P, Q, R and S are four points on a circle.
PTR and QTS are straight lines.
Triangle PTS is an equilateral triangle.
Prove that triangle PQR and
triangle SRQ are congruent.
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that Triangle PTS has all sides with equal lengths, it is considered is an equilateral triangle.
Similarly, with < TPS and <TSP aare both equilateral triangle because they have equal length.
Therefore, ∆ PQS and ∆ SRP are congruent based on side-angle-side theorem.
Similarly, given the fact that their congruent sides of congruent triangles are congruent, both Segment PQ is congruent to segment SR.
Also, Segment PR is congruent to segment SQ as a result of congruent sides of the congruent triangles are congruent.
Lastly, the ∆ PQR and ∆ SRQ are congruent based on the side-side-side theorem.
Related Questions
List the prime factors of each of these numbers
a) 30
b) 24
c) 72
d) 100
Answers
Answer:
30= 2×3×5
24= 2cubed×3
72= 2cubed×3squared
100=2squared×5squared
Answer:
Step-by-step explanation:
a) 30 = 5 * 6 = 5 * 2 * 3
30 = 5 * 2 * 3
b) 24 = 4 * 6 = 2*2 * 2 * 3
24 = 2³ * 3
c) 72 = 8 * 9 = 2 *2 * 2 * 3 * 3
72 = 2³ * 3²
d) 100 = 10 * 10 = 2 * 5 * 2 * 5
100 = 2² * 5²
Three lions and three tigers are walking in a row to get ice cream. The lions are fighting so they are not walking next to each other. in how many different ways can the three lions and three tigers walk if no two lions are the same and no two tigers are the same?
Answers
Answer:
72
Step-by-step explanation:
As 3 lions & 3 tigers are to be arranged in a way that lions are not together. It can be done as per following arrangements
LTLTLT , or TLTLTL
Lions can be positioned in six ways, Tigers can also be positioned in 6 ways. There are two alternative positions.
Hence the arrangement can be done in 2 x 6 x 6 = 72 ways
The different ways should be 72.
calculation:As 3 lions & 3 tigers are to be arranged
So, it can be
LTLTLT , or TLTLTL
Now the arrangement should be
[tex]= 2 \times 6 \times 6[/tex]
= 72 ways
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What is the monthly payment for a $11,000 loan for 7 years with an annual interest rate of 2.5%?
Answers
Answer:
i d k
Step-by-step explanation:
look it up
AJKL is similar to ARST. What is the value of x?
Answers
Answer:
15
Step-by-step explanation:
(12/8) ×10 is the correct answer
If triangle JKL is similar to triangle RST then the value of x is 15.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Triangle JKL is similar to triangle RST
Let us find the value of x by forming a proportional equation
10/x = 8/12
Apply cross multiplication
120=8x
Divide both sides by 8
x=15
Hence, if triangle JKL is similar to triangle RST then the value of x is 15.
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4x + 3(4x + 7) = 4(7x + 3)
Answers
Answer: 1
Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3
Reorder the terms:
4x + 3(7 + 4x) = 4(7x + 3) + -3
4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3
4x + (21 + 12x) = 4(7x + 3) + -3
Reorder the terms:
21 + 4x + 12x = 4(7x + 3) + -3
Combine like terms: 4x + 12x = 16x
21 + 16x = 4(7x + 3) + -3
Reorder the terms:
21 + 16x = 4(3 + 7x) + -3
21 + 16x = (3 * 4 + 7x * 4) + -3
21 + 16x = (12 + 28x) + -3
Reorder the terms:
21 + 16x = 12 + -3 + 28x
Combine like terms: 12 + -3 = 9
21 + 16x = 9 + 28x
Solving
21 + 16x = 9 + 28x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-28x' to each side of the equation.
21 + 16x + -28x = 9 + 28x + -28x
Combine like terms: 16x + -28x = -12x
21 + -12x = 9 + 28x + -28x
Combine like terms: 28x + -28x = 0
21 + -12x = 9 + 0
21 + -12x = 9
Add '-21' to each side of the equation.
