Answer:
0.7 : 0.35=2
It's true.....
[tex] \bigstar \: \underline{ \underline{ \tt{Question}}} : [/tex] In the given figure , M and N are the centres of two intersecting circles. Prove that :
i. PQ [tex] \perp[/tex] MN
ii. PR = RQ
~Thanks in advance! <3
Answer:
See Below.
Step-by-step explanation:
We are given two intersecting circles with centers M and N.
And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.
Since MP and MQ are radii of the same circle:
[tex]MP\cong MQ[/tex]
Likewise, since NP and NQ are radii of the same circle:
[tex]NP\cong NQ[/tex]
And by the Reflexive Property:
[tex]PQ\cong PQ[/tex]
Therefore, by SSS Congruence:
[tex]\Delta MPN\cong \Delta MQN[/tex]
By CPCTC:
[tex]\displaystyle \angle PMN\cong \angle QMN[/tex]
And by the Reflexive Property:
[tex]MR\cong MR[/tex]
And since they are the radii of the same circle:
[tex]MP\cong MQ[/tex]
Therefore, by SAS Congruence:
[tex]\Delta MPR\cong \Delta MQR[/tex]
Therefore, by CPCTC:
[tex]PR\cong RQ[/tex]
Note that PQ is a chord in Circle M.
Therefore:
[tex]\text{Segment $MN$ bisects chord $PQ$}[/tex]
In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.
And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.
So:
[tex]\displaystyle PQ\perp MN[/tex]
Answer:
Step-by-step explanation:
First step is to prove triangle MPN ad MQN are congruent.
MP=MQ, radius of circle M
NP=NQ, radius of circle N
we have two S in SAS and for A, we need to prove angle MPN = MQN
consider triangle QMP, it is isosceles so angle MPQ = MQP
consider triangle QNP; it is isosceles so angle QPN = PQN
combining the two above
angle MPN = MPQ+QPN = MQP+PQN = MQN
By SAS, triangle MPN and MQN are congruent
By symmetry, MN is perpendicular to PQ
It also disects PQ so PR = RQ
WILL MARK BRAINLIEST!!
Find the values of x and y
Answer:
Y = 5.8
X = 2.887
Step-by-step explanation:
to get X
[tex] \tan( 30 ) = \: \frac{x}{5} \\ x = \tan(30) \times 5 \\ x = 2.887[/tex]to get Y
using pythagoras theorem [tex] {y}^{2} = {2.88}^{2} + {5}^{2} \\ \\ {y}^{2} = 8.33 + 25 \\ \\ y = \sqrt{33.33} \\ y = 5.8[/tex]Answer:
y - 5.8
x - 2.887
pleasee mark Brainliest
I need to find the number between - 2 2/5 and -2 1/10 The possible answers are -3/10, -2 1/2, -1 5/6, -2 1/4 and why.
Answer:
-2 1/4
converting the fraction to decimals
-2 2/5 = -2.4
-2.1 = -2 1/10
-2 1/4 = -2.25
this is between -2.1 and -2.4 on the number line
Step-by-step explanation:
to determine which number is between the numbers specified, convert to fractions
-2 2/5 = -2.4
-2.1 = -2 1/10
-2 1/4 = -2.25
3/10 = -0.3
this is less than -2.1
-21/2 = -2.5
this is greater than -21/4
-15/6 = -1.83
this is less than -2.1
it is only, -21/4 that is between the numbers
help mmeee pleaseeeee i need thr grade
Answer:
B. 7 3/4
Step-by-step explanation:
31/4= 7.75
7.75= 7 3/4
Answer:
7 3/4
Step-by-step explanation:
I hope this helps!!! I hope you have an amazing week<3
Please help me as soon as possible; your help is highly appreciated .The topic is Probability. I will give 5 stars rating to whoever helps me first ,and correctly does so.
A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:
D and E.
The baseball bat is originally sold for $65.
It has a discount of a 15%, then the new price is given by:
P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25
So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25
The correct options are:
D: $60
E: $80
With these two you could pay the complete cost of the discounted bat.
