Examine the pair of triangles given below. If EDC ~ KGH then the value of K is... (photo included)
Answers
Answer:
56°
Step-by-step explanation:
the question tells us the 2 triangles are similar, thus the angoes are identical on the 2 triangles. with this right triangle, you can see there is a long leg, short leg, and the hypotenuse. in order to solve this, you need to find the angle on the first triangle that corresponds to the second triangle. in this case, we can conclude angle K corresponds to angle E because the angles are adjacent to the long leg and hypotenuse, and opposite to the short leg.
Related Questions
enter the length of PQ to the nearest tenth.
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Answer:
[tex]\displaystyle PQ \approx 5.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 55°
Adjacent Leg = PQ
Hypotenuse = 9
Step 2: Solve
Substitute in variables [cosine]: [tex]\displaystyle cos55^\circ = \frac{PQ}{9}[/tex][Multiplication Property of Equality] Isolate PQ: [tex]\displaystyle 9cos55^\circ = PQ[/tex]Evaluate: [tex]\displaystyle 5.16219 = PQ[/tex]Rewrite: [tex]\displaystyle PQ = 5.16219[/tex]Round: [tex]\displaystyle PQ \approx 5.2[/tex]Serenity invested $1300 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Serenity would have in the account 10 years after her initial investment. Round to the nearest tenth (if necessary).
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Answer: 2018.9
Step-by-step explanation:
5x - 9y = -13
-2x + 3y = 4
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Can you explain more? if your looking for the slope of both it is 5/9 for the fist one and 2/3 for the second. If your looking for y and x -intercept for the first one x intercepts at (-2,0) and y intercepts at (0, 4/3) and, for the second one x intercepts at ( -13/5, 0) and y intercepts at (0, 13/9)
A composite figure is shown below.
What is the area of the figure?
A 6
B 8
C 9
D 10
Answers
Answer:
option C 9 unit².
Step-by-step explanation:
option C 9 units ²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you if you find it useful.
What is the value of x when angle 1 is74° and angle 2 is 6x + 8° ?
Answers
Answer:
74 + 6x + 8 = 180
6x + 82 = 180
6x = 180 - 82
6x = 98
x = 98/6
x = 16.3
this answer is only correct
when angles in linear pair
The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions of a TV are 16 inches by 12 inches, what size is this TV?
A)28 inch
B)20 inch
C)16 inch
D)12 inch
Answers
Answer:
A
Step-by-step explanation:
You have to do step by step
Applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
Recall:
Diagonal of a rectangle can be found using the Pythagorean Theorem given as: [tex]d = \sqrt{l^2 + w^2}[/tex]Where, d = diagonal, l and w are the dimensions of the shape.Given:
l = 16 inches
w = 12 inches
Therefore,[tex]d = \sqrt{16^2 + 12^}\\[/tex]
[tex]d = \sqrt{400} \\\\\mathbf{d = 20 inches}[/tex]
Therefore, applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
Learn more here:
https://brainly.com/question/11239816
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1938 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value 3.14 for pi, and round up your answer to the next square meter.
Answers
Step-by-step explanation:
Area = Area of sides + area of semicircle thing
= (2*0.21*0.31) + (2*0.31*0.61) + (0.21*0.61) + ( 3.14*0.105*0.61) + (3.14*0.105*0.105) = 0.872 m^2
Total area = 0.872 *1106 =964.43 m^2
Answer =965 m^2
Find the sum
(7x^6 + 2x^5 – 3x^2 + 9x) + (5x*5 + 8x^3 – 6x² + 2x - 5) =
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Answer:
i think
7x^6+7x^5+8x^3-9x^2+7x-5
question in the picture, thanks for helping :D
Answers
Answer:
The answer is the first option
Answer:
A) [tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{8}+\frac{3}{4} }{-\frac{2}{3}-\frac{5}{6} } \\\\\frac{\frac{5}{8}+\frac{6}{8} }{-\frac{4}{6}-\frac{5}{6} }\\\\\frac{\frac{11}{8} }{-\frac{9}{6} } \\\\\frac{11}{8} (-\frac{6}{9})\\\\-\frac{11}{12}[/tex]
The sum of 2/3m and 1/5
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Hope this helps
please help with this!!!
Answers
The Y-Intercept is the point where the line intersects on the y-axis!
Find the distance between the pair of points.
(-14, 11) and (-7,5)
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Answer: 13 units or whatever measurement you're using.
Step-by-step explanation: First get -14 to -7 by adding 7. Then get 11 to 5 by subtracting 6 then adding 6 and 7 together I'm pretty sure.
