Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Define angle.In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.
Given,
Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.
ΔYWZ ~ ΔYXW
Angle XWZ is a right angle is true about Angle XWZ.
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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Step-by-step explanation:
Got it right on edge
The drawing shows a semicircular window separated into 3 sections of . Red Green Green Approximately how many of the glass are red? The window a diameter of 18 units
Answer:
[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]
______________________
The correct option is 70.7
Step-by-step explanation:
Since the green and red make a semicircle, the total measure must be 180°.
Since the two green sectors are both 40°.
The red must add up with the green sectors to total 180°.
This means that:
red sector + 80° = 180°.
–80° –80.
red sector = 100°.
To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.
Since a full circle is 360°.
(360° / 360°)( πr² ) will be the area.
Or in radians: (2π rad / 2π rad)( πr² ).
From here, we can create the formula:
Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.
You may also know that the diameter is twice the measure of the radius.
This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.
Lastly, all we have to do is substitute all this information to find the area of sector.
Area of the red sector = ( n° / 360° ) ( πr² ).
Area of the red sector =
( (100°) / 360° ) ( π(9)² ).
Area of the red sector = ( 5 / 18 ) ( 81π )
Area of the red sector = ( (5)(81π) / 18 )
Area of the red sector = ( (405π) / 18 )
Area of the red sector = ( 45π / 2 ) units²
Area of the red sector =
(141.371669412.. units²) / 2
Area of the red sector =
70.6858347058.. units²
Area of the red sector ≈
70.7 units²
One positive number is 9 more than twice another. If their product is 95, find the numbers.
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be [tex]x\ and\ y.[/tex]
So:
[tex]x = 9 + 2y[/tex] --- First statement
[tex]x*y = 95[/tex] --- second statement
Required
Find x and y
Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]
[tex](9 + 2y) * y = 95[/tex]
[tex]9y + 2y^2 = 95[/tex]
Rewrite as:
[tex]2y^2 + 9y - 95 = 0[/tex]
Expand
[tex]2y^2 -10y +19y- 95 = 0[/tex]
Factorize
[tex]2y(y -5) +19(y- 5) = 0[/tex]
[tex](2y +19)(y- 5) = 0[/tex]
Solve for y
[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]
[tex]2y = -19[/tex] or [tex]y = 5[/tex]
[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]
Since the numbers are positive, we take only:
[tex]y=5[/tex]
Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]
[tex]x = 9 + 2 * 5[/tex]
[tex]x = 9 + 10[/tex]
[tex]x = 19[/tex]
The numbers are 19 and 5
find the missing side.
1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.
Answer:
147
Step-by-step explanation:
Length x Width = base
Base x Height = Volume
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
please help me with this asap
Answer:
Upper left is 9, upper right is 9, lower left is 21
Step-by-step explanation:
They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.
They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.
They tell us there are 39 birds total.
39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.
Make sense? lmk if you have questions
What is the slope of the line below?
help please !! i need help
Answer: 1/2x
Step-by-step explanation:
A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?
Answer: 63 copies were sold yesterday.
Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.
Which of the following expressions had a constant of 6 and a coefficient of 2/3?
Answer:
The answer is d, 2/3y-6
Step-by-step explanation:
How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.
Answer:
105 rabbits
Step-by-step explanation:
Multiple 5 percent by six days
5%x6=30%
150 rabbits --- 100%
x ----- 30%
100x=150x30
100x=4500 : 100
x=45
150-45=105
Answer:
880
Step-by-step explanation:
I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.
Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast
Answer:
Step-by-step explanation:
Volume of pot = πr²h
= 3.14 * 10 * 10 * 20
= 6280 cubic cm
1000 cubic cm = 1 litre
6280 cubic cm = 6.28 litre
∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre
What is the cos(65)?
what is parallel to y=5x + 3
Answer:
y=5x
Step-by-step explanation:
The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.
Which is the graph of g(x)?
Answer: A because its always A
Step-by-step explanation:
Ok please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Volume of a cone is given by the formula,
V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here, r = Radius of the circular base of the cone
h = Height
By substituting values from the question,
V = [tex]\frac{1}{3}\times \pi (\frac{6}{2})^2(3)[/tex]
V = 9π
V = 28.27 m³ [Nearest hundred]
If we have to round the answer to the nearest tenth, answer will be,
Volume = 28.3 m³
If we have have to round the answer to the whole number then the answer will be,
Volume = 28 m³
t/15=3 what operation is that?
Answer:
t = 45
Step-by-step explanation:
[tex]\frac{t}{15} = \frac{3}{1}[/tex]
t × 1 = 15 × 3
t = 45
3.
1- =
How do you subtract 1 - 1/2?
Answer:
You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!
Step-by-step explanation:
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)
Answer:
1/4
Step-by-step explanation:
Two Heads = HH,
From four options one of them is HH,
So likely the answer is 1/4,
Hope this helps!
Are 20,30, and 16 the sides of a right triangle? Please show workkk
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.
Answer:
19 degrees
Step-by-step explanation:
Sum of 2 angles is complementary,
x + 71 = 90
x = 90 - 71
x = 19 degrees
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
I NEED THE ANSWER(ASAP)
The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?
$7, $12, $8.50, $ 10, $7, $8, $10.50, $11
Answer:
9.25
Step-by-step explanation:
For the mean, you have to add all and divide it by the numbers.
7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74
74 divided by 8 = 9.25
The area of a rectangle is 46 square inches. If the length is 4 times the width, thon find
the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
w = 3.39 in
l = 13.56 in
Step-by-step explanation:
46 = w(4w) = 4w²
w² = 11.5
w = 3.39 in
l = 13.56 in
What's the inequality?
Answer:
I believe the answer is D coorrect me if im wrong
Step-by-step explanation:
if im right brainliest?
or 5 stars and heart
What’s the answer to this
Answer:
D: 39.71 pi m cubed
Step-by-step explanation:
To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.
For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71HELP ASAP I WILL MARK BRAINLEY
At Camille's Hats, 25% of the 28 hats are baseball caps. How many baseball caps are there?
Answer:
112
Step-by-step explanation:
25 = 1/4 of 100. so u gotta do 4 * 28
Answer:7
Step-by-step explanation:
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest
Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Step-by-step explanation:
Given Area of Circle B = Area of Circle A
Given r = 1/2d = 1/2(16) = 8 in
and Area of Circle =
[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]