Option B: [tex]TU $\cong$ TS PU $\cong$ TU[/tex]
Option C: The length of line segment PR is 13 units.
Explanation:
Given that the circle is inscribed in triangle PRT. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T.
The length of RS is 5, the length of PU is 8 and the length of UT is 6.
Option A: The perimeter of the triangle is 19 units.
The perimeter of the triangle is given by
Perimeter of ΔPRT = PU + UT + TS + SR + RQ + QP
Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".
Thus, we have,
RS = RQ = 5
PU = PQ = 8 and
UT = TS = 6
Substituting the values in the perimeter of ΔPRT, we get,
Perimeter of ΔPRT = 8 + 6 + 6 + 5 + 5 + 8 =38 units
Thus, the perimeter of the triangle is 38 units.
Hence, Option A is not the correct answer.
Option B : [tex]TU $\cong$ TS PU $\cong$ TU[/tex]
Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".
Then [tex]TU $\cong$ TS PU $\cong$ TU[/tex]
Hence, Option B is the correct answer.
Option C: The length of line segment PR is 13 units.
The length of PR is given by
PR = PQ + QR
Substituting the values RQ = 5 and PQ = 8, we get,
PR = 5 + 8 = 13 units
Thus, the length of line segment PR is 13 units.
Hence, Option C is the correct answer.
Option D: The length of line segment TR is 10 units.
The length of TR is given by
TR = TS + SR
Substituting the values TS = 6 and SR = 5, we get,
TR = 6 + 5 = 11 units
Thus, the length of line segment TR is 11 units
Hence, Option D is not the correct answer.
Answer: b and e
Step-by-step explanation:
Use the distributive property to write and equivalent expression: 6(y+5)
Answer:
6y+30
Step-by-step explanation:
1) distributive property is basically multiplying the number outside of the parenthesis with each number/variable inside
so
6*y+6*5
6y+30
hope this helps
Answer:
6y+30
Step-by-step explanation:
(6*y)+(5*6)
Carmen wants to know the favorite lunch menu among 6th grade students. Which types of survey below would give Carmen valid results?
Answer: D i think
Step-by-step explanation:
i am testing to see how this works anyone can respond
Answer:
oh
Step-by-step explanation:
ok
the answer must be a correct answer
The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 125°.
The bearing of point Z from point X is 110°.
Find the bearing of point X from point Z.
Answer:
290°
Step-by-step explanation:
The bearing of X from Z can be calculated for as shown in the attached photo.
How do u find the density of a sphere
Answer:
Step-by-step explanation:
The formula to find density of a sphere is mass/volume.
Density in simple words means the relation between weight and size of a substance. It is basically related to the compactness of a substance.It is a very useful characteristic and every material has density.
To calculate density, we must calculate the mass and volume of the substance.
p=m/v
where p= density, m= mass of substance, v= volume of substance
Formula to calculate the volume of a sphere = 4/3 [tex]\pi r^{3} \\[/tex]
Therefore, density p =[tex]m/4/3\pi r^{3}[/tex]
p = 3m/4 [tex]\pi r^{3} \\[/tex]
To learn more about density: https://brainly.com/question/1354972
is 1/7 greater than -5? Or is it less than?
Answer: Greater than
Step-by-step explanation:
1/7, no matter how small, is a positive number, and a positive number is always greater than a negative number, as visualized on a number line.
r varies directly as s. Find r when s=10 and k=4
Step-by-step explanation:
Since, r varies directly as s
[tex] \therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}[/tex]
Answer:
40
Step-by-step explanation:
r = ks = 4(10) = 40
A rectangular park is 6x + 2 ft long and
3x + 7 ft wide. In the middle of the park is
a square turtle pond that is 8 ft wide. What
expression represents the area of the park not
occupied by the turtle pond? SEE EXAMPLE 6
The area of the park not occupied by the turtle pond= [tex]18 x^{2} + 48x -50 ft^2[/tex]
The length of the rectangular park given here is = [tex]6x + 2[/tex]
The breadth of the rectangular park given here is = [tex]3x + 7[/tex]
To calculate the area of the park (rectangle), firstly you are required to do = Length * breadth
So as per the values given in the question, you need to do = [tex](6x+2)(3x+7)[/tex]
After multiplying the above-given values, you will get
= [tex]18 x^2 + 42x + 6x+14 -64[/tex]
After simplifying the above value, you will get the final value or the area of the park not occupied by the turtle pond = [tex]18 x^2 + 48x -50 ft^2[/tex]
To know more about the area of a rectangle:
https://brainly.com/question/8663941
To calculate the area of the park not occupied by the pond, first compute the total area of the park as (6x + 2)(3x + 7). Then subtract the area of the square pond, 64 sq. ft, to get the final expression for the unoccupied park area: (6x + 2)(3x + 7) - 64.
Explanation:The subject of this question is Algebra, specifically forming an expression for the area of a rectangle and subtracting the area of a square. First, calculate the total area of the rectangular park. The area of a rectangle is given by the product of its length and width. So, the total area of the park is (6x + 2)(3x + 7).
