△JKL and △LMN are shown.
TrianglesJ K L and M N L share point L. Angle K measres 72 degrees. J K and K L are congruent. L M and L N are congruent.
What is m∠KJL?
m∠KJL =
Answers
Answer:
m∠KJL = 54°
Step-by-step explanation:
In ΔJKL,
m∠JKL = 72°
JK ≅ KL
Since, two sides of ΔJKL are congruent, triangle is an isosceles triangle.
By the property of an isosceles triangle,
Opposite angles of the congruent sides of an isosceles triangle are equal in measure.
Therefore, ∠J ≅ ∠L
By the property of a triangle,
Sum of all interior angles of a triangle is 180°.
m∠J + m∠K + m∠L = 180°
m∠J + 72° + m∠J = 180° [Since, m∠J = m∠L]
2m∠J = 180° - 72°
m∠J = 54°
Therefore, m∠KJL or m∠J is 54°.
This question is based on the concept of congruency. Therefore, the angle KJL is 54°.
Given:
Triangles J K L and M N L share point L. Angle K measures 72 degrees. J K and K L are congruent. L M and L N are congruent.
We need to determined the angle KJL.
According tot the question,
It is given that, in ΔJKL,
⇒ ∠JKL = 72°
⇒ JK ≅ KL ( Given )
Therefore, two sides of ΔJKL are congruent. So, the triangle is an isosceles triangle.
By using the property of an isosceles triangle,
Opposite angles of the congruent sides of an isosceles triangle are equal in measure.
Therefore,
⇒ ∠J ≅ ∠L
By the property of a triangle,
As we know that, sum of all interior angles of a triangle is 180°.
⇒∠J + ∠K + ∠L = 180°
⇒∠J + 72° + ∠J = 180° [Since, ∠J = ∠L]
⇒2 ∠J = 180° - 72°
⇒∠J = 54°
Therefore, ∠KJL or ∠J is 54°.
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-6(w+2)=w-9+3(3w+1)
solve for w.
Answers
Answer:
w = -3/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
-6(w + 2) = w - 9 + 3(3w + 1)
Step 2: Solve for w
Distribute: -6w - 12 = w - 9 + 9w + 3Combine like terms: -6w - 12 = 10w - 6Add 6w to both sides: -12 = 16w - 6Isolate w term: -6 = 16wIsolate w: -3/8 = wRewrite: w = -3/8Is 30/54 equivalent to 3:5
Answers
Answer:
It is not.
Step-by-step explanation:
See, lets do simplification
30 divided by 10 = 3
54 divided by 10= 5.4
3:5 is not equal to 3:5.4
How would you solve the equation 3x+6=21
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Answer:
x=5
Step-by-step explanation:
3(5)=15
15+6=21
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Step-by-step explanation:
Early point give away What is 100 times 10 to the 9 power.
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Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what is the maximum in the context of this problem?
Group of answer choices
(6, 25)
(3, 12.5)
(3, 25)
(20, 3)
Flag this Question
Answers
Answer:3, 25
Step-by-step explanation:
The seconds should be the x-axis and the height is y axis. Also thinking about how a kicked ball makes an arch, the max is 25, and the mid point between 0 and 6 is 3.
The maximum in the context of this problem is 3, 25.
We have given that,
Victoria kicked a soccer ball laying on the ground. It was in the air for 6 seconds before it hit the ground.
While the soccer ball was in the air it reached a height of approximately 25 feet.
Assuming that the soccer ball’s height (in feet) is a function of time (in seconds),
We have to determine what is the maximum in the context of this problem.
What is the maximum?The definition of maximum is the largest number or highest number of something that is permissible or possible.
The seconds should be the x-axis and the height is the y-axis.
Also thinking about how a kicked ball makes an arch, the max is 25, and the midpoint between 0 and 6 is 3.
To learn more about the soccer ball visit:
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How many days does it take Mercury to orbit the Sun 8 times?
Answers
Answer:
88 days to complete 1 whole orbit so if it orbited 8 whole times around the sun it would be 704
Hope I helped
Answer:
88
Step-by-step explanation:
It's proximity to the Sun also means that it orbits the planet quite rapidly. To break it down, Mercury takes roughly 88 Earth days to complete a single orbit around the Sun.
Sofia saw a sign that all calculators were 20% off the regular price. She determined that if she substituted the price of the calculator she wants (c) into the expression c - 0.2c, she could find the sale price of the calculator after the discount.
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If the sale price of the calculator was $28.00, what was the original price? Justify your solution.
Answers
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Step-by-step explanation:
Solving equations
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Answers
Answer:
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Step-by-step explanation:
-2/5x-1=9
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x=-25
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[tex] - \frac{2}{5} x - 1 = 9 \\ [/tex]
Add sides 1
[tex] - \frac{2}{5} x - 1 + 1 = 9 + 1 \\ [/tex]
[tex] - \frac{2}{5} x = 10 \\ [/tex]
Multiply sides by 5
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Divide sides by - 2
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[tex]x = - 25[/tex]
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Which of the following is not equivalent to the equation a- 3b = 5c + 9
Answers
Answer:
Answer:when a=1 , b=2, c= -1
Answer:when a=1 , b=2, c= -1Step-by-step explanation:
Answer:when a=1 , b=2, c= -1Step-by-step explanation:1-3(2)= 5(-1)+9
1-6= -5+9
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Answers
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
We assume flour is proportional to cookies, so we have ...
cups/dozens = x/10 = 4/3
Multiplying by 10 gives ...
x = 40/3 = 13 1/3
13 1/3 cups of flour are needed for 10 dozen cookies.
Answer:
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Step-by-step explanation:
The pupil is the circular opening that allows light into the eye. An optometrist dilates a patient's pupil from 6 mm to 8 mm. The scale factor under this dilation is ?
Answers
Answer:
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Step-by-step explanation:
Scale factor is a ratio of the length of side in one object to the length of a corresponding side of the other object.
In this case, the scale factor will be the ratio of the new dilated pupil size of the patient to the previous size of the pupil
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Andrea said that if m 2 2 = 40° then m 3 must also be equal to 40°. Which justifies Andrea's statement?
A
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B. Alternate exterior angles are congruent.
C. Corresponding angles are congruent,
D. Consecutive interior angles are supplementary
Answers
Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
Corresponding angles that are congruentAlternate interior angles that are congruentAlternate exterior angles that are congruentConsecutive interior angles that are supplementaryIn the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
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→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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The equation should be [tex]f = x\times 5[/tex]
Calculation of an equation:The equation represents the statement where the values of two mathematical expressions should be equivalent to that presented by the sign = or equal sign.
Since the input of a function f increases by 1, the output increases by 5
So, the equation should be
[tex]f = x\times 5[/tex]
Learn more about the equation here: https://brainly.com/question/24685162
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Answers
Answer:
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Step-by-step explanation:
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A school bus weighs 15{,}59115,59115, comma, 591 kilograms.
Round the weight of the bus to the nearest thousand.
kilograms
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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w – 8 =5
A. -40
B. -13
C. -3
D. 13
Answers
Answer:
d.13
Step-by-step explanation:
If you bring the 8 to the to the other side and you add to 5 you get 13. Also if you plug in the answer choices you should 13 since it makes the most sense. (13-8=5)
Answer:
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Step-by-step explanation:
