Calculate the size of all angles marked with variables in the following diagrams. give reasons
Answers
The angles are given below
What is an angle?
An angle is a symbol in Euclidean geometry created by two rays, called the flanks of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are placed in the plane having the rays. Angles are also generated when two planes overlap. These are termed as dihedral angles. An angle defined by two overlapping curves is the angle of both the rays falling tangent to the individual curves at their place of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius.
(a) angle a = 112° (alternate angles)
angle b = angle a = 112° (vertically opposite angles)
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Related Questions
The probabilities of randomly picking a green counter from three different bags are given below.
Order these bags from the lowest probability to the highest probability.
Answers
Answer:
Lowest to highest
7/10 , 11/15, 4/5
Step-by-step explanation:
Probably the easiest way to do this is to convert each of the fractions to decimals which will clearly indicate which is the highest and which the lowest etc.
4/5 = 0.80
11/15 = 0.73
7/10 = 0.7
0.7 is less than 0.73 is less than 0.80
So 7/10, 11/15, 4/5
However, I am assuming they want you to work with fractions
To compare fractions you have to get all the denominators equal and then compare the numerator
To get a common denominator find the Least Common Multiple of the denominators. This is the lowest number that can be divided by all three denominators
Looking at 5, 15 and 10 we can see that 30 is divisible by each denominator. So that becomes our common denominator
Now multiply each fraction denominator by a factor to make the denominator equal to the common denominator. At the same time multiply the numerator by the same factor
4/5 = (4 x 6) / (5 x 6) = 24/30 Highest
11/15 = (11 x 2) / (15 x 2) = 22/30
7/10 = (7 x 3) / (10 x 3) = 21/30 Lowest
Looking at the numerator alone we can see that 7/10 is the lowest, 11/15 is next lowest and 4/5 the highest
s=1/2pl+b solve for l
Answers
[tex]s=(\frac{1}{2} p)(l)[/tex]
Flip equation:
[tex]\frac{1}{2} lp=s[/tex]
Divide both sides by p/2:
[tex]\frac{1/2lp}{p/2} =\frac{s}{p/2}[/tex]
[tex]l=\frac{2s}{p}[/tex]
Find the surface area
Answers
well, from the picture, the cylinder has a diameter of 12, thus a radius of 6 and a height of 40, so
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=40 \end{cases}\implies SA=2\pi (6)(40+6) \\\\\\ SA=12\pi (46)\implies\implies SA=552\pi[/tex]
The temperature in Anchorage Alaska at 6am was -18 degrees. A scientist recorded the change in temperature over the next 5 hours. the increase and decreases in temperature can be presented as: -3 degrees, +7 degrees, +11 degrees, -5 degrees, +2 degrees. What was the temperature in Anchorage Alaska after 5 hours?
Answers
Answer: -6 degrees
Step-by-step explanation: First take -18 then subtract by 3, add 7, add 11, subtract 5, and finally add 2. All of those numbers come from the problem stated.
Which numbers are in order form least to greatest?
Answers
Answer:
B
Step-by-step explanation:
Name three different angles in the diagram.
Answers
<HMN, <HMK, <KMN
using the graph
g(n) = 2n
h(n)= n²-4
Find g(-9) + h(-9)
A) 4
C) 20
B) 59
D) 95
Answers
Answer:
g(-9)+h(-9)=59
the answer is B
the temperature in montreal was -15 degrees. in nyc the temperature was 11 degrees . how many degrees warmer was the temperature in nyc
Answers
Montreal = -15 degrees
NYC= 11 degrees
Then we must come up with an equation to figure out the difference (subtraction) between the two temps.
We use “X” because we don’t know the difference (answer) yet…
X-15=11
We are setting the equation equal to 11 because we are trying to figure out how much warmer NYC is compared to MONTREAL.
Then all we must do is solve for x.
Remember all variables must stay to one side and ANY number that switches sides between the equal sign (=) must switch their signs…
So… because -15 was negative (-) it changed to (+)… BUT if the 15 was positive (+) it WOULD change to negative (-).
Complete the following proof that states “The acute angles of a right triangle are complementary”
Given: △ABC and m
Prove:
Answers
The final statement that proves that “The acute angles of a right triangle are complementary” is when the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 35 degrees and 55 degrees are complementary angles.
