Answer:
First side=7
Second side =28
Third side =8
explanation:
Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches
Second side is 4 times the first side
Third side is 1 inch longer the first
Let's call the first side x
Then equation for the perimeter of the triangle is given by
x+4x+x+1=43
We solve for x
6x+1=43
6x=43-1
6x=42
x=42/6
x=7
Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8
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°
select all pairs of congruent angles
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
The pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure,
Vertically opposite angles:
∠1≅∠4
∠2≅∠3
∠5≅∠8
∠6≅∠7
Alternate interior angles:
∠3≅∠6
∠4≅∠5
Alternate exterior angles:
∠1≅∠8
∠2≅∠7
Corresponding angles:
∠1≅∠5
∠2≅∠6
∠4≅∠8
∠3≅∠7
Therefore, the pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
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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:
Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Davaughn have?
Answer: 9 quarters and 5 dimes
Step-by-step explanation:
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.
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].
simplify 5/4+4(3/4−1/2)^2
Step-by-step explanation:
5/4+(12/4_1/2)^2
5/4+((12_8)/4)^2
5/4+1
9/4
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]
= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]
7C = 4A
[tex]C = \dfrac{4A}{7}[/tex] --- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]
25(C + 68) = 41A
C + 68 = [tex]\dfrac{41}{25}A[/tex]
[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)
Equating (1) and (2) together;
[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]
[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]
[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]
[tex]\dfrac{-187A}{175} = -68[/tex]
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From; [tex]C = \dfrac{4A}{7}[/tex]
[tex]C = \dfrac{4*64}{7}[/tex]
C = 36.57
C ≅ 37 beads
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."
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Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracelet. How long does it take to make each necklace and each bracelet?
A. Bracelets take 3 minutes to make, and Necklaces take 8 minutes to make.
B. Bracelets take 8 minutes to make, and Necklaces take 3 minutes to make.
C. Bracelets take 15 minutes to make, and Necklaces take 20 minutes to make.
D. Bracelets take 20 minutes to make, and Necklaces take 15 minutes to make.
Answer:
A. Bracelets take 3 minutes, and necklaces take 8 minutes.
Step-by-step explanation:
If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)
Answer:
23 56
Step-by-step explanation:
yt
Someone please answer its due by midnight
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.
I hope this helps :)
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
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24
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
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.
miss watson runs a disatnce of 200 metres in 25 seconds.
work out the average speed of miss watson in metres per second
Answer:
Step-by-step explanation:
ANSWER:
average = total distance / time
average = 200/25 = 8 m /s
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
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The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
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.
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
Switched network connection
Your connection
has switched td al
Previous
O
Fo
Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!!!
Answer:
160
Step-by-step explanation:
20% of 800 = 0.20 * 800 = 160
Find a solution to the system. Make sure to write as a coordinate.
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:
[tex]2*(2y-4)+y=7[/tex]
We simplify and solve for y:
→ [tex]4y-8+y=7[/tex]
→ [tex]5y=15[/tex]
→ [tex]y=3[/tex]
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ [tex]x=2*3-4[/tex]
→ [tex]x = 2[/tex]
Let me know if my explanation is unclear.
What’s the answer to this? Thanks!
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
please help , giving brainliest and a thanks!!
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
help again:)!
Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room?
Answer:
$235.2
Step-by-step explanation:
$210 * (100%+12%)
= $210 * 112%
= $210 * 1.12
= $235.2
Hope this helped!
Answer:
The final answer is $470.40.
Step-by-step explanation:
210 x 2 = $420
To find the final price including tax, we must find 12% of $420.
420 x 0.12 = $50.4
Now, we must finalize the price by adding the tax to the price without tax.
$420 + $50.4 = $470.40
Therefore, the final cost for the hotel room is $470.40.
Hope this helps you out! :)
Find the value of f(-7).
Answer:
f(-7) = -4
Step-by-step explanation:
We want to find the value of the function when x = -7
The y value of the function when x= -7 is -4
f(-7) = -4
Answer:
f(-7)=-4
Step-by-step explanation:
If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.
John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.
Given :
John has 3 ½ = 7/2 pounds of Skittles.
He decides to give ¾ pounds of Skittles to each friend.
To Find :
How much the leftover Skittles are.
Solution :
Let, his number of bands are x.
So, amount of Skittles left is :
[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]
Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.
Hence, this is the required solution.
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.