Answer:
35° and 55°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x and the other x + 20 , then
x + x + 20 = 90
2x + 20 = 90 ( subtract 20 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35°°
x + 20 = 35 + 20 = 55
The 2 angles are 35° and 55°
someone please solve this question
Answer:
do you have what x and/or y equals
Step-by-step explanation:
The first term of an arithmetic sequence is -140 and the 90th term is 483. What is the value of the 55th term?
Answer: 238
Step-by-step explanation:
The formula to calculate the nth term of an arithmetic progression = a + (n-1)d
Based on the question,
a = -140
90th term = a + 89d = 483
We need to get the value of the common difference
a + 89d = 483
-140 + 89d = 483
89d = 483 + 140
89d = 623
d = 623/89
d = 7
Therefore 55term will be:
= a + (n - 1)d
= a + (55 - 1)d
= a + 54d
= -140 + 54(7)
= -140 + 378
= 238
help plsss!! thank you so mhcb
Is this expression equivalent 20 divided by 5 and 5 divided by 20
Answer:
no. if you do 5 divided by 20 your answer will be negative
Step-by-step explanation:
A'Niyah deposited $32,720 in a savings account that earns 4% simple interest. A'Niyah has not made any deposits or withdrawls since she opened the account. Approximately how many years have passed since A'Niyah opened the account if her latest balance is $36,825?
a
3 years
b
3.5 years
c
1.5 years
d
5 years
Answer:
b
Step-by-step explanation:not b
A $50 watch was marked up to $60. What is the markup rate? Is it an increase or decrease?
It's increasing cause it's going higher if it's decreasing it's going lower
Answer:
Markup up rate is 20 percent
Step-by-step explanation:
amount of change is 50
The original is 60
that my answer that I chose but I don't know if it's right
A plumber charges a flat fee of $74 to visit a home and examine a clogged drain. The plumber charges an additional $28 per hour spent fixing the drain. The
total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.
C = 74+28
Answer the following questions.
(a) If the plumber charged a total of $382, how many hours did she spend fixinal
Answer: A. 74+28(7)=$382
B. 28 hours.
Step-by-step explanation: or b, what you need to do is minus 74 from 382. Then divided by 28.
Answer:
11 hours
Step-by-step explanation:
h = hours
382 = 74 + 28h
subtract 74 from both sides
308 = 28h
h = 11
Check:
382 = 74 +28(11)
382 = 308 + 74
382 = 382
What does 730 dived by 2 over the power of 9 then multiply all by 7, then divided eveything by 36 cubed.? Can anyone help?
Nosse pa jajjsja sajs f pa nel bro
Answer:
[tex]\frac{67073747877258500000000}{3}[/tex] = 2.24 × 10²²
Step-by-step explanation:
[tex]\frac{(\frac{730}{2})^9*7}{36}[/tex] :
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
[tex]\frac{67073747877258500000000}{3}[/tex]
Decimal Form:
2.23579159 × 10²² ≈ 2.24 × 10²²
help plssssssssssssssss
Answer:
4/5
Step-by-step explanation:
From point (-2,0) to point (3,4).
Rise is 4, Run is 5
Answer:
slope: 4/5
Step-by-step explanation:
(-2,0)&(3,4)
[tex]slope:\frac{y_{2-x_y{2}} }{x_{2-x_x{1} } }[/tex]
[tex]=\frac{4-0}{3-(-2)} \\\\=\frac{4}{3+2} \\\\slope: \frac{4}{5}[/tex]
hope it helps..
have a great day!!
GIVING BRAINLIEST, PLS HELP!!!!! :((
Write a statement that correctly describes the relationship between these two sequences: 6, 7, 8, 9, 10, and 18, 21, 24, 27, 30.
Step-by-step explanation:
1 Sequence
The numbers are in a right order but starting from 6 and ending at 10....