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Owen can use while staying within his budget.
Answers
Answer:
1 gig im preety sure i might be wrong
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
what's the question i need more info
ASAP plz I’m being times 40 point + Brainly for correct find slope and rate of change
Answers
Answer:
slope: -30x
rate of change: -30
Step-by-step explanation:
[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex] \frac{ - 30}{1} [/tex]
slope = -30x
rate if change: -30
Write the ratios for sin A and cos B. 10 AC, 24 CB, 26 BA
Answers
Answer:
acdc
Step-by-step explanation:
A construction company wants to hire x carpenters for $220 a day and y plumbers for $260 a day. the company wants to hire at least 18 workers. it wants to pay no more than $4500 each day.
write a system of inequalities to model the situation (use >, <, <=, =>)
Answers
Answer:6
Step-by-step explanation:
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day. Now lets find how much it cost to 12 plumbers at $260 a day. $260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
1,000 cm = 0.01 km
Correct or incorrect
Answers
Answer:
Correct
Step-by-step explanation:
Answer:
Correct
Step-by-step explanation:
Hope this helps
What is md enter your answer in the box
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because if you add 14+45 it equals 59 then you minus 180 because a triangle is 180 degrees then you get 121 and then 121 minus 27= 94
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:
Answers
Answer:
43
Step-by-step explanation:
Given
2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression
= 2(7 - (- 2)) + 5(7 + (- 2))
= 2(7 + 2) + 5(7 - 2)
= 2(9) + 5(5)
= 18 + 25
= 43
hi please help i’ll give brainliest please
Answers
Answer:
the answers for 72-y=6 is 66
Answer:
its 66 bc if ur subtracting y from 72 to get 6 it has to be that
Can someone help me with this. Will Mark brainliest.
Answers
Answer: [tex]\sqrt{89}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1)} ^{2} } +(y_{2} -y_{1} )^{2} }[/tex]
(-1, 9) and (7,4)
[tex]d=\sqrt{(7-(-1))^{2}+ (4-9)^{2} }[/tex]
[tex]d= \sqrt{8^{2} +(-5)^{2} }[/tex]
[tex]d=\sqrt{64+25} \\d=\sqrt{89}[/tex]
Using the graph, determine the equation of the circle
Answers
Answer:.
Step-by-step explanation:
Well if you look at the graph and first look at the
joe nuts
50 Points Help will give brainliest
Answers
1. To transform from standard form to vertex form you need to complete the square.
To transform from vertex form to standard form multiply the equation out and combine all the like terms.
2. The attributes from vertex form would be the roots ( zeros)
From standard form the attribute would be the lowest point, also known as the vertex.
HELPPP MEE PLSSS
Find m∠2
Answers
Answer:
Step-by-step explanation:
180-68=112
1= 68
2=112
In 1998 there were 305 students who graduated from high school. In 2019, there were 356 students. What is the rate of change in the number of students?
1. About 1 student per year
2. about 51 students per year
3. about 2 students per year
4. about 5 students per year
Answers
Answer:
3. about 2 students per year
Step-by-step explanation:
The rate of change would be the difference in the number of students divided by the number of years passed.
So, rate of change = [tex]\frac{356-305}{2019-1998}[/tex]
= [tex]\frac{51}{21} = 2.43[/tex]
So it's around 2 students per year.
I hope this is correct and helps!
Jesse read 98 pages of a book in one week. What was his unit rate of
pages read per day?
Answers
Answer:
14 per day
Step-by-step explanation:
Please mark brainliest
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x
Answers
Answer:
Step-by-step explanation:
i go to southwind what’s the answer ??
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let f(x) represent the amount of space paved in x hours.
Given the function:
f(x) = 300x
Therefore to pave 1000 ft²:
1000 = 300x
x = 3.33 hours
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
Find out more at: https://brainly.com/question/21105092
Mr Abraham is able to divide the learners in his mathematics class into equal groups of 2, 5 or 6 without leaving any learners out. What is the smallest possible number of learners in the class
Answers
Answer:
30
Step-by-step explanation:
Find the lowest number divisible by both 6, 5, and 2.
To start, let's list off the numbers divisible by six, and see if we can check any of them off for 5. Since both 2 and 6 are even numbers, we know that if a number is divisible by 6, it's divisible by 2.
6 12 18 24 30 36 42 48 54 60
All of these numbers are divisible by two. Let's find the lowest one that is divisible by 5. We know this by either the umber ending in 5 or 0.
30 is the lowest number that is divisible by 2, 5, or 6.
Can someone please solve this it's very important thank you