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Svetlanka [38]
3 years ago
7

Calculate x, if AB = BP

Mathematics
1 answer:
lianna [129]3 years ago
7 0

BPC is an isosceles triangle so the base angles are equal.

x is 30

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The difference between two numbers is 9. The first number plus twice the other number is 27.Find the two numbers.
vodka [1.7K]
The numbers are 3 and 12. 12 and 3 have a difference of 9 and 3+12+12=27.
4 0
3 years ago
Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third
asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

average=\frac{81+87+x}{3}

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87

This ine72\leq x} \leq 87quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0
3 years ago
Write the following expression in standered form.<br><br> -3•2•a+5(-7b)+(12•c•4)
Alex

Answer:

−6a − 35b + 48c

Step-by-step explanation:

You do pemdas and if you know Pemads you will get your anwser

6 0
2 years ago
The experimental probability of getting a 6 on a number cube is StartFraction 7 over 40 EndFraction. Which is true about the eve
Ghella [55]

Answer:

the answer is A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be
djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

-Chetan K

4 0
2 years ago
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