Explanation:
First add up the scores: 75+70+80+80+85+90 = 480
Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
[tex]\bold{7y+21}[/tex]
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of collection?
Answer:
25% increase in records
Step-by-step explanation:
25% = 1/4
1/4 of 12 = 3
she got 3 new records, therefore a 25% increase
Find the perimeter. Simplify your answer.
7y+10+7y+10+y-4
14y+20+y-4
15y+20-4
15y+16
answer= 15y+16
Answer:
7y+10+7y+10+y-4=
(7y+7y+y)+(10+10-4)=
15y+16=
what part of 3 dollars are 25 nickels
Answer:
25 nickles are 5/12ths of a dollar
Step-by-step explanation:
25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12
The 25 nickels are the 5/12 part of the 3 dollars.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We know that 1 nickel = 0.05 dollars.
Then the number of dollars in 25 nickels will be given as,
⇒ 25 x 0.05
⇒ $1.25
Divide the number 1.25 by 3. Then we have
⇒ 1.25 / 3
⇒ 5 / 12
The 25 nickels are the 5/12 part of the 3 dollars.
More about the Algebra link is given below.
https://brainly.com/question/953809
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7.4x10^7 in standard form
Answer: 740000000
Step-by-step explanation:
Answer:
0.000074
7.4×10−5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4×10−5=0.000074
1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary.
Answer: $627.93
Step-by-step explanation:
If tax is 6.25%
6.25% of $590.99= $36.94
Price + tax = total cost
Total cost = $590.99 + $36.94 = $627.93
what is the answer??????
Step-by-step explanation:
Take lcm of 6,8,10 = 120
40 + 60 + 60/ 120
= > 160/ 120
= > 4/3 = 4 (1/3)
PLEASE HELP ME OUT!!!
Convert the following
0.005 kg = _____ dag
0.075 m = ______ cm
Answer: 0.5 dag and 7.5 cm
Step-by-step explanation:
1 Decagram (dag) =10^-2 kg
We can change this into a conversion factor by dividing either side into the other. Since we want to change Kg into dag, I'll divide both sides by 10^-2kg:
1 Decagram (dag)/10^-2 kg = 1
Now we can multiply this times 0.005 kg:
(0.005 kg)*(1 Decagram (dag)/10^-2 kg)
this equals 0.5 dag
------------
100 cm = 1 meter
(100 cm/1 meter): Conversion factor
(0.075 m)*((100 cm/1 meter) = 7.5 cm
Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
What is the degree of angle o?
Show work
Identify next three numbers in this sequence: 2, 8, 4, 16, 12
Answer:
2, 8, 4, 16, 12, 30, 26, 50
Step-by-step explanation:
The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).
[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]
How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.
Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.
Then for each odd position number in the sequence it's representation is of the form:
[tex]a_{n-1} + 6x = a_n[/tex]
Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]
So the rest of the sequence is of the next form:
[tex]12 + 6(3) = 30[/tex]
[tex]30 -4 = 26[/tex]
[tex]26 + 6(4) = 50[/tex]
So the final answer is [tex]\{30, 26, 50\}[/tex]
Slope of a line pls answer
Answer:
[tex]m = - \frac{1}{2}[/tex]
Step-by-step explanation:
hope this helps!
3 of 5 people were eligible to vote 180 citizens actually voted
what is the weight of a square if a triangle weighs 4 grams
Answer:
8 grams
Step-by-step explanation:
Given the formula for area of a triangle versus a square:
Square = bh
Triangle = 1/2bh
A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.
4 * 2 = 8
ne ajudemmmm pfvvv ...
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
In the equation y=14x what is the constant of proportionality.
write an Algebraic expression for 3 times X squared minus 4 times X
Answer:
3x2 - 4x
Step-by-step explanation:
this is the algebric expression
What is 16 1/2 as an improper fraction.
Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $33, before discount and tax. After the discount, and before tax, the price is $30.69. Find the percent discount.
Will mark BRAINLIEST I Promise.
Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
what does x equal in 150 = -6(x)^2 + 100x -180
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x
=
25
+
√
130
3
,
25
−
√
130
3
Decimal Form:
x
=
12.13391808
…
,
4.53274858
…
Step-by-step explanation:
Answer:
x=\frac{25-\sqrt{130}}{3}
Step-by-step explanation:
x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}
x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}
x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}
x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?
Answer:
the answer is 3
Step-by-step explanation:
5 x - 3 + x + 9 =24
6X + 6 = 24
6X =18
×=3
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).
Answer:
can u say what subject is that
(0, 1) is a local maxima and (π, −1) is a local minima of the given function.
The given function is f(x)=cos(x).
What is a function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (π/2 +πn,0), for any integer n
y-intercept(s): (0,1)
Use the derivative to find the maximum and minimum.
(0, 1) is a local maxima and (π, −1) is a local minima
Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.
To learn more about the function visit:
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Find the value of m when 0.21: 6.3= 0.06: m
Answer:
1.8
Step-by-step explanation:
0.21 : 6.3 = 0.06 : m
=> 0.21/6.3 = 0.06/m
=> m = 0.06 x 6.3 / 0.21
m = 1.8
Hope this helps!!
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
8+w/4 when w is 16
plz answer it for me plzzz
Answer:
8+w/4 Putting w = 168+16/4(32+16)/4= 48/4= 12Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
the rate of change is _____ inches of growth per week
Answer:
4.5 inches per week
Step-by-step explanation:
Easy conversions
Please help
2x−9≥17
Ancwers:
x≤3
x≤13
x≥3
x≥13