Answer:
.
See the diagram attached below.
Let the chords be AB and AC with common point A.
AD is the diameter. Join B with D and C with D to form two triangles.
We need to prove that AB=AC.
\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}
In △ABD and△ACD;
Given that ∠BAD=∠CAD−−−−(condition 1)
since AD is diameter,∠ABD=∠ACD=90
0
So ∠ADB=∠ADC−−−−−−−−(condition 2)
AD=AD (common side)−−−−−(condition 3)
So the triangles are congruent by ASA rule.
Hence AB=AC.
Solve the system of linear equations by elimination.
2x+5y=16
3x−5y=−1
Denine sees a 2.8-kilo block of cheese.
If there are 2.2 pounds in 1 kilogram (kilo), what is the weight of the block of cheese in pounds?
Answer:
1.27
Step-by-step explanation:
what is a triangle with a 90 degree angle
Step-by-step explanation:
It's a right angled triangle.
Find the quotient.
(12x^2 - 10x-12) = (3x + 2)
2x-3
4x + 6
3х + 2
4x - 6
(12x^2-10x-12)÷(3x+2)
=(2x-3)(3x+2)÷(3x+2)
=(2x-3)
Step-by-step explanation:
Answer would be (2x-3)
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary
Answer:
666.67π .ft^3
here's your solution
=> radius of cone = 10 ft
=> height of cone = 20 ft
=> volume of cone = πr^2h/3
=> putting the value of radius and height
=> volume = 10^2*20/3π
=> volume = 666.67π .ft^3
hope it helps
Solve the equation 18+a= -5
Answer:
The answer is -23
Step
The table shows the production cost for various quantities of widgets made.
Answer:
Step-by-step explanation:
First find the rate of change or slope denoted as m
m=(y2-y1)(x2-x1) we can find the slope with any two points.
m=(35000-25000)/(600-200)
m=10000/400
m=25
Now that we know the slope we can find the y intercept or original cost
C(n)=25n+b, using any point we can solve for b, I’ll use (200, 25000)
25000=25(200)+b
25000=5000+b
b=20000 so now we know the complete equation.
C(n)=25n+20000
Answer C.
Hegarty please help me
Answer:
wait let me try and see this carefully and then I will help you
Which is more, 1 quart or 3 cups?
Answer:
1 quart is more.
Step-by-step explanation:
1 quart =4cups so 1 quart is more.
Answer:
1 liquid quart is more then 3 cups because 1 quart is the same as 4 cups and 4 cups is more then 3 cups...
-14x=168
Solve for x. Show your work
Answer:
The value of x = -12
Step-by-step explanation:
Given:
Equation;
-14x=168
Find:
The value of x
Computation:
-14x = 168
Divided -14 from both side
-14x / 14 = 168 / 14
- x = 12
The value of x = -12
a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon?
a) 3 1/8
b) 1/8
c) 8
d) 8/25
Answer:
b) 1/8
Step-by-step explanation:
5/8 ÷ 5 = 1/8
The unit rate in cups per teaspoon is 1/8 cup of sugar.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
5/8 cup of sugar=5 teaspoons of vanilla.
or, 5 teaspoons of vanilla = 5/8 cup of sugar
So, 1 teaspoon of vanilla = (5/8)/5 cup of sugar
(5/8)/5 = (5/8)*(1/5)
(5/8)/5 =1/8
So, 1 teaspoon of vanilla = 1/8 cup of sugar
Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.
To get more about unitary methods visit:
https://brainly.com/question/24587372
Simplify the below Question and solve, based on linear equations in 2 variables
Answer:
x=-1/2
Step-by-step explanation:
hope it helps you
have a great day:)
PLZ HELP WITH MATH!!!
Answer:
128 in.^2?
Step-by-step explanation:
a rectangle is also a parallelogram, so find the area of the rectangles.
if it is a 30-60-90 triangle, 8 inches is x, and to find the sides, it is either (x)sqrt(3), or in this case, 2x, so 16x8= 128?
Help with number 1 please.
Answer:
Step-by-step explanation:
The diagram shows triangle ABC.
Which statement would prove that triangle ABC is a right triangle?
a. The slope of segment AB and the slope of segment BC = 1
b. The slope of segment AB and the slope of segment BC = -1
c. The slope of segment AB is 1 and the slope of segment BC is -1
d. The distance from A to B is equal to the distance from B to C
The statement where it proved that triangle ABC is a right triangle should be option b. The slope of segment AB and the slope of segment BC = -1
Right triangle:We know that in the right triangle both the legs should be perpendicular to each other also the product of slopes of perpendicular should be - 1.
So based on this, we can say that the slope of segment AB and the slope of segment BC is equivalent to -1
Therefore, the option b is correct.
Learn more about triangle here: https://brainly.com/question/24283305
Find x. Help.............
Answer:
X =33
Step-by-step explanation:
6x-18=180
6x = 198
X = 33
Enter non-integer answer as a decimal.
**Notice, it is going to hit right at the point (8,175) where the arrow touches**
Answer:
Step-by-step explanation:
mi/gal=175/8, as a decimal
21.875 mi/gal
x - 9 = 21
What does x =
Answer:
x=30
Step-by-step explanation:
You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!
help pls ! I’ll mark brainliest
Answer:
[tex]y = x + 3[/tex]
Step-by-step explanation:
Y in math is usually referred as the output.
X is usually the input.
In other words,
y is 3 more greater than x.
In other words,
[tex]y = x + 3[/tex]
A circle whose center is (2,0) and passes through the point (-5,0).
Answer:
2791
Step-by-step explanation:
Yea
Find the Roots of the following polynomial.
x3−5x2+6x = 0
Answer:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
STEP
1
:
Equation at the end of step 1
((x3) - 5x2) - 6x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
x3 - 5x2 - 6x = x • (x2 - 5x - 6)
Answer:
x≈1.30027097
Step-by-step explanation:
That is the answer
Hope this helps :)
What is the distance between points (4,214) ( 4 , 2 1 4 ) and (4,712) ( 4 , 7 1 2 ) on a coordinate grid?
Answer:
5 1/4 units
Step-by-step explanation:
What is the distance between the points round to the nearest tenth if necessary (-7,-4) (4,5)
Answer:
-3 and 1
Step-by-step explanation:
Decide whether 2 x + 8 and 2(× + 4) + 4 are equivalent expression. explain how you know.
Answer:
They are not equivalent
Step-by-step explanation:
2(x+4)+4
First you distribute the 2.
2x+8+4
Then combine like terms
2x+12
Therefore they are not equivalent
Rico complained to his brother that he had to rollover a payday loan seven times before finally saving enough money to pay it off. In the end it cost him $450. What finance charge was Rico paying the payday lender every two weeks if he originally wanted to borrow $250?
Answer:
He had to pay $28.57 seven times.
Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.
Answer:
Total fringe needed = 132 inches
Step-by-step explanation:
P.S - The exact question is -
Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.
To find - How much fringe does Alejandra need?
Proof -
Total fringe needed = Perimeter of the rectangle.
Now,
We know that,
Perimeter of the Rectangle = 2(Length + Width)
Now,
Given that,
Length = 44 inches
Width = one half the length
= [tex]\frac{1}{2}[/tex] × 44 = 22 inches
⇒Width = 22 inches
∴ we get
Perimeter of the Rectangle = 2(44 + 22)
= 2(66) = 132 inches
⇒Perimeter of Rectangle = 132 inches
∴ we get
Total fringe needed = Perimeter of the rectangle = 132 inches
⇒Total fringe needed = 132 inches
Which shows the numbers in order from greatest to least? A. 13 456 43 165 14 653 B. 13 456 14 653 43 165 (C.) 43 165 14 653 13 456 D. 43 165 13 456 14 653
Answer:
(C.) 43 165; 14 653; 13 456
Step-by-step explanation:
The numbers:
13, 456
43,165
14, 653
Arranging in order from greatest to least:
43,165; 14,653; 13,456
Option C is the correct answer
A. 13 456 43 165 14 653
B. 13 456 14 653 43 165
(C.) 43 165 14 653 13 456
D. 43 165 13 456 14 653
Complete the equation of the line through (3, -1) and (4, 7)
Answer:
y=8x-25
Step-by-step explanation:
first i find the slope which is 8 thennnnn
i substituted the x and y values and solved
then i just pieced it all together
Which table shows a probability distribution?
X 0 1 2 3
P −0.3 0.6 0.5 0.2
X 0 1 2 3
P 0.4 0.3 0.4 0.1
X 0 1 2 3
P 0.1 0.5 0.3 0.1
X 0 1 2 3
P 0.3 0.1 0.2 0.2
Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
When does a table represent a probability distribution?A table is formed by a set of points (x, P(x)), and represents a probability distribution if:
The sum of the probabilities is of 1.All probabilities are 0 or positive.In this problem:
In the first table, there is a negative probability, which is P(X = 0) = -0.3.In the second and the fourth tables, the sums are of 1.2 and 0.8, respectively.Hence, the table that represents a probability distribution is given as follows:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
More can be learned about a probability distribution at https://brainly.com/question/24855677
find the value of angel 0 to the nearest 10th
Answer: 36.9
Step-by-step explanation:
For this question you have to find out whether you are using Sin, Cos or Tan.
To work out which one you are using you can use SOH CAH TOA to help you.
SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.
As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.
So first you would have to write:
Tanθ=3/4
Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.
θ=Tan-1 3/4
To find the answer you would have to put it in your calculator.
θ=36.9
Hope this helps :)