Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
The proofing of each part should be explained below.
Prove:a.
In the case when
PR=PT in a triangle PRT,
So the triangle is an isosceles triangle.
Therefore, ∠PRT=∠PTR
Now
In ΔPRS and ΔPTS
PR=PT
So,
∠PRT=∠PTR
So,
PS=PS (PS is common)
ΔPRS≅ΔPTS
Hence proved.
2.
In the case when AB and CD are the diagonals of the rectangle,
So,
diagonals AB=CD, sides AC=BD and AD=BC
In ΔAEC and ΔBED,
So,
∠AEC=∠BED
That means
AE=BE
AC=BD
therefore, ΔAEC≅ΔBED
Hence Proved.
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What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
Lisa bought 16 1/2 pounds of sand for her
child’s sandbox she was building. What is
this in ounces?
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
3x+y=10
Which are solutions of the linear equation select all that apply
(1,6)
(2,4)
(3,1)
(4,-1)
(5,-5)
In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?
7:4
4:7
5:7
5:4
7:5
Answer:
7:5
Step-by-step explanation:
there are 7 cheetahs and 5 tigers soooooo
what are all the terms which are equivalent to the slope in a proportional relationship
Answer:
13
Step-by-step explanation:
well if you add the first parts then undwe rate the next you will get 13
The quotient of 56 and a number
Answer:
yes
Step-by-step explanation:
Given the following list of numbers, find the mean. 5,6,12,2,5,12,14
Answer:
the mean is 8
Step-by-step explanation:
added them all together and divided by 7
The mean of numbers will be 8.
What is Addition?
The process of combining two or more numbers is called the Addition.
Given that;
The numbers are,
⇒ 5,6,12,2,5,12,14
Now,
Since, The numbers are,
⇒ 5,6,12,2,5,12,14
Hence, The mean = 5 + 6 + 12 + 2 + 5 + 12 + 14 / 7
= 56/7
= 8
Thus, The mean of numbers will be 8.
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A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?
Answer:
p( black) = 2/3
Step-by-step explanation:
4 white + 8 black = 12 tiles
P ( black) = number of black / total
= 8 /12
= 2/3
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Name the theorem that lets you conclude that triangle and = cbd
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
Answer questions 3,4, and 7.
A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats. Let A= the total number of animals. Let C = the number of cats.
I do not know what answer you are looking for, but A would be double the amount of C. Without the number of cats, I do not know the total number of animals, vice versa.
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
Answer:
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
Step-by-step explanation:
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.
what is half of 3.5
1.25 Step-by-step explanation:
Answer:
1.75
Step-by-step explanation:
3.5/2 = 1.75
hope this helps
32. A volleyball team played 25 games. The ratio of games won to
games lost was 6:4. How many games did the team win?
Number of volleyball games team win is 15 games
Given that;Number of volleyball games = 25 games
Won to lost ratio = 6:4
Find:Number of volleyball games team win
Computation:Number of volleyball games teams win = 25[6 / (6+4)]
Number of volleyball games teams win = 25[6 / 10]
Number of volleyball games team win = 15 games
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Do any of you know this??
Answer:
wouldn't be 70°?
Step-by-step explanation:
30 + 40 = 70
5x - 4y = -8 x + 4y F-16
Hello? Someone please help me with this.
Answer:
16x-6
Step-by-step explanation:
well in order to do so
u have to multiply 2 to 8x to get 16x
and then, multiply the 2 to -3 to get -6
this is the distributive property form. and that's how u get ur answer
3(3) + 3(2/3)......................
solve for brain list asap
Answer:
i believe the answer to this x=8
4x-5+2r= -11
What is the value of x?
Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?
Answer:
$28.84
Step-by-step explanation:
That's for the first one that I found, the two other problems I don't know yet.
r/15≥-3 solve the inequality
Answer:
r≥-45
Step-by-step explanation:
r/15≥-3
Multiply each side by 15
r/15 * 15 ≥-3*15
r≥-45
composite numbers to 30
Answer:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, Step-by-step explanation:
Consider the following frequency table representing the scores on a test.
Scores on a Test
Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4
Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5
Answer:
(a)56
(b)47
(c)3
(d)29
Step-by-step explanation:
From the given frequency
(a) Fifth class is 56-59.
The lower class boundary for the fifth class is 56.
(b) Second class is 44-47.
The upper-class boundary for the second class is 47.
(c) Class width = 47-44 = 3, 47-44 = 3.
(d) Number of scores between 39.5 and 55.5 is
=7 + 7+ 7 + 8 =29