Answer:
The sum of m∠Q and m∠S must be equal 90°Step-by-step explanation:
The measure of right angle is 90°
The sum of measures of angles in any triangle is 180°
so:
m∠Q + m∠S + ∠R = 180°
m∠Q + m∠S + 90° = 180°
m∠Q + m∠S = 180° - 90°
m∠Q + m∠S = 90°
In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
What is right triangle?"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."
Condition used
In ΔQRS
∠Q + ∠R + ∠S = 180°
According to the question,
Given,
In right triangle ΔQRS,
∠R = 90°
Substitute the value in the above condition of triangle we get,
∠Q + 90° + ∠S =180°
⇒ ∠Q + ∠S =180°- 90°
⇒∠Q + ∠S = 90°
Hence, in right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.
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E3-7 the ledger of perez rental . Agency in March 31 of the current year include the selected accounts shown below before adjusting entries have been prepared
Answer:
1) Debit Depreciation expenses for $1,200; and Credit Accumulated depreciation for $1,200.
2) Debit Unearned Rent Revenue for $3,400; and Credit Rent Revenue for $3,400.
3) Debit interest expenses for $500; Credit Interest payable for $500.
4) Debit Supplies expenses a/c for $1,900; and Credit Cost of goods sold for $1,900.
5) Debit Insurance expense for $600; Credit Insurance prepaid for $600.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided for answering the question. See the attached pdf file for the complete question.
The explanation to the answer is now provided as follows:
The adjusting entries at March 31 will look as follows:
Perez Rental Agency
Date Accounts Name Dr($) Cr($)
Mar 31 Depreciation exp. ($400 * 3monts) 1,200
Accumulated depreciation 1,200
(To record depreciation expenses.)
Mar 31 Unearned Rent Revenue 3,400
Rent Revenue (1/3 * $10,200) 3,400
(To record earned unearned rent revenue.)
Mar 31 Interest expenses a/c 500
Interest payable 500
(To record accrued interest on note payables.)
Mar 31 Supplies expenses a/c ($2,800 - 900) 1,900
Supplies on hand 1,900
(To record supplies expenses.)
Mar 31 Insurance exp. ($200 * 3 months) 600
Prepaid insurance 600
(To record expired prepaid insurance.)
Given parallelogram ABCDABCD, diagonals ACAC and BDBD intersect at point E. AE=2x, BE=y+10, CE=x+2AE=2x, BE=y+10, CE=x+2 and DE=4y−8DE=4y−8. Find yy.
Answer:
y = 6
Step-by-step explanation:
Given a parallelogram ABCD with diagonals AC and BD.
Kindly refer to the diagram attached for the given parallelogram.
[tex]AE=2x\\BE=y+10\\CE=x+2\\DE=4y-8[/tex]
To find:
The value of y = ?
Solution:
First of all, let us consider a property of parallelogram and its diagonals.
The intersecting point of diagonals of a parallelogram bisect the diagonals in two equal parts.
Let us consider the given parallelogram ABCD which has its diagonals BD and AC intersecting at point E.
As per the property stated above:
AE = CE and
DE = BE
Putting the values of AE, CE, DE and BE as given in the question statement and solving for [tex]x[/tex] and [tex]y[/tex]:
[tex]2x = x+2\\\Rightarrow \bold{x = 2}[/tex]
and
[tex]y+10=4y-8\\\Rightarrow 4y-y = 10+8\\\Rightarrow 3y=18\\\Rightarrow y =\dfrac{18}{3}\\\Rightarrow \bold{y= 6}[/tex]
So, the answer is:
y = 6
somebody please help me on this it is for geometry please don’t waste my answers i’ll mark you the brainliest
Answer:
Smallest: XY
Second smallest: YZ
Biggest: XZ
Step-by-step explanation:
First, just observe the triangle,
see which one is the smallest,
if you just look, it would be XY
Next, the second smallest looks like YZ
Lastly, the last side is the largest if you just look at it
The formula for the surface area of a cylinder is 2pi r(r+h) where rrr is the radius of the cylinder's base and h is its height. A certain pole has a cylinder-like shape, where the base's radius is 10centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?
Answer:
4200πcm²Step-by-step explanation:
Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.
Given parameters
base radius of the cylindrical pole = 10 cm
Height of the cylindrical pole = 2 m
Since 100 cm = 1 m, then 2 m = 200 cm
Height of the cylindrical pole (in cm) = 200 cm
Required
Surface area of the pole (in cm²)
Using the formula for finding the surface area of a cylinder as shown above;
[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]
Hence the surface area of the pole in square centimetres is 4200πcm²
I NEED HELP ASAP! What is 3/7 of 35??
Answer:
15
Step-by-step explanation:
you can approach this question with simple math
first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15
Answer:
the answer is 15
Step-by-step explanation:
3/7 of 35 means 3/7 x 35
so 3/7 x 7x5
3x5 =15( deleting 7 from numerator and denominator)
ans : 15
Parallel and Perpendicular Line Equations Write the slope-intercept form of an equation of the line that passes through the point (3.2) and is parallel to y = x + 5 yox. 1 X5
I need help asap pls
Answer:
y = x - 1
Step-by-step explanation:
Lines that are parallel have the same slope. The slope of the given equation is 1. This means that the new equation will also have a slope of 1.
Use the point-slope form to find the equation with the given point and slope.
y - y₁ = m(x - x₁)
y - 2 = 1(x - 3)
y - 2 = x - 3
(y - 2) + 2 = (x - 3) + 2
y = x - 1
Solve for S. 3.25 + 5.50s is less than or equal to 30
Answer:
less than
Step-by-step explanation:
I don’t understand 12 and 13 at all pls help me out
Answer:
[tex]\Large \boxed{\mathrm{12. \ 54}}[/tex]
[tex]\Large \boxed{\mathrm{13. \ -7.6}}[/tex]
Step-by-step explanation:
|54|
Solve for absolute value.
Apply rule : |a| = a
|54| = 54
-|-7.6|
Apply rule : |-a| = a
-|-7.6| = -7.6
Answer:
12: 54 and 13: -7.6
Step-by-step explanation:
The absolute value of a number is basically the distance it is from 0. For example, |1| = 1. There is a "rule" for absolute value, if a number x ≥ 0, then |x| = x but if x < 0, then |x| = -x. This is because absolute value is always positive, and if a number is negative, all you have to do to make it positive is multiply it by -1. Therefore, the answer for 12 is 54 since x > 0 in this case. To find the answer to 13, we know that |-7.6| = -(-7.6) = 7.6. -(7.6) = -7.6.
Can someone please explain how to solve such a mean and sneaky problem? Please?
Answer:
all real numbers
Step-by-step explanation:
simplify each side of the inequality
26 + 6b -- already fully simplified
2(3b + 4) → 6b + 8
26 + 6b ≥ 6b + 8
subtract 6b from both sides
26 ≥ 8
since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg what are the quantities of the two dry fruits separately?
Answer:
Almonds = 400grams
Cashew = 300 grams
Step-by-step explanation:
Let the grams of cashew be represented by = C
the grams of almonds be represented by = A
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel
C + A = 700g ......Equation 1
C = 700 - A
If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg
Let's convert them to grams
1 kg = 1000grams
For almonds
= 288/1000 = 0.288g
For cashew
= 336/1000 = 0.336g
Hence,
0.288 × A + 0.336g × C = ₹216
0.288A + 0.336C = 216
From Equation 1, substitute 700 - A for C in Equation 2
0.288A + 0.336(700 - A) = 216
0.288A + 235.2 - 0.336A = 216
Collect like terms
0.288A - 0.336A = 216 - 235.2
- 0.048A = -19.2
A = -19.2/-0.048
A = 400 grams
Substitute 400g for a in Equation 1
C + A = 700g ......Equation 1
= C + 400g = 700g
C = 700g - 400g
C = 300g
Therefore, the number of grams of Almonds = 400grams
Cashew = 300 grams
For one day, Lacy recorded the low temperatures in five U.S. Cities. The temperatures were 5°C, -1°C,- 3°C, 2°C, and 0°C. Use a number line to order them from least to greatest.