21 + -21 + -12x = 9 + -21
Combine like terms: 21 + -21 = 0
0 + -12x = 9 + -21
-12x = 9 + -21
Combine like terms: 9 + -21 = -12
-12x = -12
Divide each side by -12.
x = 1
Simplifying
x = 1
Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x
Answers
Answer:
x=9
Step-by-step explanation:
x^2 = 5x + 81 -5x.
x^2 = 81
x=9
In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 8.9 feet. Find the measure of ∠F to the nearest degree.
Answers
Answer:
75
Step-by-step explanation:
its right
Answer:
75 degrees
Step-by-step explanation:
delta math told me
Parallel lines L and M are intersected by line N. Answer the following questions based on the information given.
True/False
1. Angles 1 and 3 are vertical angles.
2. The value of angle 7 is 125 degrees.
3. Angles 1 and 6 are alternate interior angles. 4. Angles 3 and 5 are alternate interior angles. 5. Angles 4 and 8 are corresponding angles.
6. The value of angle 5 is 55 degrees.
7. Angles 1 and 7 are alternate exterior angles. 8. Angles 6 and 8 are corresponding angles.
9. Angles 1 and 6 are supplementary angles. 10. Angles 4 and 8 are supplementary angles
Answers
Answer:
1=True
2=false
3=False
4=True
5=False
6=False
7=True
8=False
9=true
Step-by-step explanation:
As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.
What are parallel lines?Parallel lines are coplanar straight lines that do not intersect at any point.
We have,
Parallel lines L and M ,
Transversal line N,
[tex]\angle 2 =125^0[/tex], [tex]\angle 5 =55^0[/tex]
Now,
Using the Parallel lines properties,
Angles [tex]1\ and\ 3[/tex] are vertical angles - True.The value of angle [tex]7\ is\ 125[/tex] degrees - False. Angles [tex]1\ and\ 6[/tex] are alternate interior angles - False.Angles [tex]3\ and\ 5[/tex] are alternate interior angles - True.Angles [tex]4\ and\ 8[/tex] are corresponding angles - True.The value of angle [tex]5\ is\ 55[/tex] degrees - True.Angles [tex]1\ and\ 7[/tex] are alternate exterior angles - True. Angles [tex]6\ and\ 8[/tex] are corresponding angles - False.Angles [tex]1\ and\ 6[/tex] are supplementary angles - False. Angles [tex]4\ and\ 8[/tex] are supplementary angles - False.Hence, we can say that As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.
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Please help?
I need to find the measure of LO, NO
Answers
Answer:
[tex]LO = 14 \\ NO = 14[/tex]
Step-by-step explanation:
[tex]m + 7 = 2m \\ 2m - m = 7 \\ m = 7 \\ (7 + 7) = LO \\ (2 \times 7) = NO[/tex]
Triangle EFG is shown here. What is the image of point F after a rotation 270°
counterclockwise about the origin?
F(1.4)
G(03.3)
E (1,1)
Answers
Answer:
cxv
Step-by-step explanation:
xcv
⚠⚠ pls helpppp will give brainliest AND 25 points ⚠⚠
✋
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answers
8v + 8b = 240
4v + b = 54
------
Modify:
8v + 8b = 240
8v + 2b = 108
------
Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
-----
Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
hi its been a good minute since we talked i hope ur okay
Step-by-step explanation:
WILLLLLLLLLLLL MARK BRAINLISTTTTTT
Answers
Answer: -38
Step-by-step explanation:
Please I need an answer ASAP!!!!!!!!!!
Answers
Answer:
176
Step-by-step explanation: Teachers correction 119 minus 57
What is an x-intercept? What is a y-intercept?
