Answers
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
Related Questions
time to waste more points a yo help me
Answers
Answer:
1 mile every 6 minutes because 30 divided by 5 is 6 and 5 divided by 5 is 1
Step-by-step explanation:
I hoped this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Two girls, Sienna and Lexi, are walking laps on a path that goes around the pond at a local park. They start at the same place on the path, and at the same time. They plan to
continue to walk laps until they are both at the starting point at the same time. Sienna can complete a lap around the pond every 4 minutes. Lexi can complete a lap every 6
minutes.
If both Sienna and Lexi keep walking at these rates, they will first be at the starting point at the same time after
minutes.
When they meet at the starting point, Sienna will have completed
B laps around the pond, and Lexi will have completed
laps.
Answers
Answer:
Sienna will have done 6 laps while Lexi would have done 6
Step-by-step explanation:
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answers
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
Answers
Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie swim in the morning than in the evening?
Answers
4/5 - 7/15
12/15 - 7/15 = 5/15
5/15 = 1/3
Select all the expressions that have a value of 180 when b = 4.
87b−179+957÷87
33b12
b2+120
51b−24
11b+187−2,756÷13
Answers
33b12 = 1584
b2+120 = 128
51b - 24 = 180
So the answer are the first one and the last one :)))
Answer:
87b-179+957÷87=180
51b-24=180
Step-by-step explan
The diameter of a circle is 2 units What is the radius of the circle
Answers
Answer:
The radius of the circle is 1.
Step-by-step explanation:
The way to find the radius of a circle is to divide the diameter by 2.
Answer:
1
Step-by-step explanation:
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.
Answers
Answer: He spent $7.25 dollars.
Step-by-step explanation:
$3.50 + 3.25 = 7.25Inequality shows a relationship between two numbers or two expressions.
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of candy = $3.50
Cost of a pretzel = $3.25
Total amount to spend = $30
Let the number of candies = c
Let the number of pretzels = p
The inequality to spend on possible numbers of candies and pretzels:
3.50c + 3.25p ≤ 30
Thus,
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
Learn more about inequalities here:
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Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
Answers
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
7-[tex]7=\frac{w}{4} -10[/tex]
Answers
Answer:
w = 68
Step-by-step explanation:
7 = w/4 - 10
~Simplify
7 = 1/4w - 10
~Add 10 to both sides
17 = 1/4w
~Multiply 4 to both sides
68 = w
Best of Luck!
HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation
Answers
The total cost is $635.
An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.
What is the rectangular form of 17(cos(315°) + isin(315°))?
Answers
The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The rectangular form of 17(cos(315°) + isin(315°)).
We know that the value of cos 315° and sin 315°.
[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]
Then the value of the expression will be
⇒ 17[(1/√2) – (1/√2)i]
⇒ (17√2 / 2) – (17√2 / 2)i
Then the correct option is A.
More about the trigonometry link is given below.
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Answer:
A
Step-by-step explanation:
This is my sister's work, please help. will give brainliest. DON'T GIVE STUPID ANSWERS, I WILL REPORT
Answers
What is the value of 0
Answers
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction
Will give brainliest for answer!!
Answers
Answer:
4 over 20
Step-by-step explanation:
did on edg 2020
Answer:
c
Step-by-step explanation:
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
Answers
p-1/4-(21/4)=0
Step by step solution :
STEP
1
:
21
Simplify ——
4
Equation at the end of step
1
:
1 21
(p - —) - —— = 0
4 4
STEP
2
:
1
Simplify —
4
Equation at the end of step
2
:
1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:
(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
4p - 22 = 2 • (2p - 11)
Equation at the end of step
5
:
2 • (2p - 11)
————————————— = 0
4
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (2p-11) = 0
Equations which are never true:
6.2 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.3 Solve : 2p-11 = 0
Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
Help me with these please
Answers
Answer:
A) SAS
Step-by-step explanation:
The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.
If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.
Hope this helps!
find the mausure of 1
Answers
Answer:
88
Step-by-step explanation:
Every triangle has a measure of 180, so if we know two of the angles we can find the last one easily. To find angle 1, we first must find angle 2. 2 must be equal to 42 because it is vertical to the other angle that is equal to 42 degrees. Then to find angle 1 do the operation 180-(50+42). This equals 88, which is the measure of angle 1.
Answer this pls need it
Answers
Answer:
Woah im sorry buh it luks complicated ill try nd wk on it to help u out
Which set of coordinates describes a function
Answers
The answer would very. Let's say the function is y + 4 = (x + 4)
Two points would be (-4,-4) and (4,0)
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32. Which answer is the best first step to solve the equation for C?
Answers
Answer: I think that the guy above is right just subtract 32.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
We have,
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32.
Solve for C.
F = 95C + 32
Step 1:
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
Divide both sides by 95.
(F - 32)/95 = C
C = (F - 32) / 95
Thus,
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
Learn more about expressions here:
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Pls help!!!!
f(x) = sqrt(6x) g(x) = sqrt(24x) Find (fg)(x) . Assume x >= 0 .
Answers
Answer:
The answer is letter D.
If we solve the given function when the functions are f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex] then we will be able to find it equal to 12x.
What is a function?
A function is a relation in which each element of x is having a value in the y element. It is written in the form of f(x).
How to solve two functions?f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex]
(f.g)x=f(x)*g(x)
=[tex]\sqrt{6x} *\sqrt{24x}[/tex]
=[tex]\sqrt{6x}*2\sqrt{6x}[/tex]
=2*6x
=12x
Hence the value of (f.g)x is 12x.
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Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i
h is friends as shown. The length of each section is 2 feet more than 3 times its width.
T
If the total amount of fence used for the kennel is 113 feet, what is the area of each section?
Enter the value of the answer in the first blank and enter the units in the second.
Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.
Enter units as ft., square ft., or cubic ft.
Answers
Answer:
The area of each section of the kennel is 33 square ft
Step-by-step explanation:
The given parameters for the fencing are;
The length of each section, L = 2 ft + The width, 3×W
The total amount of fencing = 113 feet
The The total perimeter of the kennel = 12·W + 7·L = 113
Were we are given L = 2 + 3·W
By substitution, we have;
12 × W + 7 × (2 + 3·W) = 113
33·W + 14 = 113
33·W = 113 - 14 = 99
W = 99/33 = 3
W = 3 ft.
L = 2 + 3·W = 2 + 3 × 3 = 11
L = 11 ft.
The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.
The area of each section of the kennel = 33 square ft.
s = 2b + ph solve for h
Answers
Answer:
2
Step-by-step explanation:
Y=8-x
7=2-y
Substitute to solve
I will give Brainliest for the correct answer
Hurry please!!
Answers
Answer:
y=-5, x=13
Step-by-step explanation:
y value equals -5, plug that value into the other problem and solve
what is 2x + 27 = -3 (x+5) + 7
Answers
Answer:
The answer is x = -7
Answer:
2^x = 16
Step-by-step explanation:
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answers
Answer:
the last two
Step-by-step explanation:
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answers
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5
Solve for y.
ln(2y−1)=3
Answer y=(e^3+1/2)
for future reference
Answers
Answer:
The correct answer should be:
[tex]y=\frac{1}{2}(e^3+1)\text{ or } y=\frac{e^3}{2}+\frac{1}{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\ln(2y-1)=3[/tex]
Let’s remove the natural logarithm by raising both sides to e. This yields:
[tex]e^{\ln(2y-1)}=e^3[/tex]
The left will simplify to:
[tex]2y-1=e^3[/tex]
Add 1 to both sides:
[tex]2y=e^3+1[/tex]
Divide both sides by 2. So, the value of y should be:
[tex]y=\frac{1}{2}(e^3+1)[/tex]
Answer:
The correct answer is indeed y = [tex]\frac{e^3+1}{2}[/tex]
Step-by-step explanation:
I also took the test!
Does anyone know the answer to this?
Answers
Answer:
Step-by-step explanation:
f(n) = 128[tex](\frac{1}{4}) ^{n}[/tex]