Answers
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
__
3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
Related Questions
The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?
Answers
what is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Answers
Answer:
y=-3.571
Step-by-step explanation:
To get rid of the x's make the other x cancel out the other.
5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571
Answer:
x+4y =10
5x-y =25
Step-by-step explanation:
x=10-4y
5(10-4y)-y =25
50-20y-y =25
50-21y = 25
-21y = 25-50
-21y =-25
y =25/21
Substitute y =25/21 in equation 1
x + 4(25/21) = 10
x +100/84 =10
x=10-100/84
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Answers
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°
how do i answer this please?
Answers
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
Translate the quadrilateral W(-2,2), X(-3,3), (-6,5), 2(-6,3)
using the transformation (x-2,y+3).
Answers
Answer:
New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)
Question 1
Simplify
5y - 2y + y + y
Answers
Answer:
5y
Step-by-step explanation:
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answers
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answers
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
Solve:
p−316=−212
What Is P?
Answers
Answer:
P=104
Step-by-step explanation:
-212+316=104
therefore p=104
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answers
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?
Answers
Answer:
16.7 years
Step-by-step explanation:
 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answers
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
Answers
Is this "N2 + 3H2 → 2NH3" balanced or no?
Answers
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y
Answers
Answer:
y
Step-by-step explanation:
Answer: I don't know I'm sorry
Which of the following equations has a solution that is negative?
a. – 0.4x + 4 = – 1.6
b. – 0.4(x + 1.6) = 1.6
c. – 0.4(– x + 1.6) = 1.6
d. – 0.4x – 4 + 1.6x = – 1.6
Answers
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
The equation with negative solution is -
- 0.4(x + 1.6) = 1.6
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as shown in the question.
The equation with the negative solution are -
- 0.4(x + 1.6) = 1.6
- 0.4x - 0.64 = 1.6
- 0.4x = 1.6 + 0.64
- 0.4x = 2.24
x = - (2.24/0.4)
Therefore, the equation with negative solution is -
- 0.4(x + 1.6) = 1.6.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ6
answers for both boxes please
Answers
Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
variable equation. It is relatively difficult to determine the values of x and y without manipulating the equations. If one adds the two equations together, the x s cancel out; the x is eliminated from the problem. Hence it is called the "elimination method”.
The Thomas' backyard pool is
rectangular in shape and is
similar to the rectangle formed
by their fenced backyard. The
backyard measures 12 feet long
and 9 feet wide. If the width of
the pool is 6 feet wide, what is
the length of the pool?
Answers
Answer: 8 feet
Step-by-step explanation:
help please ! so i can finish this assignment
Answers
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
HELP I NEED HELP ASAP
Answers
Answer:
Step-by-step explanation:
yes his work looks good
step 1 multiply both side by 2
step 2 subtract both side by 6
step 3 divide both side by 5
:)
Write a equivalent expression for (4n + 14) + (5 + 8n)
Answers
Answer:
= 12n + 19
Step-by-step explanation:
6. 188 students went on a field trip. Five buses were filled and 18
students traveled in cars. How many students were in each bus?
Answers
Answer:
34
Step-by-step explanation:
188 - 18 = 170 divided by 5 equals 34
Answer:
34 students per bus
Step-by-step explanation:
188 - 18 = 170, The number 170 is the total amount of students who were on buses
170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus
Which expression is equivalent to x2 - 40 - 45?
A(x - 9) (x - 5)
B(x +9)(x + 5)
C(x + 9) (x - 5)
D(x-9)(x+5)
Answers
Answer:
the answer is B (x+9)(x+5)
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answers
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?
Answers
20ft x 10ft = 200 ft^2
+
12ft x 30ft = 360 ft^2
=
560 ft^2
Work out the percentage change when a price of £40 is decreased to £18.
Answers
Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
Answers
Answer:
6 days
Step-by-step explanation:
help fast please :) :) :) :) :)
Answers
which statement best describes this graph?
Answers
Answer:
the second one
Step-by-step explanation:
