.

The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.

The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.

6 0

3 years ago

Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv

Oliga [24]

Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(Solve and write addition Equations) Zacarias and Paz together have $756.80. If Zacarias has $489.50, how much does Paz have? Wr

serious [3.7K]

$489.50+x=$756.80

x=amount paz has.

756.80-489.50 = 267.3

so Paz has $267.30

4 0

3 years ago

Read 2 more answers

What are zeroes of f(x) =x^2-x-2

allochka39001 [22]

You have to factor this...
So you have started with this...

x²-x-2=0
If you factor this you will get

(x+1)(x-2)=0

This gives you two solutions...
x=-1, x=2
Hope this helps! Give me a five-rate and a thanks!

6 0

4 years ago

You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t

CaHeK987 [17]

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

$\$ \ 144,700 \times 0.72 = \$ \ 104,184$