All categories

3 years ago

The measure of the angle

Mathematics

2 answers:

shusha [124]3 years ago

6 0

Since it's an alternate interior angle it would be the same as the other angle which happens to be 113 degrees.

miv72 [106K]3 years ago

5 0

First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.

I hope this helps.

You might be interested in

If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?

ivann1987 [24]

F(1) = -f(0) +5 = -3 +5 = 2
f(2) = -f(1) +5 = -2 +5 = 3

f(2) = 3

_____
The sequence appears to alternate between 3 and 2.

5 0

3 years ago

HEY I RLLLLLLY NEED HELP! 50 POINTS AND BRAINLIEST IS YOU'RE RIGHT!!!!

BlackZzzverrR [31]

Answer:

g(f(x)) = 2x - 2

Step-by-step explanation:

Given:

f(x) = 2x + 1

and

g(x) = x - 3

Find g(f(x)), substitute the value of f(x) into equation:

g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2

7 0

2 years ago

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacter

Leona [35]

Answer:

Step-by-step explanation:

Let the rate at which the bacteria grow be represented by the exponential equation

P(t) = P0e^kt

P(t) is the population of the bacteria after time t

P0 is the initial population

k is the constant of variation

t is the time

If the initial Population is 160 bacteria's, them the equation becomes;

P(t) = 160e^kt

b) if After 5 hours there will be 800 bacteria, this means

at t = 5 p(t) = 800

Substitute and get k

800 = 160e^5k

800/160 = e^5k

5 = e^5k

Apply ln to both sides

Ln5 = lne^5k

ln5 = 5k

k = ln5/5

k = 0.3219

Next is to calculate the population after 7hrs i.e at t = 7

P(7) = 160e^0.3219(7)

P(7) = 160e^2.2532

P(7) = 160(9.5181)

P(7) = 1522.9

Hence the population after 7houra will be approximately 1523populations

c) To calculate the time it will take the population to reach 2790

When p(t) = 2790, t = ?

2790 = 160e^0.3219t

2790/160 = e^0.3219t

17.4375 = e^0.3219t

ln17.4375 = lne^0.3219t

2.8587 = 0.3219t

t = 2.8587/0.3219

t = 8.88 hrs

Hence it will take approximately 9hrs for the population to reach 2790

7 0

3 years ago

What is the equation of the line that passes through(-2, 4) and has a slope of 2/5?

azamat

Answer:

y=2/5x+4.8

Step-by-step explanation:

Proof

8 0

3 years ago

The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of peo

Murrr4er [49]

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

4 0

3 years ago