Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
Learn more on probabilities here:
https://brainly.com/question/19557377
#SPJ2
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese?
Let p(x) = -2x - 9. If p(x) = -19, find x.
Answer:
x=5
Step-by-step explanation:
Step 1: Flip the equation.
−2x−9=−19
Step 2: Add 9 to both sides.
−2x−9+9=−19+9
−2x=−10
Step 3: Divide both sides by -2.
Exact Form:
x = 9/17
Decimal Form:
x = 0.52941176…
Edit: "but what are the steps to get 9/17"
1. Move all terms containing x to the left side of the equation.
2. Divide each term by −17 and simplify.
Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?
Answer:
d
Step-by-step explanation:
to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50
this is the same as 50(0.80)
i need some help with this
Answer:
d
Step-by-step explanation:
hope this is right
Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.
Answer:
None of these answers is trueStep-by-step explanation:
1x - y = 1 ⇒ x - 1 = y
-3x + 4y = 12
-3x + 4(x - 1) = 12
-3x + 4x - 4 = 12
x - 4 = 12
x = 16 ⇒ 16 - 1 = y ⇒ y = 15
Therefore the system of the equations has exactly one solution at (16,15)
Answer:
D- There are infinite solutions
Step-by-step explanation:
-3x + 4y= 12 is the same as 1/4x -1/3y = 1.
1/4x multiplied by 12 is 3x
-1/3y multiplied by 12 is -4y
To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations
Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. Line: is an infinite number of points extending in opposite directions that has only one dimension.
d. Line segment: is part of a line that has two endpoints.
e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.
Can someone pls gave me an idea for a business letter.
U get brainliest if i like it!
Answer:
Try writing to your teacher, why students should have game time on Fridays.
Step-by-step explanation:
Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.
Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__
Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
test the symmetric of a function f(x)=x5+x3+x plz answer my question and you will be mark as brainly
Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?
I think the answer is b
I think the answer is b
I think the answer is b
I think the answer is b
Is the equation y=2x-2 is proportional or non-proportional?
Answer:
i believe their proportional
Step-by-step explanation:
cause they have a linear function
1
-3
р
II
03
True
O False
Answer:
i dont understand it
Step-by-step explanation:
what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
X=-4y + 4
2x + 8y =8
How many solutions are there?
Answer:
One solution.
Step-by-step explanation:
What is the slope of y = -42 - 3?
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8
SHOW YOUR WORK PLZSSSSSSS
If b(x) = negative2(xminus50), what is the value of b(20)?
Answer:
b(20) = 60
Step-by-step explanation:
Here, given that ;
b(x) = -2(x-50)
we want to find the value of b(20)
what we need to do is to simply substitute x for 20
That will be:
b(20) = -2(20-50)
b(20) = -2(-30)
b(20) = 60
i had 50 candies yesterday, and now i have 35. find the percent of decrease
Answer: you lost 15 candies
Step-by-step explanation:
Answer:
30% is the decrease percent
Solve
12x - 4 = -3 +3
Answer:
Exact answer: 1/3 Decimal Form : 0.3
Step-by-step explanation:
Qué procedimiento debe realizar para convertir kilómetros a mililitros
Answer:
multiplica el valor de volumen por 1e+15
Step-by-step explanation:
line with a slope of 2 and passes through point (3, 5)
Answer:
i dont get what you are trying to say is their a graph u can show
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
Which number line correctly shows 0.8 + 0.3?
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the answer that has the correct expression and the correct answer to the question
4x3+4x4; Joe read 28 more books than Craig.
0 4x3 - 3x3; Joe read 27 more books than Craig.
3x3-4x 3; Joe read 3 more books than Craig.
0 4x3 - 3x3; Joe read 3 more books than Craig
Answer:
4*3 - 3*3;
Joe read 3 more books than Craig
Step-by-step explanation:
Given
Craig:
3 books weekly for 3 weeks
Joe:
4 books weekly for 4 weeks
Required
How many more books did Joe read.
First, we need to determine number of books Craig reads
If in a week, Craig reads 3 books
Then in 3 weeks, Craig reads 3 * 3 books
Next, we need to determine number of books Joe reads
If in a week, Joe reads 3 books
Then in 4 weeks, Joe reads 4 * 3 books
Next, we determine the difference;
[tex]Difference = 4 * 3 - 3 * 3[/tex]
[tex]Difference = 12 - 9[/tex]
[tex]Difference = 3[/tex]
Hence, Joe reads 3 more books
Option D answers the question.
I have 10 minutes left someone help
Answer: there is no question. Its empty
Step-by-step explanation:
Answer:
with what
Step-by-step explanation:
2. Multiply and simplify: (x - 2)(2x + 3)
Answer
Step-by-step explanation:
(x - 2)(2x + 3)
=2x²+3x-4x-6
=2x²-x-6
Answer:
2x^2-x-6
Step-by-step explanation:
use foil,
1) x*2x=2x^2
2) x*
majikalmochi avatar
i sent too early lol
2) x*3= 3x
majikalmochi avatar
3) -2*2x=-4x
4) -2*3=-6
majikalmochi avatar
now put that all together
2x^2+3x-4x-6
simplify
2x^2-x-6
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.