C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet
Answer:
96000 corn
Step-by-step explanation:
80,000/43500 = 1.84
1.84/0.5 = 3.678
3.678 x 26100 = 96000
What is one other way to write 10x7 ?
A:10+7
B:(10)(7)
C:10-7
D:10/7
Answer
B
Step-by-step explanation:
1.Solve: 12 2
Its urgent need these answered, please
Answer:
K must be greater than 5
G must be less than 4
Step-by-step explanation:
Becky and claire went trick or treating.At the end of the night ,they combined their candy and found they each had four large candy bars.Becky ate two candy bars and clair ate one
Answer:
Well, You possibly did all the math depending on the question. But if it was subtraction that means there's one candy bar left
step-by-step explanation:
I hope this helped in any way!
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
1 If f(x) = x - x9, what is the value of f(2)?
Can any1 help me with this question please
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
Solve for x 2(-4x+2)=28
Answer:
x=-3
Step-by-step explanation:
Divide both sides by 2, so -4x+2=14
Subtract 2 from both sides, -4x=12
Divide both sides by -4, so x=-3
Answer:
4x2 = 28
Step-by-step explanation:
Use the slope formula to determine the slope of the line.
(6,7) (9,9)
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
9-7/9-6
2/3
What is the solution to the inequality? 14x - 14 > -7x + 7
Answer:
X<1 or X>3/2
Step-by-step explanation:
The order in which you multiply inverse matrices is not relevant.
True
False
Solve the simple equation.
5(2d+2) = 3 (8d-5)
Answer:
d = 25/14
Step-by-step explanation:
5(2d+2) = 3 (8d-5)
10d + 10 = 24d - 15 | +15
10d + 25 = 24d | - 10d
25 = 14 d | :14
d = 25/14
Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all students prefer hotdog
Answer:
Where's the table?
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4
Answer:
first one
Step-by-step explanation:
it is what is it
A group of students were discussing whether the relationship on the graph
is a function.
Answer:
A function is a relationship that maps the elements of a set, the domain, into elements of another set, the range.
The restriction that we have for functions is: The elements on the domain can be mapped into only one element in the range.
Then if:
f(x1) = y1
and
f(x1) = y2
where y1 is different than y2
f(x) is not a function.
Now, in the graph you can see a region where both lines overlap, then for some values of x we have two possible values of y, this means that the graph does not represent a function.
Then:
Ed: He is incorrect because we can have different values in the domain mapped into the same value in the range (like in the case of a line y = b, where we have all the elements in the domain mapped into the same element in the range, b)
Debra: There is something called piecewise functions, that are functions of this type, formed by different pieces.
Alejandro: He is correct.
Antoine: Not because you can write an equation means that the relation is a function. You can write an equation for a circle, but it will not be a function.
The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch
Answer:
the answer to the question is 0.96.
Answer:
1 inch
Step-by-step explanation:
the 9 is in the tenths place. 5 or more you need to round up.
hellllllllllllllllllp
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point
What is the point slope form of (8,5) and (3,4)?
Answer:
(-2,-4) or (2,4) depending on which one you start on.
Step-by-step explanation:
if you start from the highest point it is (-2,-4)
And if you start from the lowest point (2,4)
enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?
Answer:
9
Step-by-step explanation:
you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
I need help with this problem (THIS IS NOT FROM A TEST)
Answer:
44.5 degrees.
Step-by-step explanation:
Since these triangles are congruent, their angles are the same.
Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):
2.5x+8=3.5x-7
8=x-7
x=15
We can plug 15 back into one of the equations:
2.5(15)+8 = 45.5
This means angle F is 45.5.
To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:
90 + 45.5 + x = 180
135.5 + x = 180
x = 44.5
Therefore, the angle E is 44.5 degrees.
Answer:
44.5
Step-by-step explanation:
These triangles are the same so we know that
2.5x + 8 = 3.5x - 7
Subtract 2.5 x from both sides
8 = x - 7
Add 7 to both sides
15 = x
Substitute x
37.5 +8
45.5
There is a right angle so we must add 45.5 + 90 to get 135.5
Subtract 135.5 from 180 to get
44.5
PLS HELP ASAP
Write a word problem that can be represented by the expression 5/6 divided by 1/3.
Answer:
I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?
Step-by-step explanation:
The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".
Given :
The expression 5/6 is divided by 1/3.
The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:
Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.
Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.
Step 3 - Solve the above problem by dividing 5/6 by 1/3.
[tex]= \dfrac{5\times 3}{6\times 1}[/tex]
= 2.5
For more information, refer to the link given below:
https://brainly.com/question/25834626
fully reduce 18/10 plz i need help
Answer:
9/5
Step-by-step explanation:
Asppppp help Im taking a quixxxx
Answer: a, b, d
Step-by-step explanation: don’t count me on it
Answer:
B, D
Step-by-step explanation:
just find the common denominator and see if it works
Find the domain for f(x) = 2x + 9
Answer:9
Step-by-step explanation:Set x to 0 and the answer is 9
Select all the expressions that have a value of 180 when b=4
-3 times (7+(-3) to the second power) divided by 3
Answer:
-18
Step-by-step explanation:
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
Answer:
2.4x - 4.4
Step-by-step explanation:
0.3(4x – 8) – 0.5(–2.4x + 4)
1.2x - 2.4 + 1.2x -2
2.4x - 4.4