Answer:
Parallel line slope = - 1/2
Perpendicular line slope = 2
Step-by-step explanation:
12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle TPQ,
RS || PQ, RS = 3 cm, PQ = 6 cm, ar(∆ TRS) = 15 sq. cmAs it is given that, RS || PQ
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]
Now, We know
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]
[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]
[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]
the cost of a DVD is $29.95. Sales tax is 6%. About how much will the DVD cost, including tax?
Answer:
31.75$
Step-by-step explanation:
To add sales tax, you multiply the amount you start with by 1 + what the tax is.
In this case, you multiply 29,95 by 1.06%.
29.95 × 1.06% = 31.747 or 31.75$
Answer:
30.01
Step-by-step explanation:
29.95+6%= 30.01
braiblest plz:)
hope this helps
I WILL GIVE BRAINLESS) Math Journal Write a word problem that involves a proportional relationship and needs more than one step to solve. Show how to solve the problem. 1
Answer:
565.48 sq. in.
Step-by-step explanation:
Given the Slant height and radius, we are asked to find the lateral area of the cone.
Lateral area of the cone is given by
where, 'r' is the radius of the cone.
and 'l' is its slant height.
From the figure, we see that the slant height of the cone, l = 15 in
Also, the radius of the cone, r = 12 in.
Therefore,
= 565. 48 sq. in. which is the required answer.
Answer:
A proportional relationship is written as:
y = k*x
where k is the constant of proportionality.
A general word problem that represents one of these relationships can be:
If each burger costs $1.50, what would be the cost of buying x burgers?
The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:
y = $1.50*x
Which is a proportional relationship where the constant of proportionality is $1,50
The graph of y=mx is a straight line :
(a) Parallel to the x-axis.
b) Passing through the origin
(c) parallel to the y-axis.
(d) coincides with the x-axis.
Given :-
The graph of y=mx is a straight line :(a) Parallel to the x-axis.b) Passing through the origin(c) parallel to the y-axis.(d) coincides with the x-axis.To find :-
The correct option .Solution :-
General Equation of slope intercept form ,
y = mx + c .Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .
will pass through origin.helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer: c
Step-by-step explanation:
and then when you add all of the given measurements you will have the distance from clear lake to the end of her hike
4) Ten more than number is 62.
Answer:
52
Step-by-step explanation:
62-10
please help and with an explanation if you can !! I’m not good at math bro I’ll give you brainliest
Tiffany is filling her daughter's pool with water from a hose. She can fill the pool at a rate of 1/10 gallons per second.
Create at least three equivalent ratios that are associated with the rate. Use a double number line to show your work.
The three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Tiffany can fill the pool at a rate of 1/10 gallons per second.
Equivalent ratios are the ratios that are the same when we compare them.
We know that, 60 seconds =1 minute
1/10 × 60 = 6 gallons/minute
1 gallon = 4 quarts
1/10 = 1/10×4 = 1/40 quarts/second
1 hour =60 minute
So, 6 gallons/minute =6×60
= 360 gallons/hour
Here, 6 gallons/minute = 1/40 quarts/second = 360 gallons/hour
Therefore, the three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.
To learn more about the ratio visit:
brainly.com/question/13419413.
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APQR and ARST are shown.
What is m QPR?
QPR is 68 degrees
triangle=180 degrees
180-44=136
136/2=68 (R=68 and S=68)
R has two angles so both are 68 degrees
QPR=68 degrees
PLEASE HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS.
Is 5x² + 3x - 3 a monomial, binomial or trinomial?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The number of terms in the given expression is 3, so it is a Trinomial
5x^2 + 3x - 3 is a trinomial.
A monomial is an expression that has one term, such as 3x.
A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.
A trinomial is an expression that has three terms, such as x^2 + 5x + 6.