2 sequence
Numbers are from table of 3 and starting from 3×7 and ending up at 3×10
The figure shows a person estimating the height of a tree by looking at the
top of the tree with a mirror. Assuming that both the person and the tree form
right angles with the ground, which of the following proportions can be used
to estimate the height of the tree?
Answer:
The proportion that can be used to estimate the height of the tree is option;
A. [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]
Step-by-step explanation:
The given parameters in the question are;
The medium through which the person looks at the top of the tree = A mirror
The angle formed by the person and the tree with the ground = Right angles = 90°
The distance of the person from the mirror, d₁ = 5 ft.
The height of the person, h₁ = 6 ft.
The distance of the tree from the mirror, d₂ = 12 ft.
The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂
Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;
TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar
The corresponding legs are;
The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively
The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively
∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR
The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB
Given that θ₁ = θ₂, we have;
tan(θ₁) = tan(θ₂)
∴ tan(∠TMR) = tan(∠AMB)
[tex]tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}[/tex]
[tex]tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}[/tex]
[tex]tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}[/tex]
From tan(∠TMR) = tan(∠AMB), we have;
[tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]
[tex]\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.[/tex]
The height of the tree, h = 14.4 ft.
Therefore, from the proportion [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex] the height of the tree can be estimated.
Little Snail is going to visit his friend over at the next pond, 3 miles away. He can crawl ( 1/2. 1/3, 1/4, 3/4, 2/3 ) of a mile per day. How many days will it take him to get there
Solution :
It is given that Little Snail is going to visit one of his friend at the pond which is 3 miles away.
When the snail crawls 1/2 of a mile per day, it will take him, [tex]$1 \times \frac{2}{1} \times 3$[/tex]
= 6 days to get to the next pond.
When the snail crawls 1/3 of a mile per day, it will take him, [tex]$1 \times \frac{3}{1} \times 3$[/tex]
= 9 days to get to the next pond.
When the snail crawls 1/4 of a mile per day, it will take him, [tex]$1 \times \frac{4}{1} \times 3$[/tex]
= 12 days to get to the next pond.
When the snail crawls 3/4 of a mile per day, it will take him, [tex]$1 \times \frac{4}{3} \times 3$[/tex]
= 4 days to get to the next pond.
When the snail crawls 2/3 of a mile per day, it will take him, [tex]$1 \times \frac{3}{2} \times 3$[/tex]
= 4.5 days to get to the next pond.
The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
Choose 1 answer:
f(x) = 3x^2+ 36x + 33
f(x) = 3(x+6^2-75
f(x)=3(x+1)(x+11)
What is the vertex?
Answer:
Step-by-step explanation:
Look what happens when you factor the 3 out of the first choice:
f(x) = 3x^2+ 36x + 33 = f(x) = 3(x^2+ 12x) + 11
We can "complete the square:" x^2 + 12x becomes x^2 + 12x + 36 - 36, which, in turn, becomes (x + 6)^2 - 36
so that the original f(x) becomes f(x) = 3(x + 6)^2 - 36 + 33, or
f(x) = 3(x + 6)^2 - 3
Comparing this to
f(x) =a(x - h)^2 + k reveals that h = -6 and k = -3. Thus, the vertex is at (-6, -3).
A salesperson is selling cooking sets for $120 each. The salesperson receives 22.5% of the sales prices as commission. The salesperson sells a total of 4 units on Monday but an unknown number of units on Tuesday. The salesperson made a combined total of $351 commission for those two days. Write an equation that could be used to find the number of cooking sets x sold on Tuesday. Then solve the equation.
[Please help!]
Answer:
4(120)(.225) + x (120)(.225) = $351
9 units sold on Tuesday
Step-by-step explanation:
1. You can easily figure how much money was made on Monday by multiply the total units sold by the price per unit by the commission in decimal form. Here you get $108.
2. Subtract that $108 from the $351 made on both days and you get $243 made on Tuesday.
3. The equation is now the unknown number of units sold (x) times the price ($120) times the commission is decimal form (.225) equals $243.
