Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°
Solve - angle KPL
Please help me with how to solve this, thanks!
Answer:
∠KPL = 80°
Step-by-step explanation:
As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.
The angle at the circumference in a semicircle is always a right angle. So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°
The sum of the interior angles of a triangle is 180°.
Therefore, ∠KLM + ∠KML + ∠LKM = 180°
As ∠KLM = 90° and ∠KML = 50°
⇒ 90° + 50° + ∠LKM = 180°
⇒ ∠LKM = 40°
As ∠PKM = 90° then
⇒ ∠PKL = 90 - ∠LKM
= 90 - 40
= 50°
Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL
Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.
Since ∠PKL = 50° then ∠PLK = 50°
Again, as the sum of interior angles of a triangle is 180°:
⇒ ∠KPL + ∠PKL + ∠PLK = 180°
⇒ ∠KPL + 50° + 50° = 180°
⇒ ∠KPL = 80°
ASZPPPP
LAST ONEEE PLEASEE HELPP
Answer:
Top Left
I sincerely hope this is right and that you get g really good mark ;)
At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.
What method of sampling was used to choose these people?
Answer:
random sampling
Step-by-step explanation:
There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.
Find the surface area of the prism.
Answer:
158 in²
Step-by-step explanation:
Surface area of a rectangular prism:
2(lw + lh + wh), where w is the width, l is the length and h is the height.
= 2((8 x 5) + (8 x 3) + (5 x 3))
= 2(40 + 24 + 15)
= 2(79)
= 158 in²
6x + y=4x+ 11y, write a formula for h(x) in terms of x
Answer:
[tex]h(x)=\frac{1}{5}x[/tex]
Step-by-step explanation:
To write a formula for a function, such as h(x), you need to solve for y.
[tex]6x+y=4x+11y[/tex]
[tex]-4x[/tex] [tex]-4x[/tex]
[tex]2x+y=11y[/tex]
[tex]-y[/tex] [tex]-y[/tex]
[tex]2x=10y[/tex]
[tex]/10[/tex] [tex]/10[/tex]
[tex]\frac{2}{10}x=y[/tex]
[tex]y=\frac{1}{5}x[/tex]
y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.
Therefore, [tex]h(x)=\frac{1}{5}x[/tex]
The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals
Answer:
Negative Reciprocals
Step-by-step explanation:
Consider two slopes being perpendicular to each other:
[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]
You will either receive:
[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]
or:
[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]
Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:
[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]
Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.
Hence, they are indeed reciprocal but also negative as well.
how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3
Answer:
6
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
4 1/2=9/2, 2 2/3= 8/3
9/2x8/3=72/6,
12. However, you still have to divide by two, which gets you 6
Answer:
6
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
4 1/2=9/2, 2 2/3= 8/3
9/2x8/3=72/6,
1 point
Item at position 12
Find x and the measure of angle P.
x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all angles of triangle is 180
∠P + ∠Q + ∠R = 180
10x - 4 +4x - 22 + x +11 = 180
10x + 4x + x - 4 - 22 + 11 = 180
Combine like terms,
15x - 15 = 180
Add 15 to both sides
15x = 180 + 15
15x = 195
Divide both sides by 15
x = 195/15
x = 13
∠P = 10x - 4
= 10*13 - 4
= 130 -4
∠p = 126°
You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?
Evaluate the expression when a = 6 and x= -5.
-a + 8x
Answer:
-46
Step-by-step explanation:
when a= 6 and ×=-5
-a + 8×= -6+8×-5
= -6+(-40)= -6-40= -46
If m∠D = 96°, what will be the m∠C to have a supplementary angle.
Answer:
84
Step-by-step explanation:
supplementary means two angles that add to 180
180-96=84
[90 POINTS] An air conditioning system needed for a new warehouse is built in the shape of a rectangular prism. The warehouse is 250 feet long, 125 feet wide, and 22 feet high. A one-ton air conditioning unit can cool 12,000 cubic feet.
What is the volume of the warehouse, and what size air conditioner is needed?
Answer:
The warehouse has 31,250 cubic feet of space.
The air conditioner has to be at least 55 tons.
Answer:
687,500 for first blank
60 tons for second blank
Step-by-step explanation:
It is correct on edmentum
Convert 6 2/3 % to a fraction lowest terms
Answer:
109/150
Step-by-step explanation:
Answer: 109/150
6% = 6/100
6/100 = 18/300 (Multiply Numerator and Denominator by 3)
2/3 = 200/300 (Multiply Numerator and Denominator by 100)
200/300 + 18/300 = 218/300
218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)
3.) Given the graph of the line represented by the equation f(x) = -3x + b,
if b is decreased by 5 units, the graph of the new line would be shifted 5 units
1) right
2) up
3) left
4)down
Answer: (4)
Step-by-step explanation:
Sancho paints the new sign for his bike shop. One quart of paint covers 200 square
feet, and Sancho plans on applying three coats of paint. One quart of paint cost
$8.97. What is the square footage of his sign and ow much must Sancho spend to
paint the sign?
Slit the shape into a rectangle and two triangles:
Rectangle = 9 x 8 = 72 sq. Ft.
Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.
Total area = 72 + 20 = 92 sq. Ft.
3 coats x 92 = 276 sq ft worth of paint.