Answer:
See Attachment for number line
Step-by-step explanation:
Given
Temperatures: 5°C, -1°C,- 3°C, 2°C, and 0°C
Required
Order from least to greatest using number line
First, we have to order the temperatures:
In order from least to greatest, we have: -3°C -1°C 0°C 2°C 5°C
Next, we calculate the range;
Range = Highest - Least
Range = 5°C - 3°C
Range = 2°C
See Attachment for number line
-4+2(-2+5)^2
______________
5-(2-4)^3
Answer:
32/13
Step-by-step explanation:
Please include the instructions when you post a problem.
Let's assume you re to simplify this expression.
We get:
-4+2(-2+5)^2 -4 + 2(3)^2 -4 + 36
__________ = ------------------- = ----------------- = 32/13
5-(2-4)^3 5 - (-2)^3 5 + 8
Help plz i need help
Answer:
A
Step-by-step explanation:
measured angle CBE is equivalent to measured angle HBF
a necklace is bought for $34 and sold for $38.25. show that the percentage profit is 12.5%
Help!!!!!!!!!!!!!!!!!!!!!
x < -3 or x > 1
=====================================================
Work Shown:
Solve the first inequality for x
3x+2 < -7
3x < -7-2 .... subtract 2 from both sides
3x < -9
x < -9/3 .... divide both sides by 3
x < -3
Do the same for the second inequality
-4x+5 < 1
-4x < 1-5
-4x < -4
x > -4/(-4) .... note the inequality sign flips
x > 1
So either x < -3 or x > 1. This points to choice A as the answer.
f(x) = (x + 2)^2 - 16 Enter the solutions from least to greatest.
Answer:
-6,2
Step-by-step explanation:
f(x) = (x + 2)^2 - 16
Set this equal to zero to find the solutions
0 = (x + 2)^2 - 16
Add 16 to each side
16 = (x + 2)^2
Take the square root of each side
±sqrt(16) = sqrt( (x + 2)^2)
±4 = x+2
Subtract 2 from each side
±4 -2 = x+2-2
±4 -2 = x
4-2 = x
-4-2 =x
2, -6
In order from least to greatest
-6,2
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
7
If y varies inversely as the square of x, and Y =
4
when x = 3, find y when x = 5.
63
a. 5
(5)
c. 7
y = y(5)
100
b. 4
d.
1
y(5) =
175
5x
125
Answer:
Step-by-step explanation:
Which points are reflections of each other across both axes?
(–2, 8) and (2, –8)
(–7, –1) and (–7, 1)
(5, –6) and (–5, –6)
(4, –3) and (–3, 4)
Answer:
Hey there!
When reflecting across both axis, we switch up the signs but keep the order of the coordinates.
Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.
Let me know if this helps :)
john receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then he spent 5$ on coffee. He now has 35$ left. How much does John get paid each day for newspaper delivery?
Answer:
Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.
Step-by-step explanation:
Write an expression to represent:
Eight more than the product of two and a number
x
Answer:
2x+8
Step-by-step explanation:
Video Rental Company A charges a sign up fee of $19.20 and then $4.24 per month to rent as many videos as you want. Video Rental Company B has no sign up fee but charges $10.57 per month for renting an unlimited number of videos. Which system of equations can be used to determine the number of months it takes, x, for the two companies to charge the same amount, y?
Answer:
x = about 3 months and y = about $32.04
Step-by-step explanation:
x = month
y = when the two companies to charge the same amount
Company A
$19.20 + $4.24x = y
Company B
$10.57x = y
10.57x = 19.20 + 4.24x
10.57x-4.24x = 19.20
6.33x = 19.20
x=19.20/6.33
x= 3.03 rounded
So about 3 months
So now we plug in x to get y
10.57 * 3.03 = about $32.03
19.20 + 4.24 * 3.03 = about $32.05
I will average between the two costs which equals $32.04
Hope this helps! :)
Find the exact value of tan A in simplest radical form.