What is the complete proof?Statements:
Given Triangle ABC [See attached]Angle C is a right angleAngle C = 90 degrees (This is because every right angle is 90°)A + B + C = 180 degrees (This is because the sum of the measures of the angles of a triangle is 180°)A + B + 90 = 180 (Justification: substitution from 3 above)A + B = 90 (Justification: Subtraction property of equality)A and B are complementary (Justification: Two angles whose sum is 90 degrees are complementary)QED
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Answer this please.
Solve the equation.
–2d = –11.18
A. 22.36
B. –9.18
C. –13.18
D. 5.59
Answers
Answer:
d =5.59
Step-by-step explanation:
Solve the equation.
–2d = –11.18
Divide each side by -2
–2d/-2 = –11.18/-2
d =5.59
Dionne has six steel balls of equal mass. If she puts five of them in one pan of a beam balance and one ball and a 100 g mass in the other pan, the pans balance each other. What is the mass of each steel ball?
PLEASE HELP
Answers
Answer:
25g
Step-by-step explanation:
If one ball + 100g = 5 balls, then 100g = 4 balls
100/4 = 25
work out (7.3 x 10^5) + (4x 10^5) in standard index form
Answers
The sum written in standard index form is 1.13*10^6
How to add numbers in scientific notation?
So here we want to add two numbers that are written in scientific notation, these are:
(7.3*10^5) + (4*10^5)
Now we can take the factor "10^5" as a common factor, so we can write:
(7.3*10^5) + (4*10^5) = (7.3 + 4)*10^5 = 11.3*10^5
Now we want to write this in standard index form (this is scientific notation), so we can have only one decimal on the left side of the decimal point, then we can write this as:
11.3*10^5 = 1.13*10^6
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Please answer the two questions ( Look at photo + will mark brainliest if correct )
1. x = ____
2. t = ___
Answers
Answer:
x=90*
Step-by-step explanation:
t=40
A veterinarian divided 1/2 of a bottle of medicine equally among some sick cats. She gave each cat 1/8 of a bottle of medicine. How many sick cats were there?
Answers
Answer:
4
Step-by-step explanation:
1/2 the bottle is equal to 4/8. giving 1/8 to each sick cat is 4
PLEASE HALP WHAT IS THIS
Answers
Answer:
See below
Step-by-step explanation:
Given expression
[tex](\cfrac{4^{-2}}{3^4*4^{-3}})^3[/tex]Simplify it as below:
[tex](\cfrac{4^{-2-(-3)}}{3^4})^3=[/tex] Negative exponent rule[tex](\cfrac{4^1{}}{3^4})^3=[/tex] Simplify[tex]\cfrac{4^3{}}{3^{4*3}}=[/tex] Power of power rule[tex]\cfrac{4^3{}}{3^{12}}=[/tex] Simplify, can be left as is[tex]\cfrac{64}{531441}[/tex] or calculatedyou play a game in which you must pick a real number x, between 0 and 924. at the same time, the number y is uniformly and randomly selected in the same range. if x is greater than y, then you have to pay the square of the difference between the two numbers. if y is greater than or equal to x, you pay double the difference.
Answers
Answer: about 2.2 times 8^8
Step-by-step explanation:
Pay the money x=y^2
A stack of recyclable newspaper 36 inches high will save one tree. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers. How many trees would be saved from a stack of newspapers 24 feet high?
Answers
The number of trees that would be saved from a stack of newspapers 24 feet high given the by ratio of trees saved from a stack of recyclable newspaper is 8 trees
How many trees would be saved from a stack of newspapers 24 feet high?Stack of recyclable newspaper that will save one tree = 36 inches highConvert feet to inches
1 feet = 12 inches24 feet = 288 inchesNumber of trees that would be saved from a stack of newspapers that is 24 feet high = xEquate the ratio of Stack of recyclable newspaper needed to save a tree to number of treesQuantity of recyclable newspaper needed : number of trees
36 : 1 = 288 : x
36/1 = 288/x
cross product36 × x = 1 × 288
36x = 288
divide both sides by 36x = 288 / 36
x = 8 trees
In conclusion, the trees that would be saved from a stack of newspapers 24 feet high is 8 trees
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Hanna wants to buy fruit snacks to share with four of her friends. how many snacks will each person get if she shares a bag of 120 fruit snacks equally?