Hope this helps!! :)
which of the following best describes an output NEED HELP PLS
Answer:
I DO FLVS AS WELL AND I GOT THAT ONE WRONG
Step-by-step explanation:
ahhhh
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
https://brainly.com/question/25212173
let x=-(2/5 ) and y= -(1/10)Which expression has a negetive value?A. x+y B. x-y
Answer: Terminology for signs. When 0 is said to be neither positive nor negative, the following phrases may be used to refer to the sign of a number: A number is positive if it is greater than zero. A number is negative if it is less than zero.
Step-by-step explanation:
Hope this helps!
Help me this is due tomorrow
Answer:
10.50
Step-by-step explanation:
in total she would have spent 10.50 because 8.75 for the peaches and 1.75 for the ice cream sandwich
Solve for x step by step: 2(n+5)=-2
Help me please help I will give you 13 point because this is due help me please
Answer:
Expression 1: 16÷8 has the greatest value.
Step-by-step explanation:
16÷8 =2
whereas,
0.16÷8= 0.02
1.6÷8= 0.2
0.16÷0.8= 0.2
:)
please help me thanks
Answer:
18 crayon in both boxes.
Step-by-step explanation:
Asked: Greatest number of equal crayons in both boxes.
Facts:
Number of crayons in pack 1 = 24
Number of crayons in pack 2 = 12
Total crayons in both packs = 24 + 12 = 36
Plan:
If both packs need to have equal crayons, then it should be dived by 2.
Solution:
36 ÷ 2 = 18
What is the value of c?
Answer:
should be 13
Step-by-step explanation:
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a black sock as a fraction in simplest form?
Answer:
3/13
Step-by-step explanation:
three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.
Pls help with these questions!!!
Answer:
[tex]9 \times 9 - 3 = 81 - 3 = 78[/tex]
Hi, I was absent yesterday on my math class and I missed the whole lesson of yesterday , teacher gave us homework on delta math and I still quite do not understand how to solve it please help!
9 + x =19 what does x equal?
Answer:
10 because 19 - 9 = 10 it works the same way for addition just swap the signs
What should you do to get both numeric terms on the right side of the equation?
Answer: To Get both numeric terms on the right side, for example add 16 to both sides of the equation
Happy To help ;)
Step-by-step explanation:
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Answer:
false
Step-by-step explanation:
Solve.
6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19
Group of answer choices
5 plus-or-minus square root of 3
5 plus-or-minus square root of 10 over 3 end root
13 over 2
Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]
The translation of the problem given is:
[tex](x - 5)^2 + 1 = 19[/tex]
Then, solving:
[tex](x - 5)^2 = 18[/tex]
[tex]x^2 - 10x + 25 = 18[/tex]
[tex]x^2 - 10x + 7 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:
[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]
[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]
[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]
[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:
[tex]x_1 = 5 + 3\sqrt{2}[/tex]
[tex]x_2 = 5 - 3\sqrt{2}[/tex]
The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]
A similar problem is given at https://brainly.com/question/13094243
A robot begins at point A travels 4 meters west, then turns and travels 7 meters south, reaching point B. What is the approximate straight-line distance between points A and B
Answer:
Approximately 8 meters
Step-by-step explana
i need help. ill mark brain to the first to answer.
Answer:
a and f
Step-by-step explanation:
1500 is double 750, which is the combined calories of lunch and breakfast, which is only 1 third.
Answer:
1st and 2nd options
Step-by-step explanation:
Daily total = (400+350)*3 = 2250
Dinner = 2250 * 2/3 = 1500
equation: 2/3*(x+400+350) = 2/3 * daily total = Dinner = x
14/25, 29/50, 53/100, 13/20, 3/5. Convert them into decimals
Answer:
14/25=0.56
29/50=0.58
53/100=0.53
13/20=0.65
3/5=0.60
Find the angle of C
Answer:
8
Step-by-step explanation:
Answer:
∠ C ≈ 22.6°
Step-by-step explanation:
Since Δ ABC is right at B
Using the sine ratio in the right triangle
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{5}{13}[/tex] ) ≈ 22.6° ( to 1 dec. place )
PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
