Answer:
<2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = [tex]90^{o}[/tex] (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary
mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work.
Answer:
It should be $20,000
Step-by-step explanation:
From $20,000 to $14,000 = -30%
Which the -30% is the discount basically
So your final answer should be $20,000
$20,000 was the original price.
A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line
Answer:
y= -1/3x-13/3
Step-by-step explanation:
(Refer to picture)
Use the general point-slope formula and plug in y1 and x1, then simplify
(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)
2 + 29m - 9m - 5 =
HELP
Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.
__
There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.
Answer:
see attached
Step-by-step explanation:
A ring is now reduced to £840.
This is a saving of 40% of the original price.
Work out the original price of the ring.
==============================================
Work Shown:
If you save 40%, then you pay 100% - 40% = 60% of the original price
final price = 60% of original price
final price = 0.60*(original price)
840 = 0.60x
0.60x = 840
x = 840/0.60
x = 1400
The ring was originally £1400 before the discount.
What is the relationship between ∠1 and ∠8?
Answer:
Alternate Exterior Angles
Step-by-step explanation:
The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in opposite sides.
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
7. PLS I NEED AN ANSWER ASAP
Part A: 3x + 15 = 5x - 25
Part B: x = 20
Pls help me ASAP!!!!!
Answer:
2 4/5
Step-by-step explanation:
You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5
Answer:
It is c, 2 4/5
Step-by-step explanation:
5 goes into 14 2 times with 4/5 left over
Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?
Answer:
20 inches
Step-by-step explanation:
Mike needs to cut out circles with an area of 314 square inches.
Let d be the diameter of required the circle,
So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]
[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]
[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]
[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex] [ using \pi=3.14]
[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]
[tex]\Rightarrow d^2=400[/tex]
[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]
[tex]\Rightarrow d=\pm 20[/tex] inches
Neglecting the negative sign as the length of diameter can't be negative.
So, the diameter of the required circle is [tex]d=20[/tex] inches.
As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].
So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.
An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches
Answer:
50.97in^3Step-by-step explanation:
Volume of a sphere
The expression for the volume of a sphere is given as
V=4/3πr^3
Given that the radius is 2.3in
Substitute r= 2.3 in the expression to find the volume of the sphere
V=4/3*3.142*(2.3)^3
V=4/3*3.142*(12.167)
V=4/3*38.23
V=152.9/3
V=50.97in^3
Therefore the volume of the ornament is 50.97in^3
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm, find the third sides
Answer:
[tex]\boxed{\pink{\sf Value \ of \ third \ side \ is \ 7cm . }}[/tex]
Step-by-step explanation:
According to Question , equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm . And we need to find the third side .
Let us take the third side be x.
By Question ,
[tex]\implies Perimeter_{\triangle}= x + 30 cm + 30cm \\\\\implies 67cm = 60cm + x \\\\\implies x = 67cm - 60cm \\\\\underline{\boxed{\red{\tt\implies x = 7cm. }}}[/tex]
Hence the value of third side is 7cm.
PLEASE PLEASE HELP I NEED THIS RIGHT NOW
Answer:
should be the last one 0.02
Can you pls answer the question below
Answer:
The student added instead of subtracting 6 from both sides first before dividing.
Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.
Answer:
Approximately 4824 gamesStep-by-step explanation:
Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906
the average is (4567+5430+3998+5220+4906)/5
=24121/5
=4824.2
in the month of august let the sales be x
average= (4567+5430+3998+5220+4906+x)/6
the average for march to july is 4824.2
4824.2= (4567+5430+3998+5220+4906+x)/6
24121+x=4824.2*6
24121+x=28945.2
x=28945.2-24121
x=4824.2
approximately 4824 games
Someone please help only answer if your 100 percent sure
Answer:
90
Step-by-step explanation:
Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
4. Simplify: (4 – 5) – (13 – 18 + 2).
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
2
Step-by-step explanation:
(4-5) - (13-18+2)
( -1) - ( -3)
-1 + 3
2
Answer:
hello
[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]
what is coefficient of x in Y^2x+y
Answer:
Coefficient of x, in this case, is '2'
1. Choose the graph that represents the equation y = -x] - 1.
Answer:
x=−y−1
Step-by-step explanation:
y=−x−1
Step 1: Flip the equation.
−x−1=y
Step 2: Add 1 to both sides.
−x−1+1=y+1
−x=y+1
Step 3: Divide both sides by -1.
−x
−1
=
y+1
−1
x=−y−1
what is true of BLOOD cells
Answer:
Your blood carries oxygen and nutrients to all of the cells in your body. Blood cells also fight infection and control bleeding. Most blood cells are made in your bone marrow. They are constantly being made and replaced.
Step-by-step explanation:
Hope this helps!
Brainliest please.
Answer: It carries oxygen. Red blood cells also remove carbon dioxide from your body, transporting it to the lungs for you to exhale. Red blood cells are made in the bone marrow. They typically live for about 120 days, and then they die.
PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE
Standing on top of a 235 foot tall building, you spot your friend on the ground who is 94 feet away from the building. What is the angle of depression you had to look to spot your friend?
Answer:
bebot dede loooStep-by-step explanation:
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
To learn more about the metric conversion visit:
https://brainly.com/question/21244256.
#SPJ5
2 ones and 96 thousandths as a decimal number
Answer:
2.096
Step-by-step explanation:
if y=1/3 when x=1/2 find y when x=1/4
Answer:
y=1/3
3y=1...........(1)
x=1/2
2x=1..........(2)
:.
2x=3y
when x=1/4
2×1/4=3y
3y=1/2
y=1/(2×3)=1/6 is your answer
What’s 17/5 as a decimal?
What is (16)-(11)7 in distributed property
Answer: I think you answer is -61 if not sorry
Step-by-step explanation:
A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
50
25
75
0
Answer:
slope is 25 because the equation is y=25x+50
Step-by-step explanation:
heres the official answer
7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes
Answer:
a)Robert pay $12 to rent shoes for everyone
b)Cost of each game is 4.5
c)y = 4.5x+12
Step-by-step explanation:
Refer the attached graph
a)How much did Robert pay to rent shoes for everyone ?
y - intercept will give the rent shoes for everyone
y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.
So, from the graph we can see that at x = 0 , y = 12
So, from the graph we can see that the no. of games is 0 . So, Total cost is 12
Thus Robert pay $12 to rent shoes for everyone
b)What was the cost per game at the bowling alley?
So, we are supposed to find the slope
Two pints from graph :
[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]
So, Cost of each game is 4.5
c)Write an equation to represent the situation Number of Gomes
General equation : y = mx+c
So, y = 4.5x+12