Answer:
1. ACB, CDB and ADC are all similar to eachother.
2. 10
3. CD=8, AD=10.666667, AC=13.33333
4. X=2.4
5. X=√10
6. X=√15
Step-by-step explanation:
1. To prove triangles are similar, prove they share at least two angles.
Triangle ACB is similar to triangle CDB because they both share a 90° angle and ∠B.
Triangle ACB is similar to triangle ADC because they both share a 90° angle and ∠A.
Since ACB is similar to both CDB and ADC respectively, CDB is similar to ADC.
2. Use similar triangles to find AB
ACB is similar to CDB
AB/CB=CB/DB
AB/10=10/6
AB=100/6=16.666667
Geometric mean: √(16.66667*6)=10
3.
Find CD using Pythagorus:
10²=6²+CD²
CD²=100-36
CD=√64=8
Use similar triangle ratios to find AD:
CDB is similar to ADC.
CD/DB=AD/DC
8/6=AD/8
AD=8(8/6)=10.6666666667
Find AC using Pythagorus:
AC²=10.66666666667²+8²
AC=√177.7777777778
AC=13.333333333
4. √(40²+30²)=50
30/50=X/40
X=2.4
5. (√35)²=X²+5²
35=X²+25
X=√10
6. √((√10)²-(√6)²=√(10-6)=2
√6/2=X/√10
6/4=X²/10
X²=10(1.5)
X=√15
Expression equivalent to 8p-3n+4q-9m
Answer:
4p-n+2q-3m is equivalent to 8p-3n+4q-9m
The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
8p - 3n + 4q - 9m
We have to determine the equivalent expression to the given expression
As per option (C), we have
⇒ 4(2p+ q) - 3(n+3m)
Apply the distributive property of multiplication,
⇒ 4 × 2p+ 4 × q - 3 × n + 3 × m
⇒ 8p + 4q - 3n + 3m
Rearrange the terms in the above expression,
⇒ 8p - 3n + 4q - 9m
So this expression is the same as the given expression.
Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.
Learn more about Expressions here :
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The question seems to be incomplete the correct question would be:
Which expression is equivalent to 8p-3n+4q-9m
A. 0
B. 5pn - 5qm
C. 4(2p+ q)-3(n+3m)
D. 4(2p+q)-3(n-3m)
please help as fast as possible
Answer:
D
Step-by-step explanation:
You can divide each side length by two to get D
Answer:
The answer is D
Step-by-step explanation:
Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?
help asappp!!!
Answer:
The kind of ice cream the least number of students prefer is Strawberry ice cream.
Step-by-step explanation:
We convert all given values to decimal
Hiroshi found that:
a) For vanilla ice cream
3/5 of his class prefers vanilla ice cream
3/5 to decimal = 0.6
b) For Chocolate ice cream
26% prefers chocolate ice cream
26% to decimal = 0.26
c) For strawberry ice cream
0.14 prefers strawberry ice cream
0.14 = 0.14
Arranging the numbers in order from least to greatest, we have :
0.14, 0.26 , 0.6
The kind of ice cream the least number of students prefer is Strawberry ice cream.
Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations
Step-by-step explanation:
multiplying the 2nd eqn by 9 we get,
9x+9y=81
then,subtracting 1st and 2nd eqn
9x+5y=41
9x+9y=81
- - -
__________
0. -4y=-40
we get y = 10
then we get x=9-y
x=9-10
x= -1
so x is -1 and y is 10
find the value of r so that the line through (8 r) and (4 5) has a slope of -4
Answer:
r = -11
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1) = slope
(5-r)/(4-8) = -4
(5-r)/ -4 = -4
5-r = 16
-r = 11
r = -11
im not sure but i beleive this is how you do it.
you find the agreegable slope, and then multiply it by the y value.
hope this helps! :)
The diameter of a circle is 8 cm. Find its circumference in terms of pi
Answer:
25.13 or 8 × pi
Step-by-step explanation:
diameter × pi = circumference
Answer:
8π
Step-by-step explanation:
formula for circumference of a circle=
C=2πr, r= radius
the radius is the diameter divided by 2
radius= 8/2=4
plug into formula
C=2π4
multiply 2 and 4
C=8π
What is the slope of the line through
(-9, 6) and (-6, -9)? Show your work.
Answer:
-5
Step-by-step explanation:
3x+1=6x-4 solve for x
Answer:
x = 5/3
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 Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
3x + 1 = 6x - 4
Step 2: Solve for x
Subtract 3x on both sides: 1 = 3x - 4Add 4 to both sides: 5 = 3xDivide 3 on both sides: 5/3 = xRewrite: x = 5/3Answer:
Exact form
x=5/3
Decimal form
x=1.6
Mixed number form
x= 1 2/3
Step-by-step explanation:
please give the right answer and help, i’ll give brainliest❤️
Answer:
3:4
Step-by-step explanation:
Answer:
9 to 8
Step-by-step explanation:
Answer plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
10+60t≤280
60t≤280-10
60t≤270
6t≤27
2t≤9
t≤9/2
t≤4.5
t=4 hours
first subtract $10 from$280 and you get $270
270 divided by 60 = 4.5
so the answer is four and a half hours
A bag has 5 balls: 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange
(0)
You randomly choose a ball. What is the sample space?
