Point Pis the circumcenter of A XYZUse the lengths of PX and
PY to find the length of PZ. Show (or explain) all of your work!
PX - 3x + 2
PY - 4x - 8
Answers
Answer:
The length of the line segment PZ is 32 units.
Step-by-step explanation:
If P is the circumcenter of [tex]\triangle XYZ[/tex], then the measures of line segments PX, PY and PZ are the same of the radius of the circle, in which is inscribed in, meaning that measures of the three line segment are equal:
[tex]PX = PY = PZ[/tex] (1)
If we know that [tex]PX = 3\cdot x + 2[/tex] and [tex]PY = 4\cdot x - 8[/tex], then we solve (1) for [tex]x[/tex]:
[tex]3\cdot x + 2 = 4\cdot x - 8[/tex]
[tex]x = 10[/tex]
Then, the length of PZ is:
[tex]PZ = 3\cdot x + 2[/tex]
[tex]PZ = 3\cdot (10) + 2[/tex]
[tex]PZ = 32[/tex]
The length of the line segment PZ is 32 units.
Related Questions
ANSWER ASAP DONT SEND A FILE WHATS THE RULE TRANSFORMATION FOR THIS DILATION ???
Answers
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]
Hope this helps!
please help with this question
Answers
1/2
.5
50%
i’m not sure tho
Answer:
1/2
Step-by-step explanation:
P= 7/14
= 1/2
The probability of Pickup Truck is 1/2
Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14
Answers
Answer:
17
Step-by-step explanation:
Convert 4(cos(150°) + isin(150) into rectangular form.
Answers
Answer:
The rectangular form of [tex]4[cos(150^{o})+i sin (150^{o})][/tex] is [tex]-2\sqrt{3}+2i[/tex].
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answers
Answer:
A. Yes
Step-by-step explanation:
I calculated it logically
Yes the given figure with rectangle tessellates the plane.
A rectangle cannot tessellate a plane by itself because it is not a regular polygon with equal angles and sides.
A rectangle can only tessellate the plane if it is combined with other shapes, such as squares or triangles, to form a regular tessellation.
Yes, the given figure tessellates the plane.
Hence, Yes the given figure tessellates the plane.
To learn more on Rectangles click:
https://brainly.com/question/20693059
#SPJ7
Item 1
Use the figure to find the measures of the numbered angles.
Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.
Answers
9514 1404 393
Answer:
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Step-by-step explanation:
Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...
∠1 = 180° -99° = 81°
Then we have ...
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
1) Simplify the product using the distributive property.
(x-2)(x+4)
Please help me answer this question
Answers
Hope this helps :))
Someone, please help
Answers
Answer:
The answer is 45
Step-by-step explanation:
Answer:
I think 21,200,000,000
Step-by-step explanation:
because if you convert 4% in decimal it would be 0.04 then multiple
0.04 x 530,000,000,00 = 21,200,000,000
Last year the depth of the river was 4.2 feet deep.
This year it dropped 5%.
Find the depth of the river this year to cross it.
Answers
Answer:
3.15 ツ
Step-by-step explanation:
(2x+1)(x+6)
A=
B=
C=
Answers
9514 1404 393
Answer:
A = 2B = 13C = 6Step-by-step explanation:
In expanded form, the quadratic is ...
(2x +1)(x +6) = 2x(x +6) +1(x +6) = 2x² +12x +x +6
= 2x² +13x +6
Comparing this to ...
Ax² +Bx +C
we see that ...
A = 2B = 13C = 6Answer:
the answer is
a=2
b=13
c=6
Keisha had $54 when she went to a bookstore. She
had $12 left after buying some books. Which
equation can be used to find a, the amount Keisha
spent on books?
54 - a = 12
B
a - 54 = 12
a +54 = 12
12 + 54 = a
Answers
This is because she started with 54 and ended with 12. You need to keep a in the middle since that’s the amount you spent to end up at 12. Have a good day :)
Find the area of the shape below
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answers
Answer: 2200
Step-by-step explanation:
First we will find the area of the triangle, the formula for that is bh/2
(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.
please help me thank you
Answers
Answer:
7.2 yds²
Step-by-step explanation:
6 × 1.2
7.2 yds²
The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.
Answers
Answer: 69
Step-by-step explanation: EZ
find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
Answers
Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.
Answers
Answer:
will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
solve ax^2-c=0 assume a and c are positive
Answers
9514 1404 393
Answer:
x = ±√(c/a)
Step-by-step explanation:
Undo what is done to x.
ax² -c = 0
ax² = c . . . . . . add c
x² = c/a . . . . . . divide by a
x = ±√(c/a) . . . . take the square root
What quadrant does the angle 250 degrees lie in?
Answers
Answer: 3rd quadrant
Step-by-step explanation:
This is a question relating to trigonometry.
First quadrant = Angles between 0∘ and 90∘.
Second quadrant = Angles between 90∘ and 180∘
Third quadrant = Angles between 180∘ and 270∘
Fourth quadrant = Angles between 270∘ and 360∘
Therefore, since 250° is between 180° and 270°, it's in the 3rd quadrant.
2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer
Answers
Answer:
9x + 5y
Step-by-step explanation:
Here, in 2x + 5y+ 7x, the 'like terms' are 2x and 7x, and the sum of these terms is 9x. Thus, 2x + 5y+ 7x becomes 9x + 5y.
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answers
Answer: B
Step-by-step explanation: Ez
Can someone help me with this please ?
Answers
Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?
Answers
Answer:
He would need to visit a minimum of 12 times
Step-by-step explanation:
Timed plz help meeee
Answers
step by step
Using the picture, find the measure of arc GR. (GK is the diameter)
Answers
Answer:
48°
Step-by-step explanation:
Given that GK is the diameter of the circle ;
Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)
Diameter =half of the entire circle = 360 /2 = 180
GK = 180°
GK =GR + KR = 180
KR = 132°
180 = GR + 132
GR = 180 - 132
GR = 48°
One year, the population of a city was 209,000. Several years later it was 244,530. Find the percent increase
Answers
Answer:
17%
Step-by-step explanation:
（244530—209000）/209000*100%=17%
Answer: wait huh
Step-by-step explanation:
Instead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is
Answers
Answer:
"0.9739" is the correct answer.
Step-by-step explanation:
The given values are:
The ratio of true to false effects,
= 0.07
The power of study,
= 0.8
Alpha level,
= 0.05
Now,
The percentage of effects proved as significant will be:
= [tex]0.8\times \ 70 \ percentage[/tex]
= [tex]0.56[/tex]
0r,
= [tex]56[/tex]%
The percentage of false effects will be:
= [tex]0.05\times 30 \ percent[/tex]
= [tex]0.015[/tex]
or,
= [tex]1.5[/tex]%
The total effects will be:
= [tex]56+1.5[/tex]
= [tex]57.5[/tex]%
hence,
The probability that this effect is real will be:
= [tex]\frac{56}{57.5}[/tex]
= [tex]0.9739[/tex]
There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?
Answers
express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answers
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
One batch of walnut muffins uses
1 cups of walnuts. How many cups of
walnuts are needed to make 3 batches of muffins?
1) 5 cups
4 cups
3.2 cups
5.12 cups
Answers
Answer:
4 cups
Step-by-step explanation: