Bài 2: Cho ∆ABC có AB AC = , M là trung điểm của BC . Trên tia đối của tia MA lấy điểm D sao cho MA = MD .
a) Chứng minh : ∆ ABM =∆ DCM .
b) AB // DC
c) AM ⊥ MC
d) Tìm điều kiện ∆ABC để góc ADC =30 °
Answers
Related Questions
Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.
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Answer:
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Find the measures of the indicated angle
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Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
On a map, 1 in represents 420 miles. How much does 3/4 in represent?
Answers
Answer:
315
Step-by-step explanation:
420 x 3/4 = 315
Answer:
315 miles
Step-by-step explanation:
We can write a ratio to solve
1 inch 3/4 inches
------------ = ---------------
420 miles x miles
Using cross products
1 * x = 420 * 3/4
x=315
For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)
Answers
Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22
The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.
Answers
Answer:
2nd option
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
19 - 11 < x < 19 + 11
8 < x < 30
Answer:
8 < x < 30
Step-by-step explanation:
The rule for side lengths of a triangle is:
the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :
19 - 11 < x < 19 + 11
8 < x < 30
PLEASE ANSWER ASAP
Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3
Answers
Answer:
The inequality is -3<x<3
Step-by-step explanation:
(-3,3)
P(x) = x^4 – 2x^3 – 3x^2 + 4
What is the remainder when P(x) is divided by (x – 3)?
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Answer:
4
Step-by-step explanation:
:)
HELP ME PLS ITS PYTHAGOREAN THEOREM
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Answer:
a= [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
a^2+9^2=10^2
a^2+81=100
a^2=19
a=[tex]\sqrt{19}[/tex]
Answer:
b = 4.4 meters
Pls what is the formula for finding the base and the height of a triangular pyramid.
Answers
Answer:
Take the Cubits and multiply
Step-by-step explanation:
This is a problem i had so just fill it in to your numbers etc.
A= 43.3 cubits squared
SA= the base of A +1/2 (p x slant h)
SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)
To sum it up u can message me ur numbers and ill help
help mee pls plss fast
Answers
Difference between a 1 inch button and ⅜ inch button
[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]
Answer:
5/8
Step-by-step explanation:
To determine the difference, we do:
1 - 3/8
8/8 - 3/8
5/8
A 1 inch button is 5/8 inches longer than a 3/8 inch button.
Place parentheses in the following equation to make it true.
6+6/6x6-6= 0
Answers
Answer: (6+6/6)*(6-6)= 0
A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answers
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both
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Answer:
I know this problem is an
✔ equation
because it has an equals sign.
The t is the
✔ variable
.
The negative sign is the
✔ operation
.
The 7 and the 8 are both
✔ constants
.
Step-by-step explanation: i took the test :( crying cuz im bouta fail
Please help me: -3/4(8h + 12) = 3(n - 3)
Answers
Answer:
n = 0
Step-by-step explanation:
[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]
Answer:
n = 0
Step-by-step explanation:
-3/4(8h + 12) = 3(n - 3)
-6h - 9 = 3n - 9
-6h - 3n = -9 + 9
-9n = 0
n = 0
Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
simple : when we have a point defined as (1, 4), it means x = 1, y = 4.
and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.
but there will be usually many other pairs that do that too.
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
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Answer:
Step-by-step explanation:
The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the T test output :
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Given that population mean, μ = 6
Confidence level, α = 0.05
The hypothesis :
H0 : μ = 6.00
H1 : μ < 6.00
From the t test output given :
The test statistic :
T = -3.033077
T = - 3.03 (2 decimal places)
The Pvalue :
P = 0.002025
Pvalue = 0.002 (3 decimal places)
The conclusion :
Decision region ; Reject H0 : if Pvalue < α
Since ; Pvalue < α
Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.
Jeff and his friends win a prize.
Jeff's share is $160 which is ĭ of the prize.
Work out the value of the prize.
Answers
Answer:
Prize, P = $352
Step-by-step explanation:
Let Jeff's share be J.Let the value of the prize be P.Given the following data;
J = $160J = 5P/11To find the value of the prize;
[tex] \frac {5}{11} * P = 160 [/tex]
[tex] \frac {5P}{11} = 160 [/tex]
Cross-multiplying, we have;
[tex] 5P = 160 * 11 [/tex]
[tex] 5P = 1760 [/tex]
[tex] P = \frac {1760}{5} [/tex]
Prize, P = $352
The diagonals of a rhombus are perpendicular
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Answer:
true
Step-by-step explanation:
Which are the solutions of x2 = –13x – 4?
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Answer:
The 3rd dot and 4th dot, you should select to get the correct answer.
For each question circle the best choice.
Which of the following is an algebraic expression?
x + 5 = 7
5 - 2x = 3
5x + 4- 2x
-2 = 3x +1
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5x+4-2x là biểu thức đại số
GIVING BRAINLIEST TO CORRECT ANSWERS
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Answer:
b is the correct answer
Step-by-step explanation:
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
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Give an example of when you would encounter different types of fractions in the
real world.
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Step-by-step explanation:
when I had to share a bar of chocolate with 3 of my cousins....... the bar had a size of 18 cm and there were 3 of us so we divided it by 3 (18÷3) and ended up with 6, so 6cm/cousin..... ..
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answers
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2
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Answer:
the required answer is 4√2+1/2√2
Rewrite the expression with rational exponents as a radical expression.
4 times x to the three sevenths power
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Answer:
[tex]\displaystyle 4\sqrt[7]{x^3}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 4x^\bigg{\frac{3}{7}}[/tex]
Step 2: Rewrite
Split: [tex]\displaystyle 4(x^\bigg{\frac{1}{7}})^3[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle 4\sqrt[7]{x^3}[/tex]Graph the circle defined by the equation (x + 7)2 + (y – 5)2 = 4.
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the center is (-7,5) and the radius is 2
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
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numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Evaluate f(x) when x = 3.
Answers
Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
