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3 years ago

I need help for numbers 5 and 6

Mathematics

1 answer:

FrozenT [24]3 years ago

6 0

Answer:

Below in bold,

Step-by-step explanation:

m < JIK = the sum of the measure of the other 2 angles so we have:

140 - 6x = 20x - 10 + 8x - 20

140 + 10 + 20 = 20x + 6x + 8x

170 = 34x

x = 5.

m < JIL = 20(5) - 10 = 90 degrees.

m < LIK = 8(5) - 20 = 20 degrees.

m < JIK = 140 -5(5) = 110 degrees.

6. 5x = 8x - 4 (as QB is the bisector of < AQC.

Solve for x then substitute the value of x as in question 5.

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8 less than the product of 6 and -16

Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

-96 - 8

-104

3 0

3 years ago

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

$^{a}n = ^{a}1 (n - 1)d$

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, $^{a}1$ will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have $^{a} 76 = 17 + (76 - 1)(2)$ .

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have $^{a} 76 = 17 + (75)(2)$ .

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have $^{a} 76 = 17 + 150$ .

Now just add to find that $^{a} 76 = 167$ .

So the 76th term is 167.

5 0

3 years ago

Fie O centrul unui cerc si doua unghiuri la centru adiacente AOB si BOC.Stiind ca masura unghiului AOB = 120 si masura BOC= 150,

kodGreya [7K]

Let A be the center of a circle and two angles at the adjacent center AOB and BOC. Knowing the measure of the angle AOB = 120 and the measure BOC = 150, find the measures of the angles of the ABC triangle.
solution

Given the above information;
AC=AB, therefore ABC is an isosceles triangle.
therefore, BAO=ABO=(180-120)/2=30
OAC=OCA=(180-90)/2=45
OBC=BCO=(180-150)/2=15
THUS;
BAC=BAO+OAC=45+30=75
ABC=OBA+CBO=15+30=45
ACB=ACO+BCO=15+45=60

4 0

3 years ago

samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used

ella [17]

Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t²
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)

5 0

3 years ago

I saved $100 to spend over the summer. I decide to budget $20 to spend each weak, How would I wrtie an equation that represent t

MakcuM [25]

100-20x

100 is the amount of money you have
20 is your budget
x is number of weeks

6 0

4 years ago