All categories

3 years ago

if two angles of a triangle have measures of 42 degrees and 20 degrees what is the measure of the third

1 answer:

3 0

Every triangle has an angle measure of 180 degrees.

so 42+20+x (where x is the measure of the third angle)=180

Combine like terms.

62+x=180

Subtract 62 from both sides

x=118.

You might be interested in

72 is the product of Mai's height and 6.<br>

7nadin3 [17]

Answer:

Step-by-step explanation:

72/6 = 12

Or 72= h*6

Be sure to mark me brainliest!

3 0

3 years ago

Read 2 more answers

Which information is typically found on a map key?

Elodia [21]

Answer:

The Answer is (A)

Step-by-step explanation:

A sample of each symbol (point, line, or area), and a short description of what the symbol means

6 0

3 years ago

What is the unit rate for Lays chips?

garik1379 [7]

Answer:

Step-by-step explanation:

the unit rate would be 2 dollars each bag of chips because 2 times 2 is 4

6 0

3 years ago

In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket

-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

l = 45 – r Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96 Remove parentheses

2r + 135 - 3r = 96 Combine like terms

-r + 135 = 96 Subtract 135 from each side

-r = -39 Multiply each side by -1

r = 39 Substitute the value of r in Equation (1)

39 + l = 45 Subtract 39 from each side

l = 6

===============

Check:

(1) 39 + 6 = 45

45 = 45

(2) 2×39 + 3×6 = 96

78 + 18 = 96

96 = 96

4 0

3 years ago

. The sandwich shop offers 8 different sandwiches. Jamey likes them all equally. He picks one randomly each day for lunch. Durin

Margarita [4]

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability $\dfrac{5}{8} (5-x-y-z)$

So. these x days, y days and z days can be arranged within five days in

$= \dfrac{5!}{x!y!z!(5-x-y-z)!}$

Thus;

$P[X=x,Y=y,Z=z]= \dfrac{5!}{x!y!z!(5-x-y-z)} \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)$

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

5 0

3 years ago