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
Answer:
tan A = 60/11
a number is picked at random from numbers 1 to 10 what is the probability that the number is a perfect square
Answer:
40%
Step-by-step explanation:
First, we must find out how many perfect squares are between 1 and 10.
1, 2, 4, 9,
Now, we put that quantity over 10.
4 2
-- = --
10 5
Factor 13x2 + 13x + 9x + 9 = 0
Answer:
[tex]\Large \boxed{x=\frac{-9}{13} \ \ \mathrm{or} \ \ x = -1}}[/tex]
Step-by-step explanation:
[tex]13x^2 + 13x + 9x + 9 = 0[/tex]
Factor the expression.
[tex]13x(x+1)+9(x+1)=0[/tex]
Take (x + 1) as a common factor.
[tex](13x+9)(x+1)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]13x + 9 = 0[/tex]
[tex]13x=-9[/tex]
[tex]\displaystyle x=\frac{-9}{13}[/tex]
Second possibility:
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
What does "nth term" mean?
Answer:
Step-by-step explanation:
nth term means an expression which allows us to find the term that is in the nth position in the sequence.
Hope this helps
plz mark as brainliest!!!!!!!!!
please please help i will give brainless!!!
Answer:
8 roses and 12 carnations.
Step-by-step explanation:
For this question, we can use substitution.
r + c = 20, so r = 20 - c.
Substitute this into the second equation, and we get (0.75)(20 - c) + 0.5 c = 12
We can expand, getting 15 - 0.75c + 0.5c = 12.
Combine like terms, and we get 0.25c = 3.
We then solve for c: 12.
Plug this back into the first equation, and we get r = 8.
There are 8 roses and 12 carnations in Denny's bouquet.
Answer:
Denny's bouquet will hold both 16 roses and 16 carnations.
Step-by-step Explanation:
0.75x16= 12
0.5x16= 8
12+8=20
simplify 40+8×2-8×3
Answer:
32
Step-by-step explanation:
Use the correct order of operations.
40 + 8 × 2 - 8 × 3 =
= 40 + 16 - 24
= 56 - 24
= 32
A boat sails on a bearing of 73 degrees for 128 miles and then turns and sails 209 miles on a bearing of 190 degrees. Find the distance of the boat from its starting point.
Answer:
189.14 miles.
Step-by-step explanation:
This is a vector problem.
A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.
The sum of angles in a triangle = 180°
We need to find the third angle.
180° = 90° + 73° + x°
x° = 180° - (90 + 73) °
x = 180° - 163°
x = 17°
The boat then turns and sails 209 miles on a bearing of 190 degrees.
Since it is sailing 190°, it is sailing more than 180°
= 190° - 180° = 10°
This would lead to the formation of another triangle let us call it ABC
Hence, we would have:
90° - ( 10 + 17)°
90° - 27° = 63°
To find the distance of the boat, we would use Cosine rule.
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A
b = 128 miles
c = 209 miles
A = 63°
a = √(128² + 209² -2 × 128 × 209 × Cos 63°)
a = 189.14199miles
Approximately 189.14 miles.
Therefore, the distance of the boat from it's starting point is 189.14 miles.
A new backpack at the local store is originally priced $160. It is on sale for 35% off. What is the new sale price?
Answer:
$104
Step-by-step explanation:
10% = 160 ÷ 10 = $16
5% = $16 ÷ 2 = $8
30 % = 16 x 3 = $48
48 + 8 = $56
$160 - $56 = $104
Hope this helps!
Enter the value for x that makes the given equation true.
2(-2x - 4) + 6 = 5 – 3(x + 1)
Answer:
Step-by-step explanation:
-4x - 8 + 6 = 5 -3x - 3
-4x - 2 = -3x + 2
-x - 2 = 2
-x = 4
x = -4
For the expression 2(-2x - 4) + 6 = 5 – 3(x + 1) the value of x is -4.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given expression is,
2(-2x - 4) + 6 = 5 - 3(x + 1)
To find the value of x, simplify the expression,
-4x - 8 + 6 = 5 - 3x - 3
-4x - 2 = 2 - 3x
-4 = 4x - 3x
x = -4
The required value of x is -4.
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