Answer:
∠PSR = 113°
Step-by-step explanation:
Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.
7x-13+4x-5=180
11x-18=180
11x=198
x=18
Now plug x back into the angle that opposite from the one you are looking for (they are equal)
7(18)-13 = ∠PSR
126-13 = ∠PSR
113 = ∠PSR
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?
Answer:
2000007
Step-by-step explanation:
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
I need help with my homework
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.
===================================================
Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm
Step-by-step explanation:
Dimension of photograph is 35cm and 22cm.
And external dimension of photo frame is 45cm and 30cm
So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.
So, The area of the border surrounding the photograph=45×30−35×22
=1350−770=580cm
2
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
do this to get brainiest!
Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.
Step-by-step explanation:
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?
Answer:
I think it is 8.
Step-by-step explanation:
But I might be wrong.
Answer:
36 sides
Step-by-step explanation:
360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.
Find the domain and Range
f(x)= 2/7x-2
Answer:
Domain: {x|x∈R}
Range: ,{y|y∈R}
Step-by-step explanation:
If you were evaluating the expression (20 - 2^4)^4(20−24 )4 - 6, what would you do first?
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
3 to the power of 2 + (15 ÷ 5 × 6) − 49
Answer:
i think its -31
Step-by-step explanation:
thats what i got
hope this helps :)
Answer:
-22
Step-by-step explanation:
PEMDAS!
Solve (15 ÷ 5 × 6) first. This is equal to 18.
[tex]3^2[/tex] + 18 - 49
[tex]3^2[/tex] is equal to 9.
9 + 18 - 49 = -22
?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?
Answer 10$ + 8$+5$= answer that first.
Step-by-step explanation:
Write a conjecture for the following situation - the product of three odd numbers.
Answer:
5
Step-by-step explanation:
X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
The rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.
Step 1: Move the constant term (22) to the right side of the equation:
x² + 10x = 13x - 22
Step 2: Move all terms involving x to the left side:
x² + 10x - 13x = -22
x² - 3x = -22
Step 3: Take half of the coefficient of x (-3) and square it.
To both sides of the equation, add the following value:
x² - 3x + (-3/2)² = -22 + (-3/2)²
Simplifying:
x² - 3x + 9/4 = -22 + 9/4
Step 4: Make the right side of the equation simpler:
-22 + 9/4 = -88/4 + 9/4 = -79/4
Step 5: The left side of the equation should now be written as a perfect square trinomial:
(x - 3/2)² = -79/4
Therefore, the rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
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Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.
Answer:
Step-by-step explanation:
Well, the linear equation of a line is:
y=mx+b
Where
m
is the slope and
b
is your y-intercept
So, you can just plug the numbers into the equation
m = − 3
and
b = − 2
y = − 3x-2
Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
Answer: 26-5
Step-by-step explanation:
literally you take 5 aways from 26
1. There are 4 quarters in 1 dollar.
a) Shade 1 of a dollar.
2
1
a
+
b) How many cents are in
2
of a dollar?
NE
Help plss
Answer:
1) Shade 2.
2) 50 cents
Step-by-step explanation:
1/2 of a dollar is 2 so shade 2.
B) 50 cents.
Hope this helps Happy Thanksgiving !!!!!!,!
Plz help!!!!!!!!!!!!!!!!!!!!!
Answer:
c = 5n
Step-by-step explanation:
The cost is equal to the price times the number of notebooks
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Julie started with 20 prices of gum
Answer:
The answer is C) 15
Step-by-step explanation:
If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.
Equation: 20-x = 35-(2x)
when replacing 15 with x this is your new equation...
20-15 = 35-(2x15)
5 = 35-30
5=5
hope this helped :)
brainliest?
Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?
Answer:
1/2 cup of nuts
Step-by-step explanation:
If it takes 1/4 cups of nuts to make 17 cookies
Then it takes 1/4 * 1/17 = 1/68 cups of nut to make 1 cookie
So,
If 1/68 cups of nut are needed to make 1 cookie
To make 34 cookies we need;
34 * 1/68 = 1/2 cup of nuts
simplify 3square root 5 over 4square root of 5
Answer:
5[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
This is the answer because:
1) We have to do 5^1/3 x 5^-1/4
2) Next, we do 5^1/3 - 1/4 which is 5^1/12
Therefore the answer is 5^1/12
Hope this helps!
The simplified value of the given expression is 5¹/₁₂
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, [tex]\frac{\sqrt[3]{5} }{\sqrt[4]{5} }[/tex], we need to simplify it,
5¹/₃ / 5¹/₄
= 5⁽¹/₃-¹/₄⁾
= 5¹/₁₂
Hence, the simplified value of the given expression is 5¹/₁₂
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1+2=? may be 3
plz help me
Answer:
I'm pretty sure it is 3
Step-by-step explanation:
Not too sure though
The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
heyo bros i need you're help here.........
Answer:
prime number number that are divisible by itself n 1
=10
Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this
Answer:
The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.
Step-by-step explanation:
The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.
Given that,
To compare the function shown in the graph with y =7x -10.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.
Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.
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these 2 questions ASAP!! BRAINLIEST & 30 points!!
Answer:
1.) 2/5
2.) -7/5
Step-by-step explanation:
Slope Formula: m = y2 - y1/x2 - x1
1.) 2/5
m = y2 - y1/x2 - x1
m = -1 - (-3)/0 - (-5)
m = -1 + 3/0 + 5
m = 2/5
2.) -7/5
(-2,3) and (3,-4)
m = y2 - y1/x2 - x1
m = -4 - 3/3 - (-2)
m = -4 - 3/3 + 2
m = -7/5