[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]
If the given triangles are congruent, then their corresponding sides are equal as well ~
So, let's use this condition
[tex]\qquad \sf \dashrightarrow \:2y + 5 = 3y + 2[/tex]
[tex]\qquad \sf \dashrightarrow \:3y - 2y = 5 - 2[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3[/tex]
and
[tex]\qquad \sf \dashrightarrow \:2x + 7 = 15[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Need help please!
1.) m varies directly as a and b; m=10 when a=4 and b=7. Find m when a=11 and b=8.
2.) q varies jointly as x and y. Find q when x=2 and y=5, given that q=90 when x=3 and y=5.
3.) F varies jointly as x and y. If F=1 when x=1/2 and y=1/3, find F when x=2 and y=3.
4.) Let x be proportional to p and q^2, and inversely proportional to r^3. If x=9 when p=4, q=9, and r=3, find x if p=6, q=2, and r=5.
Answer:
4) v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k16/27
k = 2(27/16) = 27/8
v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64
v = 243/64 when x=3 and y=2
Step-by-step explanation:
here
F varies jointly as x and y and the value of x is 3 and y is 2.
We have given that,
1.) m varies directly as a and b m=10 when a=4 and b=7. Find m when a=11 and b=8.
What is the formula?v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k(16/27)
k = 2(27/16)
k = 27/8
v = (27/8)(3^2)/(2^3)
= (27/8)(9/8)
= 243/64
v = 243/64 when x=3 and y=2.
Therefore we get the value of x is 3 and y is 2.
To learn more about the inverse value visit:
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Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.
Answer:
Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.
Step-by-step explanation: hopes this helps you!
What can be divided into 6 and 4 without leaving a remainder?
Answer:
6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.
A natural number that has at least one factor other than 1 and itself.
Hope it helps!!!Brainliest pls!!!Which phrase describes the algebraic expression 6x?
O the quotient of 6 and a number
O the difference of 6 and a number
O the product of 6 and a number
O the sum of 6 and a number
Answer:
The product of 6 and a number
Step-by-step explanation:
There isn't any "real" mathematics needed to find the answer, just common background knowledge:
6x = 6 times x,
and product is referencing multiplication
(Since quotient is for division, difference for subtraction, and sum for addition)
considering we need to represent an expression which uses multiplication in words, the correct answer is:
O the product of 6 and a number
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Answer:
Hi shelp >//<
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Answer:
Hi shelp >//<
[tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][tex] [/tex][/tex]
Step-by-step explanation:
enebe eeeHAHAHA
ach of the
7
cats in a pet store was weighed. Here are their weights (in pounds).
5, 9, 9, 16, 12, 15, 6
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
Answer: 10.3, 9
Step-by-step explanation:
Who is the father of maths???
Answer: Archimedes
Step-by-step explanation:
Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.
Answer:
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
Please help! It's very confusing to me
Answer:
b. is the equation and 18 is the answer.
Step-by-step explanation:
the 9 plus b has to equal the 27
18 is the value of b.
Stedents are decorating a banner to hang in the school way. The banner is 9 1/2 feet long and 2 1/2 feet wide . What is the area of the border the students are decorating?
3 4/5square feet
12 square foot
24 square feet
23 3/4square feet
Answer:
it would be 12 square feet human
Step-by-step explanation:
9 1/2+2 1/2=12 so 12 square feet
Solve for x.
5x = 25
=
x = [?]
=
tim drives at an average of 80km per hour for 3 hours 45 minutes. work out how many kilometres tim drives
Tim covered 21.333 kilometers
Kilometers, km covered is distance, d
d = speed / time
d = 80 / 3 hours 45 mins
Converting 45 mins to hours we have
1 hour = 60 minutes
? Hours = 45 minutes
? = 45 / 60 = 0.75
So time is 3.75 hours
d = 80 / 3.75
= 64 / 3
= 21.333km
hope it helps
Answer:
300 km
Step-by-step explanation:
Tim drives 80 km in 1 hour or 60 minutes
Tim drives in 1 minute = 80/60 km
so, tim drives in 3 hours 45 minutes ( 225 minutes)
[tex] \frac{80 \times 225}{60} [/tex]
= 300 km
Find the exact value or type
"undefined"
tan(-315)
[?]