1 quart covers 200 so he would need to buy 2 quarts:
2 x $8.97 = $17.94 total
Using Coordinates in Proofs |
IS
What is the most specific name for the figure?
A(a,0)
B(0, b)
Cla, 2b)
D(2a, b)
B
D
А
B. Rectangle
A. Trapezoid
D. Rhombus
C. Square
Please help me!
Answer: D
Step-by-step explanation: You're Welcome
Find the area and the circumference of a circle with radius 4m. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers. 4m Area: Circumference:
Answer:
!!! please use the correct units.. m² and m !!!
the answer is in the picture
need help with geometry (number 23)
Answer: D
Step-by-step explanation:
Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.
You work 44 hours at Candelaria's Tortilla Factory (CTF), You earn $15.00 per hour and you get paid 1.5 times
your base rate for hours worked over 40 hours. You pay 6.25% for Social Security, and 1.45% for Medicare.
You also pay $83.00 for your health insurance. You also put 3% of your gross pay into 401(k). How much is
your take home pay?
Answer:
$537.87
Step-by-step explanation:
First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.
$15 * 1.5 = $22.5 * (44-40) = $90 additional pay
$600 + $90 = $690 total pay
Now, we calculate all of our deductions.
Subtract social security to be
690 * (1-0.0625) = $646.875
Medicare Deduction
646.875 * 0.9855 = $637.50
Health Insurance
$637.50-83 = $554.50
401k Deduction
$554.50 * 0.97 = $537.87
5 + 5 ? please answer tricks
Answer: 5 + 5 = 10
Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10
Hope that helps!
There is an animal farm where chickens and cows live. All together, there are 92 heads and 256 legs. How
many chickens and cows are there on the farm?
show your work!
Answer:
56 Chickens
36 Cows
Step-by-step explanation:
You can set this up as a system of equations:
(x=chickens, y=cows)
[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]
To solve this system, first we can solve for x in the top equation:
[tex]x=92-y[/tex]
Next, we can plug in x to the second equation and solve for y:
[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]
And now that we have y, we can plug it into the first equation and solve for x:
[tex]92=x+36\\x=56[/tex]
50% of the population are within one standard deviation.
O True
O False ???
Answer: False
Step-by-step explanation:
68%
Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
Q
Match the definition on the left to its corresponding geometric figure on the right
A zero-dimensional object that defines a specific location on a plane
A one-dimensional figure, which extends without end in two
directions
A finite section of a line between any two points that lie on the line
A half-line that begins at one point and goes on forever in one
R
direction
A two-dimensional surface that continues infinitely
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.
What is a geometric figure?A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.
In Geometry, the following terminologies and definitions are used to describe a geometric figure:
Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot. ⇒Image 4.Line: is a one-dimensional figure which extends without end in two (2) directions. ⇒Image 5.Line segment: is a finite section of a line that exist between any two (2) points that lie on the line. ⇒Image 1.Ray: is a half-line that starts at one (1) point and goes on infinitely (forever) in one (1) direction. ⇒Image 3.Plane: is a two-dimensional surface that continues infinitely (forever). ⇒Image 2.Read more on lines here: https://brainly.com/question/1655368
Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
Please help I will give brainiest pls
Which of the following is the correct factorization of the polynomial below?
2x^2 - 12x + 18
A. 2(x - 3)^2
B. 2(x + 6)(x + 3)
C. (2x + 6)(x + 3)
D. The polynomial is irreducible.
Using proportions to solve for missing sides.
DGH~DEF
Find the value of x.
Answer:
25
Step-by-step explanation:
If ΔDGH ~ ΔDEF , then [tex]\frac{DG}{DE}[/tex] = [tex]\frac{GH}{EF}[/tex]
[tex]\frac{x+3}{2x-1}[/tex] = [tex]\frac{52}{91}[/tex]
After cross-multiplication: 52(2x - 1) = 91(x + 3)
104x - 52 = 91x + 273
13x = 325
x = 25
Answer:
x = 25Step-by-step explanation:
DGH~DEF ⇒ their corresponding sides are proportional
then
[tex]\frac{DG}{DE} =\frac{GH}{EF}[/tex]
then
[tex]\frac{52}{91} =\frac{x+3}{2x-1}[/tex]
then
[tex]\frac{4}{7} =\frac{x+3}{2x-1}[/tex]
then
4(2x-1) = 7(x+3) [cross multiply]
then
8x - 4 = 7x + 21
then
8x - 7x = 21 + 4
then
x = 25
What is the total number of digits you need to number the pages of a book that has 1450 pages?
Answer: pages 1-1,450
pages 1-9 = 9 digits
pages 10-99 = 90*2 = 180 digits
pages 100-999 = 900*3 = 2,700 digits
pages 1000-1450 = 451*4 = 1,804 digits
sum = 4,693 digits
HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP
Answer:
A
Step-by-step explanation:
(m / 3) = (12 / 3) = 4
1/2 x 4 = 2
2 + n = 2 + 3/5 = 2 and 3/5 = 13/5
Answer:
13/5
Step-by-step explanation:
How many triangles can be constructed with angles measuring 110° 50° and 10°
Pls explain in detail so I can understand
Answer
0
Step-by-step explanation:
Because 110+50+10= 170 and every triangle has 180º
