Answer:
See Explanation
Step-by-step explanation:
3.
XY is tangent at P and CP is radius
[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\
\therefore m\angle CPX = 90\degree \\[/tex]
4.
Radius of the circle = diameter /2 = 13/2 = 6.5.cm
5.
For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.
[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.
Let us work it out:
[tex] AD^2 = 7^2 = 49....(1)\\
AB^2 + BD^2 = 5^2 +5^2 \\
AB^2 + BD^2 = 25 + 25 \\
AB^2 + BD^2 = 50....(2) \\[/tex]
From equations (1) & (2), it is obvious that:
[tex] AD^2 \neq AB^2 + BD^2[/tex]
So, BD is not tangent to the[tex] \odot\: C. [/tex]
6.
Tangents drawn from an external point to a circle are congruent.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD
x = 4
7.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BD = BA (tangents drawn from external point to a circle)
x = 2
8.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD (tangents drawn from external point to a circle)
2x = 10
x = 10/2
x = 5
Shaq wants to buy a jacket that is 45% off. The original price is
$133.82.
What is amount of discount (nearest penny)?
What is the sale price (nearest penny)?
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
Answer:
$26 dollars
Step-by-step explanation: when you divide 156 divided by 6 you get 26
Answer:
26 dollars per ticket
Step-by-step explanation:
156/6=26
26x6=156
Choose the parabola that represents the trinomial below by finding the
correct vertex.
x2 + 7x + 12
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
Answer:
$180
Step-by-step explanation:
Simple interest formula:
I = R x T x P divided by 100
=(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
A car traveling along a long straight highway at a constant speed passes a rest area. The distance d, in miles, the car must travel to reach the next rest area as a function of the time t, in hours, is modeled by d(t) = 100 - 65t . a) What does the 100 represent in the context of the problem? b) What does the 65 represent in the context of the problem?
Answer:
100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling
Can anyone tell me the answer please ??
HELP MEEE. :)
giving out brainliest
Answer:
(5, 7)
Step-by-step explanation:
before the translation, A is (2, 5)
by adding 3 to A and 2 to y, we get (5, 7)
what is the value of this expression below when w=10 and x=7
10w-7x
Answer:
=51
Step-by-step explanation:
10w - 7x
10(10) - 7(7)
100 - 49
=51
85 ÷5 jejeisisossjjxjsjsjskkskxkxkxo
Answer:
17
Step-by-step explanation:
The temperature of a pot of water is 50⁰ F. The temperature rises 15⁰ per minute. Write an equation below in y=mx + b form to express this situation.
Answer:
The equation to express this situation is y = 15x + 50.
Step-by-step explanation:
Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.
And the temperature rises 15⁰ per minute.
So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.
And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.
Compute the equation to express this situation as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]
Thus, the equation to express this situation is y = 15x + 50.
Answer plzzzz!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answer:
the answer is B
Step-by-step explanation:
We can visualize in this picture that there's angles that are facing each other and 2 sides one tops and one on the side.
Find the y-intercept of the line on the graph.
Enter the correct answer
plz help asap i need the right answer who ever is right get brainiest
X=18
Step-by-step explanation:
Trick or treaters went trick or treating in their neighborhood,if there are 40 homes in the neighborhood and 3/4 of them were home to give out candy,how many homes did they visit
What is the value of 2/11 divided by 3/11? *
5 points
6/121
2/3
3/2
121/6
Answer:
the answer is 2/3
Step-by-step explanation:
(2/11)/(3/11)=2/3
Answer:
Exact Form:
2 /3
Decimal Form:
0. 6 repeating
Step-by-step explanation:
Hi can someone please help me with this question!!!!! Please!
I will mark you brainlest
Answer:
C. 40
Step-by-step explanation:
Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200
That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.
164800 - 139200 = 25600
Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40
So there's 40 students
If the price of a shirt is $25, then express the price of n shirts.
A.$25/n
B.$25n
C.$25+n
D.$25-n
E.n/$25
Answer:
B. ($25n)
Step-by-step explanation:
Due to it being n shirts, the price is $25 plus itself n times.
Hence, the price is $25n.
Hope this helped!
given the graph g(x), find g(-6)
Answer:
+2
Step-by-step explanation:
Draw a vertical line through x = -6. Determiene the corresponding y-value. It is +2. This is g(-6).
The value of the function g(x) when x = - 6, g(-6) is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x).
Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.
From the graph, we observe that when x = - 6, y = 2.
So, The value of g(-6) = 2.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
Which word describes the relationship of the points (3, 1)
and (3, 6)?
O A) collinear
OB) parallel
OC) perpendicular
OD) coincident
Answer:
where is the diagram dude
i think u wolud be having a digram of it
Find the GCF of 24, 48, and 480.
Answer:
The common factors for 24 , 48 , 480 are
1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
The GCF (HCF) of the numerical factors 1,2,3,4,6,8,12,24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Prime factorization.
24= 2*2*2*3
48= 2*2*2*2*3
480= 2*3*2*5*2*2*2
The numbers that appear the most often for all 3 numbers is: 2, 3, 4. I got 4 because of 2*2.
Multiply 2*3*4 which equals 24. The GCF of 24, 48, and 480 is 24.
Please Answer ASAP
Evaluate the expression for m = 8, n = 11, and p = –3.
what is mp − m − n =
Answer:
-43
Step-by-step explanation:
m=8, n=11, and p=-3
mp=8x-3=-24
-24-m=-24-8=-32
-32-n=-32-11=-43
Hi there can you solve this math problem?
Is mayonnaise an instrument? 2+2=?
Answer:
Hi.
No Patrick, mayonnaise is not an instrument. Horseradish isn't either.
Step-by-step explanation:
2 + 2 = 4.
When you do 2 of something and add another 2 of something, you get 4 somethings.
I hope this helps!
The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is
Incomplete question.
7a(3b - 2c + 4)
Help?
Answer:
21ab-14ac+28aStep-by-step explanation:
[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
I need help plz like ASAP
I will give you a Brainist if you answer first
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat?
Answer:
The directional earing is N 30° E
Step-by-step explanation:
The given velocity vector is (25, 25·√3), therefor, we have;
R = 25·i + 25·√3·j
The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)
Where;
(x, y) = The coordinate of the components of the velocity of the boat
Therefore;
Arctan (y/x) = Arctan (25·√3/25) = Arctan (√3) = 60° North of East
The directional bearing which is the bearing relative to the northern direction is given as follows;
The directional earing = 90° - 60° = N 30° E.
Answer:
A on Egde
Step-by-step explanation:
i got it right
Y'all I need HELPPPPPP
Answer:
x = 13
arc RQ = 160°
Step-by-step explanation:
The length of smaller arc RQ is twice of the inscribed angle it sees
(5x + 15) × 2 = 10x + 30
9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms
25x + 35 = 360
25x = 360 - 35
25x = 325 divide both sides by 25
x = 13 now the measure of arc RQ
10x + 30 ➡ 10 × 13 + 30 = 160°
Raj made a profit of $890 selling T-shirts. He wants to share the profit equally among three charities. How much should he give to each charity?
Answer:
890/3 thats the anwser
Step-by-step explanation:
Can someone help me this is due today
Answer:
13 miles
Step-by-step explanation:
It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.