Answer:
the exact value of tan(-315) is 1
Answer:
The tangent of -315 is opp/adj = 1/1 = 1
Step-by-step explanation:
The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle. Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2. The tangent of -315 is thus opp/adj = 1/1 = 1
Prove it Step by Step. Parallelogram Based Question. I will make Brainelist + 50 points
Answer:
(i) ABCD = ABEC
(ii) As BF || AC then BE || AC, so CE = AB.
As AB = DC, then DC = CE
(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as
ΔDGC = ΔCFE
As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE
(iv) As DG ⊥ AC and CF ⊥ BE, and AC || BE, then DG || CF
(v) As AC || BE then GF || DC. As DG || CF (as proved in (iv)), then DGFC is a parallelogram.
Brainliest if correct
Answer:
correct answer here
Step-by-step explanation:
-77x - 78x = -155x
-66y - (-66y) = -66y + 66y = 0
264 - (-666) = 264 + 666 = 930
This leaves us with -155x = 930. Dividing by -155 on both sides, we find:
x = -6
Substitute x = -6 into one of the two original equations, solve for y, and then state the full solution to the system of equations.
Answer:
I don't understand
Step-by-step explanation:
You answer it.
Katie ate dinner at a restaurant. The bill came to $77. If she left an 18% tip, how much was the tip?
Can someone pls help me?
Answer:
$13.86
Step-by-step explanation:
Just multiply 77 by 18 percent as a decimal (.18) to get the answer, which is $13.86
Hopefully this helps- let me know if you have any questions!
Simplify (cosx)(tanx)(cscx)
[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]
[tex]\qquad \sf \dashrightarrow \:1[/tex]
The equivalent value is 1
What is the process of writing a number as a product of several factors
Answer:
Step-by-step explanation:
you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.
what is the volume inside a cylinder 10ft radius 6 ft height
Answer:
1884.956ft³
Step-by-step explanation:
[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]
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If cosθ=2/3 find cscθ using identities. This is in quad. 1.
Step-by-step explanation:
cos θ = 2/3[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]
Hence, base = 2 units and hypotenuse = 3 units.
[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]
[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]
[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]
Now, we know that :
[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]
[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]
Therefore, the required answer is 3/√5.
Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=
Answer:
(-3/8)/(-2 3/4) = 3/22
Step-by-step explanation:
Solve the following;
[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]
[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]
[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]
[tex]\frac{3}{22}[/tex]
Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]
~Learn with lenvy~
Answer:the largest angle has a measure of _____degrees.
Answer:
depends mostly it'll b 180 degress
Step-by-step explanation:
This graph shows the amount of sugar and the total calories in 8 items on the
menu at a restaurant
Answer:
a: there are 30 calories additional grams of sugar for every additional calorie in a menu item
Step-by-step explanation:
1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups
of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.
a
How much cereal should she use?
b How much water should she use?
Using proportions to relate the amount of cups needed, it is found that she should use:
a) 0.25 cups of cereal.
b) 0.75 cups of water.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:
Item a:
1/4 x 1 = 0.25 cups of cereal.
Item b:
1/4 x 3 = 3/4 = 0.75 cups of water.
More can be learned about proportions at https://brainly.com/question/24372153
What will be the angle A?
Answer: 30 degrees
Step-by-step explanation:
An envelope is 8 centimeters wide, and it measures 17 centimeters along the diagonal. How tall is the envelope? centimeters
Answer:
15cm
Step-by-step explanation:
√289-64√22515cm© the envelope is 15cm rall.
Answer:
15cm
Step-by-step explanation:
√289-64
√225
15cm
Calculate the IQR given the box plot
Answer:
10
Step-by-step explanation:
The Interquartile Range (IQR) is the difference between Q3 and Q1.
From the diagram we see that Q1 = 40, and Q3 = 50
IQR = Q3-Q1 = 50 - 40 = 10
Show that 9.1 is not a solution of the equation n-6.4 = 2.61. Then find
the solution
Answer:
The solution is 9.01.
Step-by-step explanation:
To prove that 9.1 isn't the solution we have to plug 9.1 into the equation. By replacing n with 9.1 we get 2.7 which isn't equal to 2.61.
To find the solution we must add 6.4 to both sides of the equation.
How to write 12/4 as a whole number
Answer:
3
Step-by-step explanation:
12 Divided By 4 Is 3
And 3 Is A Whole Number
Your answer is 3
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Factor 2x2 + 7x + 10x + 35 by grouping.
Answer:
(x+5)(2x+7)
Step-by-step explanation:
x(2x+7) + 5(2x+7)
(x+5)(2x+7)
I hope this helps!!