OA. (RG, Y, B, O)
OB. (R,G, Y, B, P)
Oc. (G, )
OD. (R, G, Y, B)
Answer: R,G,Y,B,O
Step-by-step explanation: Sample space is just any and all possible outcomes
The sample space of the given experiment is (R,G, Y, B, O). So option A is the correct one.
What is a Sample Space?A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.
The subset of the sample space are events.
Given experiment is that you randomly choose a ball from a bag which consists of 5 balls.
Balls are 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange (O).
Each ball is of different color.
When you randomly choose a ball, the chosen ball can be any of the colors given.
So sample space = (R,G, Y, B, O)
Hence the required sample space is (R,G, Y, B, O).
Learn more about Sample Space here :
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If x + y = –10 and x - y = 2, what is the value of x?
Answer:
y -10
x graph
Step-by-step explanation:
Please I need help
I will mark you brainliest
Answer:
60ft
Step-by-step explanation:
Using the formula shown a^2 + b^2 = c^2
5 ^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Take the square root of both sides:
C = 13
a college says it admits only people with sat scores among the top 10%. how high an sat score does it take to be g
Full question:
Suppose SAT scores among students are normally distributed with a mean of 500 and a standard deviation of 100.
If a college says it admits only people with sat scores among the top 10%. how high a sat score does it take to be eligible?
Answer and explanation:
To find where SAT score of student falls in the test given mean and standard deviation of scores, we can calculate: x-500/100 where x is number of SAT score of students
A sat score in the top 10% region would have a score better than 90% of other SAT scores. Therefore 0.90 has a z score of 1.28
We use algebra to find the score to be eligible thus:
1.28=x-500/100
x-500=128
x=128+500
x=628
Therefore to be eligible, a student needs to score at least 628, and be in the top 10% of scores
What is the answer to 7(5-8x) > 147
Answer: x < -2
Step-by-step explanation:
Find the shaded area
Help please
Answer:
Area= 49[tex]\pi[/tex] or 153.94 or 147 (Since Pi= 3)
Circumference= 14[tex]\pi[/tex] or 43.98 or 42 (Since Pi= 3)
Step-by-step explanation:
[tex]A=\pi rx^{2}[/tex]
[tex]C=2\pi r[/tex]
9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft
Answer:
56ft
Step-by-step explanation:
because 还是故事还是vs酒吧睡觉把书本上
Fractions closer to 1 than to 0
Answer:
Fractions that are above 1/2 or 0.5
Step-by-step explanation:
HURRY PLEASEEEEEEEEEEE. A coordinate plane. The point (5, 5) is in Quadrant . The point (3, –2) is in Quadrant . The point (–4, –4) is in Quadrant .
Answer:
point (5, 5) is in Quadrant: I (1)
point (3, –2) is in Quadrant: IV (4)
The point (–4, –4) is in Quadrant: III (3)
Step-by-step explanation:
Answer:
The point (5, 5) is in Quadrant
✔ I
II
III
IV
The point (3, –2) is in Quadrant
I
II
III
✔ IV
The point (–4, –4) is in Quadrant
I
II
✔ III
IV
Can someone help me?
Answer:
Step-by-step explanation:
Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.
A sporting goods store sells 7 cans of tennis balls for every 3 tennis rackets. How many cans of tennis balls would be sold if 63 tennis rackets were sold?
need asap
Answer:
7×63=441
Step-by-step explanation:
441 cans of tennis
find the perimeter of the square on the centimeter grid
Help please
I don't understand this at all i need the answer fast <3
Answer:
-2 < 6
4 > -8
Step-by-step explanation:
plz help me with this math problem
Answer:
[tex]a = 9in[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]
[tex]a = \sqrt{112.36 - 31.36} [/tex]
[tex]a = \sqrt{81} [/tex]
[tex]a = 9in[/tex]
A recipe calls for 2 cups of flour and 1 1/2 cup milk to make four servings. Ming has plenty of flour, but only 6 cups of milk. How many servings can he make?
creating a diagram so far this session a team has won 51 out of 68 games identify the value of a b c and d that complete the bar diagram for the situation
Answer:
a = 25
b = 100
c = 17
d = 68
Step-by-step explanation:
PLease do all this i will give brainiest
Answer:
The cost of 10 pens is $2.25.
You would have 30 hard boiled eggs.
You will need 18 hard boil eggs for 54 scrambled.
Step-by-step explanation:
what is the slope of the line?^
Answer:
(1/0) infinite slope if it is going wrong sorry
1 and -1 is nonlinear or linear
Answer:
liner
Step-by-step explanation:
they look like a line on a graph
It is now 13:29
There are 51 minutes left from the Chemistry lesson, followed by a 25-minute
break
When does the next lesson start after the break?
(0 O
14:20
sm
13:54
14:45
O
15:45