Given:
[tex]ST=4y,TU=2y+6[/tex]
To find:
The value of y, ST and TU.
Solution:
In triangle STV and UTV,
[tex]m\angle TSV\cong n\angle TUV[/tex] (Given right angles)
[tex]m\angle SVT\cong n\angle UVT[/tex] (Given)
[tex]TV\cong TV[/tex] (Common side)
The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.
[tex]\Delta STV\cong \Delta UTV[/tex] (AAS congruence postulate)
Corresponding parts of congruent triangles are congruent. So,
[tex]ST\cong UT[/tex] (CPCTC)
[tex]4y=2y+6[/tex]
[tex]4y-2y=6[/tex]
[tex]2y=6[/tex]
[tex]y=3[/tex]
Now,
[tex]ST=4y[/tex]
[tex]ST=4(3)[/tex]
[tex]ST=12[/tex]
And,
[tex]TU=2y+6[/tex]
[tex]TU=2(3)+6[/tex]
[tex]TU=6+6[/tex]
[tex]TU=12[/tex]
Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].
please help with my geometry
Answer: 9.90
Step-by-step explanation:
tan 48= 11/x
1.11=11/x
1.11x=11
x=9.90
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
2x + 3 = 23 steps for x?
Answer:
x=10
Step-by-step explanation:
work in the photo
Answer:
x=10
Step-by-step explanation:
Subtract 3 from both sides
2x=23-3
Simplify 23-3 to 20
2x=20
Divide both sides by 2
x= 2 0/2
Simplify 20/2 to 10
x=10
plssss help meeee it's due today
Answer: use math papa.com
Step-by-step explanation:
Find the difference. Type your answer in standard form
[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]
Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%
Answer:
i. 818.18
ii. 940.9
Step-by-step explanation:
SP = 900
or, CP + 10% of CP = 900
or, CP + 10/100 × CP = 900
or, 110CP = 90000
or, CP = 90000/110
CP = 818.18
for profit= 15%
SP = 9000/11 + 15% of 9000/11
= 940.9
Divide £2680 in the ratio 5:3:2.
Answer:
Step-by-step explanation:
1) find the total of the ratio parts
5 + 3 + 2 = 10 parts in total
2) divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 * 268 = 1340
3 * 268 = 804
2 *268 = 536
The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively
What are ratios and proportions?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.
The number will be distributed as below:-
5 + 3 + 2 = 10 parts in total
Divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 x 268 = 1340
3 x 268 = 804
2 x 268 = 536
To know more about ratios and proportions follow
https://brainly.com/question/2914376
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What's the area of the circle r=1.2 yd plss help
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
What is the measure of ∠D to the nearest degree?
Answer:
Option A. 47°
Step-by-step explanation:
In the given triangle as per sine rule
sin F/DE = sin D/54
sin 71/70 = sin D/54
sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729
Therefore Option A. angle D = 47° is the answer.
Any smart people know this i’m not smart
Answer:
-8n² - 8n + 3
Step-by-step explanation:
Combine like terms (terms with the same variables, as well as the same amount of that variable).
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)
First, distribute the negative sign to all terms within the second parenthesis:
4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1
Combine like terms:
(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)
-8n² - 8n + 3
-8n² - 8n + 3 is your answer.
Answer:
Option 3
Step-by-step explanation:
What does the equation 3 + m = 8 mean?
A
Three plus eight equals m.
B
Three plus m equals eight.
С
m plus eight equals three.
D
Eight equals three m.
Answer:
The answer is B
- have a good day
Circumference = ×What is another way to write this?
Answer:
2 × pi × radius
..................
Calculate simple interest :
a) P = 2500, rate 8% PA, T = 1 year
b) P = 4200, rate 6% P.A, T = 3 year
Nhen 6 added to a number gives 13
Answer:
the simple interest in both cases is 200 and 756 respectively
Step-by-step explanation:
The computation of the simple interest is shown below:
As we know that
Simple interest = P × r% × t
So
a. Simple interest is
= 2,500 × 8% × 1
= 200
b. The simple interest is
= 4,200 × 6% × 3
= 756
Hence, the simple interest in both cases is 200 and 756 respectively
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month. Which inequality below models this situation? A 12.50n +22.50b≥80012.50n\ +22.50b\geq 80012.50n +22.50b≥800 B 12.50b+22.50n≤80012.50b+22.50n\leq 80012.50b+22.50n≤800 C 12.50b+22.50n≥80012.50b+22.50n\geq 80012.50b+22.50n≥800 D 12.50n+22.50b≤80012.50n+22.50b\leq 80012.50n+22.50b≤800
Answer:
C 12.50b+22.50n≥800
Step-by-step explanation:
Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month.
When we use the word at least in Mathematics is means that it is equal to or more than $800.
It is represented by the symbol ≥
Number of bracelets = b
Number of necklaces = n
Therefore, the inequality below models this situation is given as:
$12.50 × b + $22.50 × n ≥ $800
= 12.50b + 22.50n ≥ 800
Option C is correct.
The dot plot shows the number of pretzels that were in each snack bag made for a party.
Number of Pretzels
How many snack bags were made for the party? Enter your answer in the box.
If 4/3 of water is enough to water 2/5 of plants , how much water is needed to water all plants ....Please add an explanation .
Answer:
10 by 3
Step-by-step explanation:
When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3
As here we multiply both the fractions by reciprocal the second fraction
So the water i.e. needed to water all plants is 10 by 3
Help Math if u dont know it plz dont answer THIS IS TIMED
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps
Answer:
B is the correct one
Step-by-step explanation:
Hope that helps
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answer:
Isosceles right triangle.
Step-by-step explanation:
From the given triangle ABM,
AM ≅ MB [Given]
∠AMB is an angle subtended by the diameter AB.
By theorem, angle subtended by a diameter is always 90°.
m∠AMB = 90°
So the given triangle is a right triangle with two equal sides AM and MB.
Therefore, ΔAMB is an isosceles right triangle.
Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.
Answer: 2
Step-by-step explanation:
Given
In a litter of 10 Puppies, 4 are black i.e.
[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]
In a litter of 5, there would be
[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]
There are 2 black puppies
A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
What kind of fraction will you have when the percent is over 100%
Answer:
100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!
Answer:
"Improper Fraction"
Step-by-step explanation:
An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.
Example:
110%convert to fraction... [tex]\frac{110}{100}[/tex]simplify... [tex]\frac{11}{10}[/tex]You can go further by making it a proper fraction but that is beyond the current problem we are solving.
Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?
Answer:
13 servings
Step-by-step explanation:
(11/10) / (2/25)
= 13.75
She can make 13 servings [not enough to make up to 14 servings]
Increase £3.20 in the ratio 2:3
Please show your working out (/formulae).
Answer:
£4.80
Step-by-step explanation:
Total amount = £3.20
Ratio = 2 : 3
Old : New = 2 : 3
3.20 : x = 2:3
[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]
x = £ 4.80
Which of the following is another way of expressing 4 out of 5
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
A Traveller changed EC $1800 to Barbados currency. Calculate the amount received
Answer:
1350 bajan dollar
Step-by-step explanation:
The exchange rate of EC dollar to Barbados currency is
1 EC dollar = 0.75 Barbados currency
EC $1800 in Barbados currency = EC $1800 x 0.75 = 1350 bajan dollar
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy!!
Explanation is in the file
tinyurl.com/wpazsebu