In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answers
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
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Explain why SSA is not a criterion for triangle congruence.
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Answer:
i think you got it by now
Step-by-step explanation:
Answer:
Step-by-step explanation:
four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. ... Because there are 6 corresponding parts 3 angles and 3 sides, you don't need to know all of them.
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Answer:
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Answer:
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Step-by-step explanation:
24 + 2 = 26 ---> x = 26, y = 11
Answer:
the answer is c.) x = 26, y = 11
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Answer:
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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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Step-by-step explanation:
when adding or subtracting fractions, we will always want the denominators to be the same.
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Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected
mean , median, range or standard deviation
Answers
Answer:
mean for the the second median for the 1st one
Step-by-step explanation:
Andy used 16 centimeters of tape to wrap 4 presents. How many presents did Andy wrap if he used 32 centimeters of tape?
Answers
Answer: 8
Step-by-step explanation:
16 centimeters of tape for 4 presents = 4 centimeters of tape per present.
Since he used 32 centimeters of tape, he wrapped a total of 8 presents.
Answer:
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Step-by-step explanation:
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One number is 0.9 of another number. Their sum is 0.038. Find each number.
Answers
Answer: .018 and .02
Step-by-step explanation:
X=.9Y
X+Y=.038
X=.9Y
X=-Y+.038
-Y+.038=.9Y
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What is the fractional form for point A? Options: -3/4 -1/4 1/4 7/8
What is the approximate decimal form for point B? Options: 1.2 1.16 -1.16 0.857
Answers
Answer: A -3/4
B 1.6
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
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Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles
Answers
Step-by-step explanation:
2/3 of diatance = 10 miles
3/3 of distance = 10 * (3/2) = 15 miles.
The distance between the houses is 15 miles. (B)
Let the total distance covered= x
Distance covered= 10 miles
According to the question,
2/3 of x= 10
=> 2/3 × x= 10
=> 2x/3= 10
=> 2x= 10× 3
=> 2x= 30
=> x= 30/2
=> x= 15
Bob's house is 15 miles away from Henry's house.
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Answers
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Answer:
Step-by-step explanation:
Done
10. A ladder 6.5 metres long leans against a wall,
touching a window sill, and makes an angle of
62° with the ground. Find the height of the
window sill above the ground. How far is the
foot of the ladder from the foot of the wall?
Answers
Answer:
5.74m, 3.05m
Step-by-step explanation:
The set up is a right angled triangle.
Length of the ladder is the hypotenuse = 6.5m
Angle of elevation = 62°
Required
Height of the window (opposite)
Using SOH CAH TOA trigonometry identity
Sin theta = opp/hyp
Sin62 = opp/6.5
Opp = 6.5sin62
Opp = 5.74m
Hence the height of the window is 5.74m
The distance of the ladder from the foot of the wall is the adjacent
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adj = 6.5cos62
adj = 3.05m
Hence the distance of the ladder from the foot of the wall is 3.05m
Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)
Combine like terms.
Final Answer:
Answers
Answer:
x^3-8
Step-by-step explanation:
x^3+2x^2+4x + -2x^2-4x-8
+2x^2 and -2x^2 cancel out
+4x and -4x cancel out
17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last
Answers
Answer:
George Washingmachine
Step-by-step explanation:
Answer:
[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)
Step-by-step explanation:
Convert first:
[tex]12 \div 2 = 6[/tex]
[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]
[tex]= 225\pi[/tex]
[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)
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A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?
A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08
Answers
Answer:
d. 0.08
Step-by-step explanation:
52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08
Half the cards (26) are red
Then there are 2 red kings out of the 26.
Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076
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O-3
O3
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Answers
Answer:
Step-by-step explanation:
Option C 3 is the correct answer
Answer:
3
Step-by-step explanation:
1. Simplify -4 + 7 to 3.
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2. Simplify 3 × 2 to 6.
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3. Simplify.
3
Conclusions from data - confidence intervals and margins of error
right answers only!
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Answer:
Is Something supposed to be attached?
Step-by-step explanation:
Is this true or false? The following graph represents a proportional relationship
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
At the King School, 55% of the students take a bus to school. If 220 students take a bus to school, how many students are there in total?
Answers
Answer:
400 student
55/100 * x(unknown) = 220
55x/100 =220
CROSS MULTIPLY
55X = 22000
X = 22000/55
X = 400
The total number of students at the King School is 440.
Given that, at the King School, 55% of the students take a bus to school.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of students be x
So, 55% of x =220
⇒ 55/10 ×x=220
⇒ 0.55x=220
⇒ x=220/0.55
⇒ x=440
Therefore, the total number of students at the King School is 440.
To learn more about the percentage visit:
brainly.com/question/24159063.
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Answer:
C [tex]\frac{48}{70}[/tex]
Step-by-step explanation:
Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].
John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes
Answers
Answer:
It will take John 45 minutes (option 3 or C) to finish the test.
Step-by-step explanation:
We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.
75 ÷ 5 = 15
Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.
15 x 3 = 45 minutes
Therefore, it will take John C. 45 minutes to finish the test.
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
C. [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
To find the slope when you know two points, use this formula:
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M = (4 - (-8)) ÷ (0 - (-7))
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If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
Answers
Answer:
275 m/s2
Step-by-step explanation:
I know because I had this question in a test and got it correct.
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
What is force?A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.
From Newton's Second Law, force is expressed as;
F = m × a
Where is mass of object and a is the acceleration
Given the data in the question;
Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?We substitute our given values into the expression above.
200kgm/s² = 55000kg × a
a = 200kgm/s² ÷ 55000kg
F = 0.0036m/s²
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
Learn more about force here: brainly.com/question/27196358
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Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
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1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answers
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
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now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
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do you go to meridian
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