If you want to learn more, you can read:
https://brainly.com/question/2730006
Erica babysits for 4 1/2 hours and is paid $27 . If the people she babysits for have $31.50 to pay her, how long can they stay out?
Answer:
5.25 hours or 5 1/4 hours
Step-by-step explanation:
According to the scenario, calculation of given data are as follows,
Total time = 4 1/2 hours or 270 mins
Total payment = $27
First we calculate the time for $1, then
So, $27 = 270 mins
$1 = 270 ÷ 27 = 10 mins
Now, we can calculate total time in $31.50 by using following formula,
Total time in $31.50 = 10 mins × 31.50
= 315 mins
= 5.25 hours or 5 1/4 hours
9.59 x (2^6 ) + 7x8i need helpp on this one pleaseeeeee
Answer:
simplify: 9.59x(2^6)+7x^8
613.76x+7x8 =7x^8+613.76x
factor: 7x^8+613.76x
x(7x^7+613.76) =x(7x^7+613.76)
brainliest please?While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
, √4, 2√3, √6
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest
tenth. You must show your work for the square roots to receive credit. You must use the method
shown in this unit.
(b) Order the ribbon sizes from least to greatest.
Answer:
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
, √4=√2²=2inches
2√3,=2×√3=2×1.735=3.5inches
√6=√2×√3=1.4×1.7=2.4inches
In order
2 inches,2.4inches and 3.5 inches.
Answer:
Step-by-step explanation:
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
, √4=√2²=2inches
2√3,=2×√3=2×1.735=3.5inches
√6=√2×√3=1.4×1.7=2.4inches
In order
2 inches,2.4inches and 3.5 inches.
convert 64 quarts to gallons
Answer:
16 gallons
Step-by-step explanation:
Which expression is equivalent to 3 X (6 + 5)?
Help
Answer:
D. (3×6)+(3×5).
Step-by-step explanation:
You need to multiply the numbers than add.
Answer:
it would be D
Step-by-step explanation:
Remember to do PEMDAS, and because the first two don't equal 33 (which is the end result you are looking for) it would be D since it is the only equation that equals 33
What's the equation for a circle of (2,-5) and a radius of 2
Answer:
(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.
Step-by-step explanation:
Answer:
(x - 2)^2 + (y + 5)^2 = 2^2
Step-by-step explanation:
Adapt the standard equation of a circle with center at (h, k) and radius r:
(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2
What is the decimal equivalent of Two-sixths?
0.3
0.3
0.6
0.6
Can someone helpp I’m taking a test?
Hello! I need a bit of help with this problem.
Answer:
I'm pretty sure it's 15 for orange and 30 for blue
Find the circumference
Answer:
C=2πr
C=2π(1.9) cm
C=11.94 cm
Step-by-step explanation:
radius of a circle (r)=1.9 cm
Circumference of a circle (C)=?
We know that,
C=2πr
C=2π(1.9) cm
C=11.94 cm
So, the circumference of the circle is 11.94 cm.
There are 144 square inches in 1 square foot. How many square inches are in 2.5 square feet?
Answer:
360 square inches
Step-by-step explanation:
There are 360 square inches in 2.5 square feet.
To find out how many square inches are in 2.5 square feet, we need to multiply the number of square feet by the conversion factor.
Given that there are 144 square inches in 1 square foot, we can set up a proportion to solve for the number of square inches in 2.5 square feet:
1 square foot = 144 square inches
2.5 square feet = x square inches
Setting up the proportion:
1 square foot / 144 square inches = 2.5 square feet / x square inches
Cross-multiplying the proportions:
(1 square foot) x square inches = 144 square inches (2.5 square feet)
Simplifying the equation:
x square inches = 144 square inches (2.5 square feet)
Multiplying the values:
x square inches = 360 square inches
Therefore, there are 360 square inches in 2.5 square feet.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ6
The distance between the school and the house of a student living in a village is 2km 125m. Every day he covers the distance both ways by walking. Find the total distance covered by him in 4 days.