Second, find the area of the turtle pond. Since it's a square with a side length of 8ft, its area is 8*8 = 64 sq. ft.
Finally, to find the area of the park that is not occupied by the turtle pond, subtract the area of the pond from the total park area. So, the final expression is (6x + 2)(3x + 7) - 64.
Learn more about Area Subtraction here:https://brainly.com/question/31849975
#SP
how can you get 3 1/2x alone on the left side of the equation 3 1/2 x + 215 = 495? what is the resulting equation?
Answer:3 1/2x = 280
Step-by-step explanation: Subtract 215 from both sides.
Answer:
subtract 215 from both sides
x = 80
Step-by-step explanation:
to get the 3 1/2 x alone subtract 215 from both sides.
this moves it to the other side.
495-215 =280
3 1/2 x = 280
divide both sides by 3 1/2
this will solve for x
x = 80
Can you please help me solve J/7 = -6
Answer:
The answer is J = -42
Step-by-step explanation:
if j/7 = -6
Then J = -6 ×7
J = -42
Find the area of this figure. Show your work or explain your logic.
Answer:500 units square
Step-by-step explanation:Area= length times width
The length is 20 the down arrows are 5+10+5=20 so that's the width
20 times 20=400
2 boxes on the sides are 5 times =50
400+50+50=500
Help me on 14 and 15
Answer:
#14:He has enough gas because he has 3/4 and it is equivalent to 0.75 and 1/4 is equivalent to 0.25 if you add 0.25 twice you get 0.50 therefore you have 0.25 of gas left over
i hope this helps
Answer:
10/12 -8/12 this is like subtracting 10 -8 =2 you keep the denominator which is 12 and u end up with 2/12 simply and you get 1/6
What plus what equals 4 but multiplies to equal -5?
the table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin convention. write and evaluate an expression for the total number of people who registered at the convention.
Twins: 2697
Triplets: 29
Quadruplets: 2
Quintuplets: 1
Order of operations 1.3
Answer:
5494
Step-by-step explanation:
Assuming all members of each set registered, the total number is ...
2(2697) +3(29) +4(2) +5(1) = 5494
__
Since you're concerned with order of operations, perhaps you want to see the working out.
= 5394 + 87 +8 +5 . . . . perform all the multiplications
= 5481 +8 +5 . . . . . . . . . perform addition left to right
= 5489 +5
= 5494
Classify these numbers as rational or irrational
-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.
Step-by-step explanation:
The rational number can be written in the form of fraction that can be simplified into a integer.The irrational number cannot be written in the form of fraction.-4/5 is a rational number.
Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator. .
√2 is irrational.
Reason: since it cannot be written as a fraction.
2.5 is rational number.
Reason: It can be written in the form of fraction such as 5/2.
0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number
Reason: because it an integer.
√16 is rational.
Reason: It can be simplified as +4 or -4 which are integers.
Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?
what is equivalent to [tex](3^6)3[/tex]
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS
For this case we must indicate an expression equivalent to:
[tex](3 ^ 6) ^ 3[/tex]
For properties of powers we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So, the above expression can be rewritten as:
[tex](3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}[/tex]
Thus, the resulting expression is: [tex]3^{ 18}[/tex]
Answer:
[tex]3^{ 18}[/tex]
Option D
Which shows two triangles that are congruent by the sss congruence theorem?
Answer: Triangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
Step-by-step explanation:
Answer:
D is the correct answer if you have this pic in your question then its this one pls like if its right thanks
Step-by-step explanation:
I need help please and thank you
Answer:
c = 13
Step-by-step explanation:
2 ways of going about in this problem
1. If you have done enough Pythagorean theorem problems, you might be able to memorize some common right triangle side lengths, such as 3-4-5 or
5-12-13
2. actually using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex], where c is hypotenuse
c = [tex]\sqrt{5^2+12^2}[/tex]
c = [tex]\sqrt{169}[/tex] = 13
What is 0.82 divided by 0.0082
Answer:
100 . -angie :) . pls trust me
dont forget to mark me brainliest!
Answer: [tex]100[/tex]
Step-by-step explanation:
Move the decimal to the left 2 times to get your answer
Before:
.82
After:
0.0082
You Move the decimal 2 times to the left to get your answer.
If your answer was 10 you will move the decimal 1 time to the left and get 0.082
PLZ HELP ME 3 MINS LEFT 100 POINTS AND BRAINLEIST
Answer:
width = 12.1
equation : P = 4w + 4.6
Answer:
The width of the rectangle is 12.1 meters
Step-by-step explanation:
Step 1: Find the width
2w + 2(w + 2.3) = 53
2w + 2w + 4.6 = 53
Step 2: Combine like terms
2w + 2w + 4.6 = 53
4w + 4.6 = 53
Step 3: Subtract 4.6 from both sides
4w + 4.6 - 4.6 = 53 - 4.6
4w = 48.4
Step 4: Divide both sides by 4
4w / 4 = 48.4 / 4
w = 12.1
Answer: The width of the rectangle is 12.1 meters
Deion Sanders can run the 40 yard dash in 4.19 seconds. At this rate, how long would it take him to run a mile?
