Answer:
The value of x is 15.
Step-by-step explanation:
Given
PQRS is a parallelogram.
∠Q = (3x + 25)°
∠S = (5x - 5)°
To determine
The value of x = ?
We know that both pairs of opposite angles of a parallelogram are congruent.
As ∠Q and ∠S are opposite angles of a parallelogram. Therefore, ∠Q and ∠S are equal.
Thus,
∠Q = ∠S
substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation
(3x + 25)° = (5x - 5)°
subtract 25 from both sides
3x + 25 - 25 = 5x - 5 - 25
3x = 5x - 30
flip the equation
5x - 30 = 3x
add 30 to both sides
5x - 30 + 30 = 3x + 30
5x = 3x + 30
subtract 3x from both sides
5x - 3x = 3x + 30 - 3x
2x = 30
divide both sides by 2
2x/2 = 30/2
x = 15
Therefore, the value of x is 15.
Find the perimeter of the following shape:
Toni's grandmother is 3 years more than 6 times Toni's age. The sum of their ages in years is 87. Which equation can be used to find each of their ages?
Answer:
87 divided by 36= 2.41
Step-by-step explanation:
Answer: 6y + y + 3 = 87
Step-by-step explanation:
Toni is 6y+3, there grandmother is y, the sum is all together. 6y + 3 + y, and rearrange it.
Which of the following steps indicates the distributive property when solving -3(x+2)=21
Answer:
When you multiply -3 to x and +2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(x+2)=21
Multiple -3 to (x+2)
-3x-6=21
then add 6 to 21
-3x=27
Divide by -3 to get an x
Who is the protagonist?
A. the magician
b. Aladdin
c. the princess
D. the tailor
Answer:
it is a) the magician
Step-by-step explanation:
comment if its wrong mark me brainlest if it is right
The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.
A) What is the constant of proportionality in this equation?
B) What information does the constant of proportionality provide us?
C) How many apples can you buy for $3?
Be sure to answer parts A, B and C. Make sure that you label each answer.
Answer:
(a) The constant of proportionality is 0.25
(b) 1 apple = $0.25
(c) $3 = 12 apples
Step-by-step explanation:
Given
[tex]c= 0.25n[/tex]
Solving (a): The constant of proportionality;
For an equation:
[tex]c=kn[/tex]
Where
k = constant of proportionality
By comparing: [tex]c=kn[/tex] to [tex]c= 0.25n[/tex]
[tex]k = 0.25[/tex]
Hence, the constant of proportionality is 0.25
Solving (b): What information does [tex]k = 0.25[/tex] gives.
It represents the unit rate.
So, it means that 1 apple costs $0.25
Solving (c): Number of apples for $3.
This means that [tex]c = 3[/tex]
Substitute 3 for c in [tex]c= 0.25n[/tex]
[tex]3 = 0.25n[/tex]
Make n the subject
[tex]n = \frac{3}{0.25}[/tex]
[tex]n = 12[/tex]
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
HELP PLEASE WILL MARK BRAINLIEST WHAT IS -5x^2+7x+1 from 8x^2+x-10
Answer:
13x^2- 6x - 9
Step-by-step explanation:
Please use the word "subtraction" or "less ... " or similar.
8x^2+x-10 less -5x^2+7x+1 is
8X^2 + x - 10
-(-5x^2+7x+ 1)
-----------------------
13x^2- 6x - 9
algebra what is 6a6 over 2a2=
Answer:
3a^4
Step-by-step explanation:
Simplify the expression.
Sarah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she flips a coin, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answer:
Step-by-step explanation:
Total outcomes: 2(5)(6)
= 60
Coins, heads, or tails are the practice of flinging a coin through into the air and checking what side shows whenever it lands, to choose between two possibilities, heads or tails, that are occasionally used for trying to settle conflicts between different parties.
The party which calls the coin's side wins.We find it because when we turn a coin very often, humans get half the heads and half the tails. The chances of swinging the head are [tex]\bold{\frac{1}{2}}[/tex], and the chances of swinging the tail are [tex]\bold{\frac{1}{2}}[/tex].Total outcomes: [tex]\bold{2 \times 5 \times 6 = 60}[/tex]
So the final answer is "60".
Learn more:
brainly.com/question/23567648
Please help :(
To multiply a sum or difference by a number, multiply each
number in the sum or difference by the number ____________ the
parentheses.
Options:
inside
outside
above
below
Answer:
Outside
Step-by-step explanation:
From what I see, your question might look like this a(b +/- c)
"a" would be on the outside.
A car goes 50 miles in 40 minutes. What is the speed of car in miles per minute?
Answer:
1.25miles per minute
Step-by-step explanation:
Answer:
Use the formula Speed=distance/ time. In this case you dont need to convert the time to hours so you would do 50/40 which equals 1.25 miles per minute. :)
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
4 ft 11 in
Step-by-step explanation:
60 in = 5ft
68 in - 9 in = 59 in
59 in = 4 ft 11 in
sam writes on a white board the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3. What is the smallest possible value of q?
