Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]
Then
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4(3x - 2) = 10x
12x - 8 = 10x ( subtract 10x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth
Answer:
X = 2.4
MN = 7
JL = 7.4
Step-by-step explanation:
Factor the Polynomial
5x2 + 45x
Answer:
55x
Step-by-step explanation:
5x*2+45x=
10x + 45x= 55x
The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
what is 1,000,10023 + 2,733,493,873,663+ 999999999+199999287- 124,345,880,6
Answer:
2733550424166
Step-by-step explanation:
can I get brainliest
I need help with my math homework
If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)
Answer:
C
Step-by-step explanation:
The dilated point R' of the given point will be (-12,-24). The correct option is A.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-
The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.
( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )
( -2 , -4 ) ⇒ Dilated ( -12, -24 )
Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.
To know more about dilation follow
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Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
Someone help me ASAP !
Answer:
31
Step-by-step explanation:
Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%
Answer:
7%
Step-by-step explanation:
write a linear function that shows the linear relationship in the table below.
Answer:
y=1/2x+7
Step-by-step explanation:
First find the slope of the function
Use slope formula:
10-9/6-4 =1/2
M= 1/2x
Find y-intercept:
9=1/2(4)+b
B=7
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.
Answer:
6-8-10
9-12-15
5-12-13
Step-by-step explanation:
We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.
If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles
The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.
There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.
On applying Pythagoras theorem.
6² + 8² = 10²
9² + 12² = 15²
Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
Learn more about the right-angle triangle here:
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help me asap brainliest for correct answer
Find x, y, and z in the figure.
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
PLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y
Answer:Answer is A
Step-by-step explanation:
Correct option is
A
6x+2y=15
Given line is y=−3x+4
This is slope intercept form of a line where slope of line is −3.
Since, two lines are parallel When their slopes are equal.
Slope of line is 6x+2y=15
⇒2y=−6x+15
⇒y=−3x+
2
15
is equal to −3
Option A is correct.
What will happen to a number, if it was added to its inverse?
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
Plz Conrad's 3/4 times 4/8 plz
Answer:
The answer is 3/8.
Hope this helped!!
Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?
pls answer this lol
Answer:
[tex]\huge\boxed{\$\ 6}[/tex]
Step-by-step explanation:
Price = $130.42
Sales tax = 4.9% of 130.42
Tax as amount:
= 4.9 / 100 * 130.42
= 0.049 * 130.42
= 6.3
≈ $6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Juan wants to buy a doll house that is 45% off. The original price is
$74.85.
What is amount of discount (nearest hundredth)?
Answer this quick pls!! :,)
Answer:
well if you would divide 74.85 by 45% you would 33.6825.
and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)
Answer:
$33
Step-by-step explanation:
Given :
45%
$74.85
45% of 74.85 is
Answer = $33
PLEASE HELP!! Due today!!
Answer:
Amira, we can tell by looking at the two graphs
Step-by-step explanation:
the blue graph goes through (1,1) while the red graph goes thur (1,3) so because the y component grows by 3 we know K = 3
:)
Help please it’s due soon
Answer:
y = 12,58 unitsStep-by-step explanation:
y = opposite
15 = hypotenuse
θ = 57°
therefore we use sin
sinθ = opposite/hypotenuse
sin57° = y/15
y = 15sin(57°)
y = 12,58 units
_________________
#StayPositive - kexcvi
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal
What’s the question?
Step-by-step explanation:
?
A set of data points has a line of best fit of y= -0.2x + 1.7. What is the residual for the point (5, 1)?
Α. 1.5
Β. Ο.7
C. 0.3
D. -0.3
Answer: 0.3
Step-by-step explanation: I took the test
ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14
Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2
the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?
Answer:
x = 7
Step-by-step explanation:
(7 + 6) - (14 - 1) = 13 - 13 = 0
Answer:
x = 7
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
ln(x + 6) - ln(2x - 1) = 0
ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0
[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then
2x - 1 = x + 6 ( subtract x from both sides )
x - 1 = 6 ( add 1 to both sides )
x = 7