Hello! We can prove this with some statements, look:
• Notice that CD is parallel to AB;
,• angle 1 ≅ angle 2
,• M is the midpoint of AB;
Statement 1:
[tex]\hat{\text{AMC}}\cong\hat{\text{BMD}}[/tex]Reasoning 1:
As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.
definition of midpoint
Statement 2:
[tex]\hat{C}=\hat{D}[/tex]Reasoning 2:
As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:
angle C:
90º + angle 1
angle D:
90º + angle 2
so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.
Statement 3:
[tex]\hat{MAC}\text{ = }\hat{\text{MBD}}[/tex]Reasoning 3:
The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:
m1 + A + C = m2 + B + D = 180º
remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.
According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.
Table:
right answer gets brainlist pls help asap
Answer:
6 units
Step-by-step explanation:
count the units between the two points
-5< x < 5Graph the solution set on a number line
- 5 < x < 5
Number line:
can you please answer work the math problem the easiest quick way please
Given: the three points are plotted on graph.
For the first point it is observed that,
For the x =3/2 the value is y=6/2
For second point ,
For x= 9/2 the y value is y=12/2
For the third point ,
For x= 15/2 the y value is y=18/2
According to obtained information it matched to option J)
Answer: Option J)
G(x)=|x-2|
How do u solve this?
Given the polynomial f(x)=x⁴+3x³-3x²-x, which of the following is true?
a) (x+1) is a factor since f(-1)=0.
b) (x-1) is a factor since f(-1)=0.
c) (x+1) is a factor since f(1)=0.
d) (x-1) is a factor since f(1)=0.
f (x)=(x-3)^2 + 4 when is f increasing
Answer:
(3,∞)
Explanation:
Given the function:
[tex]f(x)=\mleft(x-3\mright)^2+4[/tex]The graph of f(x) is attached below:
The interval when f(x) is increasing is therefore: (3,∞)
1. -V64Name the set or sets or numbers to which each real number belongs?
1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number
Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= blank feet
Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet
What scale did Paula use?The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.
The scale can therefore be shown by the ratio:
56 feet : 84 inches
If the number of inches is 3 then the number of feet in the scale would be:
56 feet : 84 inches
x feet : 3 inches
Cross-multiplying gives:
84x = 168
x = 168 / 84
x = 2 feet
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What is x in this equation -7(x+-2)=-63
which of the following best describes XWO A. Angle bisectorB. MedianC. AltitudeD. Perpendicular bisector15W15Z
INFORMATION:
We have the next triangle
And we must select the answer that best describes XW segment
STEP BY STEP EXPLANATION:
We can see that XW segment divides the YZ side into two equal parts, which measure 15 units. And we can also see that the XW segment starts in one of the vertex of the triangles and goes to the opposite side.
Then, we can analyze the definition for the median of a triangle
Finally, if we compare, we can see that the definition of median describes the XW segment.
ANSWER:
B. Median.
an environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. is it sufficient for him to use a simple random sample of 172172 cars if hybrids currently account for 6%6% of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
It is enough for him to use a simple random sample of 172 cars.
It is required that there are at least 10 successes and 10 failures to test a hypothesis that involves a proportion p in a sample of size n.
Following conditions are required for it:
1) np ≥ 10
2) n (1-p) ≥ 10
p = 6% = 0.06
n = 172
np = 172x0.06 = 10.322 ≥ 10172 (1-0.06) = 161.68 ≥ 10So, there are at least 10 successes and 10 failures in the 172 cars sample, it is enough for him to use a simple random sample of 172 cars.
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Simplify: 15.4 + 3.02
Answer:
18.42
Explanation:
15+3=18
0.4+0.02=0.42
18+0.42=18.42
A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in thistable. b. Does the equation A=1/2*r* C describe the relationships in the table? Explain your reasoning.YesNor (cm) C (cm) A (cm)42550
Equation:
A =1/2 * r * C
Replace with the values from the table and check the equation:
First row:
50 = 1/2*4*25
50= 50 TRUE
Second row:
78.5= 1/2*5*31.5
78.5= 78.75 FALSE
Since one equality is false, the equation Doesn't describe the relationship-
Answer : NO
You had $30 yesterday. You spent 20% of it today. How much money do you have left?
ANSWER
$24
EXPLANATION
You had $30 yesterday and you spent 20% of it today.
Since you spent 20% of it, the percentage you will have left is:
100 - 20 = 80%
So, you have 80% of $30.
That is:
[tex]\frac{80}{100}\cdot\text{ 30 = \$24}[/tex]You have $24 left.
15. Name the indicated parts of this diagram.AC __________________AE __________________DE __________________AB __________________ADE __________________________ACE = _______°CAB = _______°
SOLUTION:
We want to name the indicated parts on the diagram, their names are;
For the angles, we have;
[tex]\begin{gathered} \measuredangle ADE=22^o\text{ }(Inscribed\text{ }Angle) \\ \measuredangle ACE=44^o\text{ }(Central\text{ }Angle) \\ \measuredangle CAB=90^o\text{ }(Angle\text{ }between\text{ }radius\text{ }and\text{ }tangent) \end{gathered}[/tex]A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours What distance would it cover in 2 hours?
Answer:
120
2 1/2 hours is 150 minutes and your covers 150 miles in 150 minutes, so remove 30 minutes because 1/2 an hour is 30 minutes and remove 30 miles because you're going of time because 1 minute = 1 mile
Use the Product Property for Exponents: thoroughly explain why x · x = x^2.
1) We need to consider that whenever we have a variable its exponent is raised to the 1st power, even when we don't write it as a superscript.
2) So we can write out the following steps to get that product as x²:
[tex]\begin{gathered} x=x^1 \\ x^1\cdot x^1=x^{1+1}=x^2 \end{gathered}[/tex]That's why we can write that, applying the property of exponents.
Round 34,582 to the nearest thousand.
Answer:
35000
Step-by-step explanation:
So the number is 34582
now look at the hundreds
if it is 5 or over then we add a thousand to and subtract what ever the lower than thosand
and in this case it is 5 so we round UP
and now we have 35000
The answer is 35,000.
To round to the nearest thousand, we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
Since in this case the last three digit consists of 582 which is greater than 500 so we round the thousands digit up i.e. from 4 to 5 in this case.
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1.5 x 10 9
8.9 x 10 7
Someone pls quickly answer these.
1. In the graph below, point D is reflected across the y-axis. What are the coordinates of its
image?
2
(3,-1)
(3, 1)
(-3,-1)
(-3, 1)
Answer:
3
Step-by-step explanation:
1. Seafood plays an important part of our daily nutrition. Mr. Beeg ate 1/6 of the fish for breakfast and 2/5 of the fish over lunch. What fraction of the fish has he already consumed?
expression: ___________
solution: ___________
final answer: ___________
2. Tita Flan planted trees around the barangay mini garden. She covered 2/3 of the garden on the 1st day, 1/5 of the garden on the 2nd day. How much of the garden is left for her to completely cover the mini park with trees?
expression: ___________
solution: ___________
final answer: ___________
3. Oil and Gas is one of the major causes of Global warming. Last 2020, it was estimated to 2/5 of depletion of the ozone layer. Projections revealed that by the year 2050, its effect will have increased three times. How much has oil and gas affected the ozone layer in the projection?
expression: ___________
solution: ___________
final answer: ___________
4. Mr. Bredwyn splits his monthly salary to family expenses. Half of it goes to savings and the other half is allocated to bills payment. 1/10 to water bill, 1/6 to electricity, 2/15 to Internet, and 3/5 to House Rental. What fraction of his total salary is allotted to House Rental?
expression: ___________
solution: ___________
final answer: ___________
Improper/random answer = Report!
Correct and complete answer = heart/brainly!
1. The fraction of the fish has he already consumed is 17/30.
2. The fraction of the garden is left for her to completely cover is 2/15.
3. The oil and gas that affected the ozone layer in the projection is 1 1/5.
4. The fraction of his total salary is allotted to House Rental is 3/10.
How to calculate the fraction?1. Mr. Beeg ate 1/6 of the fish for breakfast and 2/5 of the fish over lunch. The fraction already consumed will be:
= 1/6 + 2/5
= 5/30 + 12/30
= 17/30
2. Tita Flan covered 2/3 of the garden on the 1st day, 1/5 of the garden on the 2nd day. the fraction of the garden is left for her to completely cover the mini park with trees will be:
= 1 - (1/5 + 2/3)
= 1 - 13/15
= 2/15
3. It estimated to 2/5 of depletion of the ozone layer and projections revealed that by the year 2050, its effect will have increased three times. This will be:
= 2/5 × 3
= 6/5
= 1 1/5
4. The fraction of his total salary is allotted to House Rental will be:
= House rental / 2
= 3/5 / 2
= 3/10
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2. The height (cm) of a plant during a period can be described with a function where time is 24 hours after planting. y=3+34x
How tall is the plant after 4 days?
What does the value y=3 mean?
Here given ,
y = 3 + 34x
We have to find height of plant after 4 days,
so, x = 4,
by substituting x,
y = 3 + 34 x 4
= 3 + 136
= 139 cm
here y = 3 means,
The corresponding function when the value of y =3 .
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If a and b are two events defined on the same sample space, given that p(a) = 0.28 and p(aub) = 0.51, find the p(b) such that a and b are mutually exclusive
P(B) such that a and b are mutually exclusive is 0.23
A group of potential results from a specific experiment is an event. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events.
Given: P(A) =0.28
P(AUB) = 0.51
We know,
P(AUB) = P(A) + P(B) - P(A∩B)
Since A and B are mutually exclusive events, they cannot happen together.
So, P(A∩B) = 0
Then,
P(AUB) = P(A) + P(B)
0.51 = 0.28+ P(B)
P(B) = 0.51 - 0.28 = 0.23.
Hence, P(B) = 0.23
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The Mendez Family consists of two adults and two children. Their current monthly income is $4800. Calculate the percentage of the total budget for each category.
Percentage spent on transportation is 12%
Percentage spent on Property tax is 11%
Percentage spent on utilities is 9%
Percentage spent on food is 20%
Percentage spent on mortgage payment is 30%
Percentage spent on entertainment is 8%
Percentage spent on miscellaneous is 10%
What are the percentages?
Percentage is the fraction of a number expressed as a number out of 100. In order to convert a number of fraction to percentage, multiiply by 100. The sign that is used to represent percentage is %.
Percentage spent on transportation = (576 / 4800) x 100 = 12%
Percentage spent on Property tax = (528 / 4800) x 100 = 11%
Percentage spent on utilities = (432 / 4800) x 100 = 9%
Percentage spent on food = (960 / 4800) x 100 = 20%
Percentage spent on mortgage payment = (1440 / 4800) x 100 = 30%
Percentage spent on entertainment = (384 / 4800) x 100 = 8%
Percentage spent on miscellaneous = (480 / 4800) x 100 = 10%
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make k the subject
2A= πK^2 +3t
Answer:
k = ± [tex]\sqrt{\frac{2A-3t\p}{\pi } }[/tex]
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
[tex]\frac{2A-3t}{\pi }[/tex] = k² ( take square root of both sides )
± [tex]\sqrt{\frac{2A-3t}{\pi } }[/tex] = k
The diagram shows a quadrilateral ABCD with each of its sides extended.
AB = AD
Show that ABCD is a kite. Give a reason for each stage of your working
(The diagram is attached)
Thanks, by neve124
It is to be noted that by the proof given below, the attached shape ABCD is a kite.
What is a kite in Euclidean Geometry?A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equivalent angles and two pairs of adjacent equal-length sides as a result of its symmetry.
The proof is as follows:
AB = AD [Given]
∠ADC = 115° [Angles on a Straight line]
That is 180 - 65 = 115°
∠BCD = 20° [Vertical Angles are equal]
∠ABC = (360 - (20+115+110))
= 115° [Angles in a quadrilateral]
Hence,
ABCD = Kite [Definition of a Geometric Kit]
That is
It two equivalent angles (∠ABC and ∠ADC)It also has two pairs of adjacent equal-length sides (that is |AD| ≈ |AB|.QED
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Help please i need it for a grade
Answer:
(3,13 ) & (-1,5)
Step-by-step explanation:
a. 2x + 7 = x^2 + 4
b. move all terms to the left side and set equal to zero. then set each factor equal to zero. which gives you the x values 3, -1
c. substitute x with the x values to get y. 2(3) + 7 = -1^2 + 4
d. the solution is (3,13 ) & (-1,5)
if one shirt costs £13,how many can I buy with £419?
Answer:
32 shirts
Step-by-step explanation:
419÷13
=32.230
Answer:
32
Step-by-step explanation:
419 divided by 13
= 32.230
HElP ME Please!!!!!!!! I need help
Answer:
b x 8 = 40 and 40 / 8 =b
Step-by-step explanation:
well, 8 charms makes one bracelet, so add up 8 until you run out of charms:
8 8 + 8 = 16 16 + 8 = 24 24 + 8 = 32 32 + 8 = 40We only have 40 charms, so we can make 5 bracelets!
Now, plug this number (5) back into the equations:
b x 8 = 40
(5) x 8 = 40
40 = 40
this checks out!
40 - 8 = b
40 - 8 = (5)
32 = 5
32 does not equal 5, so this equation doesn't work.
40 / 8 = b
40 / 8 = (5)
5 = 5
This equation works :)
b + 8 = 40
(5) + 8 = 40
13 = 40
13 does not equal 40, so this is also a bad equation..
since b x 8 = 40 and 40 / 8 = b both produced the right results, we know those two are our answers!