4. Since 120 times .225 is equal to 27, the equation now becomes 9x is equal to 243.
5. Divide 243 by 27 for your answer.
I need someone smart to help me pls
Answer:
201.06
Step-by-step explanation:
Marco weighs 80 pounds, his bones make up to about 1/5 of his body weight. how much do his bones weigh?
12 pounds
16 pounds
6 pounds
2 pounds
Answer:
16 pounds
Step-by-step explanation:
1/5 is just 20% percent as a fraction so just multiply 80 by 205 to get 16.
If you have 3/8 of one pie, what does the denominator tell you
Answer:
there are 8 pieces total
Find the value of x.
please.
Answer:
130°
Step-by-step explanation:
1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)
2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).
3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.
Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.
The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.
You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)
∠x + ∠n = 180˚ (These angles are supplementary)
∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)
If we isolate ∠n in both equations, then:
∠n = 180˚ - ∠x
∠n = 180˚ - 59˚ - 71˚
Since the right sides of both equations are equal, we can turn it into a single equation:
∠n = ∠n
180˚ - ∠x = 180˚ - 59˚ - 71˚
Isolate ∠x:
∠x = 59˚ + 71˚
So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.
Now, let's get ourselves a definitive answer:
∠x = (59˚ + 71˚)
∠x = 130˚
If you have any further questions on how I got to the answer, just ask in the comments! Good luck!
- breezyツ
HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZ HELPPPPPPPPPPP
Calvin practices a 100-meter swim each day. He recorded his finish times, in seconds, in the dot plot below.
Answer:
e
Step-by-step explanation:
Answer:
D.)
E.) and
A.)
Step-by-step explanation:
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 25% off clearance items. What % of the original price do you end up paying
Answer: 33.75%
Step-by-step explanation:
The items were marked down by 55% from their original price.
This means that the new price is:
= 1 - Percentage marked down
= 1 - 55%
= 45% of the original.
From this 45%, additional percentage of 25% is removed from this amount. The amount left will be:
= 45% * ( 1 - 25%)
= 33.75%
Below are two parallel lines with a third line intersecting them.
Answer:
The line intersecting is a transversal and x is 44 degrees.
Hope it helps!!!
Giving brainlist to whoever answers
Answer:
false
Step-by-step explanation:
False
5(9)(3.2)
45*3.2=144
Hope this helps :)
Please help me with this. I'll mark brainiest
Answer:
Option 3 (C)
Step-by-step explanation:
Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18
To find the box plot that represents the data set, we need to find:
Min, Q1, median, Q3, and Max, which are all represented on a box plot.
Min = 3
Max = 18
Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7
Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5
Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11
The box plot that closely represented all these values is the box plot in option 3.
Jaime uses a compass to construct a circle. She places the point on her paper and uses the pencil to create the circle. What name could she give to the point she made with her compass? *
chord
radius
center
diameter
endpoint
Answer:
center
Step-by-step explanation:
None of the answers that are part of a straight line are the answers.
That lets out
chord radiusdiameterEndpoint is what the pencil is creating if it just sits still, so endpoint is not the answer.
Answer: center.
Look at the expression below 7x11x13 How many factors does the product of the expression have?
ans 1) Exactly 3 factors
ans 2) Exactly 4 factors
ans 3) Exactly 5 factors
ans 4) More than 5 factors
Answer:
Exactly 3 factors
Step-by-step explanatin
The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).
The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.
The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.
The number of prime factors of 1001 is 3.
Identify the indicated parts of the figure below.
Answer:
The top one is a triangle which is the back part of the shape. The bottom left one is also a triangle and the bottom right one is a rectangle
Find the area. Show your work.
What two numbers have a product of 144 and a sum of -24?
Answer:
-12, -12
Step-by-step explanation:
Both numbers are negative, they add to -24, 2 negatives make positive (-12 x -12 = 144)