Answer:
17,000m
or 7 km
Step-by-step explanation:
distance covered in 4 days = total distance x 2 x 4 days
convert the total distance to meters
(1000m x 2) + 125 = 2125m
total distance = 2125 x 2 x 4 = 17,000m or 7km
6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?
Answer:
18 eggs
Step-by-step explanation:
first we divide 24 by 8 to see how many eggs are in one omlete
24/8=3
Now we take 3 times 6 ( because there is 6 people you are making it for)
6x3=18
18 eggs
If you need more help I would love to help!
Answer:
18 eggs
Step-by-step explanation:
1: x/24=6/8
2: 24*6=144-(1st step for cross multiplication)
3: 144/8=18-(2nd step for cross multiplication)
4: 18 eggs-(final answer)
Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)
A number divided by six is 7
1cm 8cm 4cm: surface area
Answer:
Perimeter of Triangle sum of all sides.
=13 cm
Answer:
heres ur answer good luck
https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx
Step-by-step explanation:
find the solution of given expression,
[tex] \sqrt{216 \times 6} [/tex]
Answer:
Solution given
:[tex] \sqrt{216 \times 6} [/tex]=[tex] \sqrt{36²} [/tex]=±36 is your answer
Find the area of the given triangle.
I need an answer! NO LINKS! PLS ill give brainlist
Answer:
c
Step-by-step explanation:
yeah its me again you are smart im not and this assignment is due in literally 5 mins i need yalls help please ;-;
Answer:
x = 2
Step-by-step explanation:
5 ÷ 2 1/2 =
5 x 2/5 = 10/5 = 2
Answer:
I think it is 2
Step-by-step explanation:
5 ÷ 2 1/2 =2
A line has a slope of Negative one-half and a y-intercept of –2.
A coordinate plane.
What is the x-intercept of the line?
–4
–1
1
4
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The answer is 1, you need to do the Math correctly.
What’s the growth factor of f(x)=500(1+.12)^x
Answer:
Step-by-step explanation:
The growth factor is (1 + 0.12), which is the same as 1.12.
How to solve (7.1 × 10−5)(6.7 × 10−6)??
Please help by giving step-by-step explanations.
Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)
(
7.1
⋅
10
−
5
)
(
6.7
⋅
10
−
6
)
Group coefficients together and exponents together to multiply numbers in scientific notation.
(
7.1
⋅
6.7
)
(
10
−
5
⋅
10
−
6
)
Multiply
7.1
by
6.7
.
47.57
(
10
−
5
⋅
10
−
6
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
47.57
⋅
10
−
5
−
6
Subtract
6
from
−
5
.
47.57
⋅
10
−
11
Write
47.57
⋅
10
−
11
in proper scientific notation.
4.757
⋅
10
−
10
Answer:
4026
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
MD - Multiplication and Division (Left to Right)
AS - Addition and Subtraction (Left to Right)
------------------------
Start off by doing the parenthesis (7.1 x 10-5)
We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!
So far we have: 66(6.7 x 10-6)
But we aren't done yet!
You must solve (6.7 x 10-6)
Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.
We now have (66)(61)
When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.
Thus, the answer is 4026!
P.S please mark brainiest, this took time <3
Last year the schools newspaper so if full page ad for $16.50 each of H half page is $9.60 each day school they plan to increase the cost of 8 x 50% which expressions represent the total amount the school newspaper will earn from selling the same number of four and half page ad this year
Question isn't well formatted, however. From what can be gathered form the question :
Options are given
Answer:
4(1.5 * 16.50) + (1.5 * 9.60)
$113.40
Step-by-step explanation:
Last year:
Cost of full page ad = $16.50
Cost of half page ad = $9.60
50% increase in ad price this year :
Price, this year :
Full page = 1.50 * 16. 50 = $24.75
Half page = 1.50 * $9.60 = $14.4
Expression :
4(1.5 * 16.50) + (1.5 * 9.60)
Cost of a 4 and 1/2 page ad :
Full page = 4 * $24.75 = $99
Half page = 1 * $14.4 = $14.40
Total cost = $(99 + 14.40) = $113.40