Answer:7
Step-by-step explanation:
This question is on the ukmt junior maths challenge which I'm doing now, out of the options given I got 7, because 2+4+6+5+(5×20)+(7×7)= 166, (then dividing that by the number of numbers to get the mean) so 166÷31= 5.354.....
Also the 3 has a recurring symbol above it
The 7 is times seven so uh yeah<3
The smallest possible value of 'q' is 7 and this can be determined by using the hit and trial method and mean formula.
Given :
Sam writes on a whiteboard the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board.The mean of all the numbers on the board is then 5.3.The following steps can be used in order to determine the smallest possible value of q:
Step 1 - The formula of the mean can be used in order to determine the smallest possible value of q.
Step 2 - The mean of all the numbers is given by:
[tex]\rm \dfrac{2+4+6+5+5p+7q}{6+p+q}=5.3[/tex]
[tex]\rm \dfrac{21 + 5p + 7 q}{6+p+q} = 5.3[/tex]
Step 3 - So, by the hit and trial method, the value of q can be determined.
Therefore, the value of 'q' is 7.
For more information, refer to the link given below:
https://brainly.com/question/25277954
Find two unit vectors orthogonal to both given vectors i + j + k and 5i + k.
Answer:
[tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]
Step-by-step explanation:
The two vectors are
[tex]a=i+j+k[/tex]
[tex]b=5i+k[/tex]
Unit vector is given by
[tex]\dfrac{a\times b}{|a\times b|}[/tex]
[tex]a\times b=\begin{vmatrix} i & j & k\\1 & 1 & 1\\5 & 0 & 1\end{vmatrix}\\ =i(1-0)-j(1-5)+k(0-5)\\ =i+4j-5k[/tex]
[tex]|a\times b|=\sqrt{1^2+4^2+(-5)^2}=\pm\sqrt{42}[/tex]
[tex]\dfrac{a\times b}{|a\times b|}=\dfrac{i+4j-5k}{\sqrt{42}}\\\Rightarrow \dfrac{a\times b}{|a\times b|}=\pm\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]
The two unit vectors that are orthogonal to both given vectors is [tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex].
What are the angles sizes
david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?
Nishat has 6 cousins
Becky has twice as many cousins, so that would mean Becky has 12 cousins
David has twice as many cousins as Becky, so David has 24 cousins
I feel bad for David
Help me out! Answer? Anyone??
Answer: C and D.
Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.
What is a function? *
Answer:
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
hope this helps
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answer:
need a picture hdhxhxhxhx
$59 power tool, 5% sales tax
Answer:
$2.95 sales tax. $61.95
Step-by-step explanation:
Answer:
$61.95
Step-by-step explanation:
First find the amount of sales tax.
59 times .05= 2.95
Sales tax is $2.95, because 5% is written as .05 as a decimal. .05 times 59 gives us how much money 5% of $59 is.
Now add that to the original price!
59+2.95= 61.95
So our final price is $61.95
Hope this helps!
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
are ogres like onions?
Answer:
Yes they have layers
Step-by-step explanation:
Ogre
Layers
like
onion
Fill in the blank.
The measure of center that is the value that occurs with the greatest frequency is the
The measure of center that is the value that occurs with the greatest frequency is the
Answer:
Mode
Step-by-step explanation:
Mode
Measure of centerThe center measure, which is the value that occurs with the greatest frequency, is the mode The mode is the most common value in a set of data values.A measure of center, also known as central tendency, is a single number that is used to describe a collection of numerical data.A measure of central tendency (measure of center) is a value that attempts to explain a set of data by determining the data set's central position (as representative of a "typical" value in the set).Find out more information about mode here:
https://brainly.com/question/11163338?referrer=searchResults
h(x)=4/x-5
What is the domain of h?
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
What is the slope of the coordinates (8,1) and (5,-2)
Answer:
I know this isn't the answer you'd like, but there's a graphing app called ''desmos'' and you can enter the equation in there and it gives you your answer.
Step-by-step explanation:
Please help 15 points
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
13/x = 6/20 solve for x
The correct answer is
[tex] = \frac{130}{3} [/tex]
How to find the domain of a composite function
Answer:
The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .
Can anyone help me out
I need help please, been stuck on this question.
Answer:
D) [tex]\frac{1}{6}[/tex]
g¹(1) = [tex]\frac{1}{6}[/tex]
The inverse of the function [tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that f(x) = (2x+1)³
Let y = (2x+1)³
[tex]y^{\frac{1}{3} } =2x+1[/tex]
[tex]2x = y^{\frac{1}{3} } -1[/tex]
[tex]x = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]
Step(ii):-
y = f(x) ⇒ x = f⁻¹ (y)
⇒ [tex]f^{-1} (y) = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]
[tex]f^{-1} (x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
The inverse of the given function
[tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]g^{l} (x) = \frac{1}{2} X \frac{1}{3} x^{\frac{1}{3} -1}[/tex]
[tex]g^{l} (x) = \frac{1}{6} x^{\frac{-2}{3} }[/tex]
Final answer:-
Put x=1
[tex]g^{l} (1) = \frac{1}{6} 1^{\frac{-2}{3} } = \frac{1}{6}[/tex]