**hint** There are 1760 yards in a mile.
Approximately 3:07 minutes Approximately 184.36 minutes Approximately 420 seconds Approximately 7 minutes
Answer:
184.36
Step-by-step explanation:
If you times 40×45=1760 so you have to times 4.19×44= The answer/ 184.36
Deion Sanders would approximately take 3 minutes and 7 seconds to run a mile at his 40 yard dash pace of 4.19 seconds, calculating his speed and using the number of yards in a mile to find the total time needed.
To calculate the time it would take Deion Sanders to run a mile at his 40 yard dash pace, we first determine his speed over that distance. We know he runs 40 yards in 4.19 seconds, so we can calculate his speed as follows:
Speed = distance / time
Speed = 40 yards / 4.19 seconds
Speed = 9.55 yards/second (approximately)
Since there are 1760 yards in a mile, to find out how long it will take to run a mile, we divide the total yards in a mile by the speed:
Time to run a mile = distance / speed
Time to run a mile = 1760 yards / 9.55 yards/second
Time to run a mile = 184.293 seconds (approximately)
Converting seconds to minutes yields approximately:
184.293 seconds = 3.07155 minutes (184.293 seconds / 60 seconds per minute)
This result shows that at Deion Sanders' 40 yard dash speed, it would take him approximately 3 minutes and 7 seconds to run a mile.
Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.
Answer:
16
Step-by-step explanation:
Set up a proportion: 27/12=36/n
Solve algebraically: 27n=432
n=16
Therefore, 16
Need ASAP i will give 10 points
How many data points are missing on the scatter plot graph, if any? A) 0 B) 1 C) 2 D) 3
Answer:
B) 1
Step-by-step explanation:
There are 8 pairs of data in the table but only 7 points plotted in the graph,
hence there must be 1 point that is missing from the graph.
It turns out that the missing point that was not plotted is (10, 2.5)
Answer:
B) 1
Step-by-step explanation:
In Mrs. Williams class there are 13 students. They each have 4 pieces of white paper. Some of the students, s, also have 3 pieces of blue paper each. In all, the students have 64 pieces of paper. Which equation represents this situation?
A. (13 × 3) + s = 64
B. (s × 3) + 13 = 64
C. s × 3 = 64
D. (13 × 4) + (s × 3) = 64
Answer:
answer is D
Step-by-step explanation:
the pizza restaurant has a special offer today 3 pizzas for $25. the soccer team is ordering pizza. if each player eats 1/4 pizza, how many players will 3 pizzas serve?
Answer:
The 3 pizzas will serve 12 players
what value of a makes the equation true?
a+29=-63
I need help!!
Answer:
a = -92
Step-by-step explanation:
Step 1: Subtract 29 from both sides
a + 29 = -63
a + 29 - 29 = -63 - 29
a = -92
Answer: a = -92
Answer:
-92
Step-by-step explanation:
a + 29 = -63
- 29 = -29
a = -63 - 29
a = -92
Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she drive on Monday than Tuesday?
Final answer:
Savannah drove 144 more miles on Monday than she did on Tuesday, calculated by subtracting Tuesday's mileage from Monday's.
Explanation:
The student is asking how many more miles Savannah drove on Monday than Tuesday. To calculate this, we simply subtract the number of miles driven on Tuesday from the number of miles driven on Monday.
Miles driven on Monday: 716 miles
Miles driven on Tuesday: 572 miles
To find the difference in miles, we use the following equation:
716 miles (Monday) - 572 miles (Tuesday) = 144 miles
Therefore, Savannah drove 144 more miles on Monday than on Tuesday.
Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then by the time he went to bed, the temperature dropped by 14 degrees.
Write an addition expression for the temperature relative to when Iko woke up.
Answer:
[tex]T_t=x\textdegree-3\textdegree[/tex]
Step-by-step explanation:
let x° be temperature when he woke up. Given that the temperature rose by 11° then later dropped by 14°. Also let [tex]T_t[/tex] be temperature at time t The temperature relative to time of waking up can be expressed as:
[tex]T_t=x\textdegree \pm \bigtriangleup T\textdegree\\\\T_t=x\textdegree + 11\textdegree -14\textdegree\\\\T_t=x\textdegree-3\textdegree[/tex]
Hence, temperature relative to time of waking up is expressed as
[tex]T_t=x\textdegree-3\textdegree[/tex]
A vegetable garden and a surrounding path are shaped like a square that together is 12 ft wide. The path is 1 foot wide. Find the total area of the vegetable garden and path.
Answer:
144 square feet
Step-by-step explanation:
The 12-foot width apparently includes the garden and path, so the desired area is that of a 12-foot square:
A = s² = (12 ft)² = 144 ft²
The area of the garden and path is 144 square feet.