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3 years ago

Find the value of b here

Mathematics

1 answer:

sweet [91]3 years ago

8 0

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

You might be interested in

how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?

Verizon [17]

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

Permutations of four letters from a set of 12 letters. So

$P_{(12,4)} = \frac{12!}{(12-4)!} = 11800$

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

3 0

3 years ago

Find the sum of all multiples of 7 lying between<br>500 & 900

Anna11 [10]

Answer:

Sₙ = 57/2 * (504 + 896) = 39900

Step-by-step explanation:

first multiple of 7 after 500 is: 72 *7 = 504

last multiple of 7 before 900 is: 128 *7 = 896

a₁ = 504

aₙ = 896

where n = 128-72 +1 = 57

sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)

Sₙ = 57/2 * (504 + 896) = 39900

6 0

2 years ago

Help me plz branniest to whoever right

storchak [24]

(3x+7)+(4x+9)=-58
first add like terms
7x+16=-58
subtract 16 from both sides
-7x=-74
divide -7 from both sides
x=10.6
its 10.6 units long

7 0

3 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

Factor completely x2 − 36. (1 point)

puteri [66]

Answer:

Solution given:

x²-36

x²-6²

(x+6)(x-6)

is your answer

6 0

3 years ago