Answers
Answer:
the X intercept is the horizontal line on the cordintae plane while the Y intercept is the vertical line :)
Step-by-step explanation:
Answer:
x -intercept- the point where the line cuts across the x-axis. the coordinate is always in the form (0, y)
y -intercept- the point where the line cuts across the y-axis. the coordinate is always in the form (x, 0)
solve 5kx+6=7kx for x
Answers
An equilateral triangle with side length 1 cm is shown in the diagram, work out the height of the triangle.
Give your answer rounded to 1 DP.
Answers
Answer:
0.9 cm
Step-by-step explanation:
c is the length of the side. a is the altitude. b is the base. a is the vertical bisector if the base, so the base is 0.5 cm.
c² = a² + b²
1² = a² + 0.5²
1² - 0.5² = a²
1 - 0.25 = a²
√0.75 = a
0.8660254 = a
round to 0.9
Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12
Answers
10p-8>12
+8 +8
10p>12+8
10p>20
/10 /10
P> or equal to 2
Answer:
2 is what is it
Step-by-step explanation:
5+2x+7+2x Simplify the expression .
Answers
Answer:
12 + 4x
Step-by-step explanation:
You take all of the ones which you can group together and so, you can take the 5+7 and make it 12 and the 2x + 2x = 4x. I hope this helps!
very important how do you sleep
Answers
Answer:
I don't sleep
Step-by-step explanation:
0.6h=13.02 show work
Answers
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Determine the intercepts of the line.
Y-intercept (____,____)
X-intercept(____,____)
Answers
Answer:
Y intercept (0, 0.4)
x intercept (0.3, 0)
Step-by-step explanation:
no need explanation. it ia clear from the picture.
Answer:
Y-intercepts 0,0.4
X-intercepts 0,0.3
A color printer prints 13 pages in 8 minutes How many pages does it print per minute
Answers
Answer: 13/8 or 1.625
Step-by-step explanation:
CAN SOMEONE PLEASE CHECK MY ANSWER!!
Answers
Answer:
Yesss, that's correct!
Step-by-step explanation:
Good luck!!!!
Use the figure to complete the proportion
?/h=h/?
Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
A value is decreased by 85% for a new value of 17.1. Find the original value.
Answers
Answer:
114
Step-by-step explanation:
let 'n' = original value
(17.1 - n) / n = -85/100
cross-multiply:
1710 - 100n = -85n
1710 = 15n
n = 1710/15
n = 114
2.
What is the distance between the points (2,0) and (-6, 6) on the standard (x, y) coordinate plane?
F
27
G
2/13
H
8
10
K
2137
Answers
Answer:
10
Step-by-step explanation:
Use the distance formula.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We have x1 = 2; y1 = 0; x2 = -6; y2 = 6.
[tex] d = \sqrt{(-6 - 2)^2 + (6 - 0)^2} [/tex]
[tex] d = \sqrt{(-8)^2 + 6^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Answer: 10
To harmandeep or someone else please help me
Answers
Answer: 3x+6=9
3x=3
x=1
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
To solve this, we must first isolate the variable 'x':
3x + 6 = 9
-6 -6
3x = 9 - 6
Combine like terms
3x = 3
Isolate 'x' fully
3x = 3
/3 /3
x = 1
Hope this helps :)
Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?
Answers
Answer:
13.5 ounces
Step-by-step explanation:
What is the slope and y-intercept from the table?
a
m = 1/4, b = 0
b
m = -1/4, b = 5
c
m = -4, b = 5
d
m = 4, b = 0
Answers
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(2, 5), (3, –5), (4, 5), (5, –5)}
A.
Yes; no value in the domain corresponds to more than one value of the range.
B.
No; the domain value 5 corresponds to two range values, 2 and 3.
C.
Yes; multiple domain values correspond to the same range value.
Answers
Answer:
Ok so it is a function
A. Yes; no value in the domain corresponds to more than one value of the range.
Step-by-step explanation:
Since there is one value of
y
for every value of
x
in
( 2 , 5 ) ,
( 3 , − 5 ) ,
( 4 , 5 ) ,
( 5, -5) , this relation is a function.
The relation is a function.