Answers
Answer:
are u 6 it's 30 fruit snacks
Step-by-step explanation:
120÷4(she has more friends then u lol)=30
HELP HELP HELP PLEASE
What the answer to the question 1+1
Answers
Answer: 1+1=21
Step-by-step explanation:
It's just facts >:)
Answer:2
Step-by-step explanation:
Please help due tonight.
Answers
Answer:
y+1 = 5(x+2)
Step-by-step explanation:
Slope = 5 = (y - -1) /(x - -2)
So 5 = (y+1)/(x+2)
Meaning y+1 = 5(x+2)
16. If a = 5, b = 4, and c = 7, find the value for 3(b + a) - c.
O 20
O 15
O 34
O 10
Answers
20
Explanation:
substitute the value
3(4+5)-7
3(9)-7 add 4 and 5 first
27-7 multiply 3 by 9
20 subtract
Evaluate the expression if
m
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4
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n
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1
,
p
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2
,
q
=
−
6
,
r
=
5
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and
t
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.
|
16
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3
q
+
p
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Answers
The numeric value of the expression 16 + 4(3q + p) when q = 6 and p = 2 is given by: 96.
How to find the numeric value of a function or of an expression?To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. This also works for multi-variable functions or expressions, as each instance of each variable will be replaced by their attributed values.
For this problem, the expression is given by:
16 + 4(3q + p)
The attributed values are given by:
q = 6, p = 2.
Hence the numeric value of the expression is found as follows:
16 + 4(3 x 6 + 2) = 16 + 4(18 + 2) = 16 + 4 x 20 = 16 + 80 = 96.
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6(x + 1) - 5(x + 2) simplify
Answers
Answer:x - 4
Step-by-step explanation:6x + 6 - 5x - 10 = x-4
two cards are selected without replacement from a standard deck of 52 cards. what is the probability that both cards are the same color (either both black or both red)? round to three decimal places.
Answers
The probability of getting both the card with same color is 0.245
Total No. of cards in a deck = 52
The cards having the same color (either black or red ) = 26 out of 52
which is 26/52
The probability of finding a card having the same color without a replacement
P = 26/52 x 25/51
[∵ After taking one card, the total no . of cards will be 51 and the card having the same color is 25]
= 1/2 x 25/51
= 0.5 x 0.49
P = 0.245098
Therefore, the probability that both cards are the same color is 0.245098
We need to round off it to three decimals, Thus
The probability that both cards are the same color is 0.245
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Kyle played four rounds of golf. His scores were
72, 75, 68, and 84. If he would like an exact mean
of 74 for five rounds, what must he score on the
next round?
71
72
73
74
Answers
Answer:
71
Step-by-step explanation:
Mean is Average
You can Find the Mean of a set of numbers by adding them all up and then dividing that number by the amount of numbers in the set.
72 + 75 + 68 + 84 = 231
231 / 4 = 57.75
This is his current mean.
Let's add his next score.
72 + 75 + 68 + 84 + 71 = 370
Divide by 5 instead of 4 because we added another number to the data set.
370 / 5 = 74
Evaluate b(x)=18-0.5x
b(-2)=
b(0)=
b(5)=
Answers
Answer:
b(-2)=19
b(0)=18
b(5)=15.5
Step-by-step explanation:
You substitute all x values with the number stated in each question.
Example= b(-2) --> 18-0.5(-2)
question is in picture
Answers
The correct option is (D) △ABC and △FED are not similar because the corresponding sides of the triangles are not in proportion.
What is the congruency of triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.So, the two given triangles are:
△ABC and △DEF with no sides identical to the other.
Then, we can conclude that no congruency condition with a side statement is true.So, options (A) is (C) are incorrect.
∠B and ∠E do not seem to be identical.So, option (B) is also incorrect.
Since no sides are identical to each other then we can say that the given two triangles are not congruent when concluding that the answer to this problem is an option (D).
Therefore, the correct option is (D) △ABC and △FED are not similar because the corresponding sides of the triangles are not in proportion.
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........................................
Answers
Answer:
0
Step-by-step explanation:
You inputted nothing.
Find the sum of the AP: 2,7,12 to 10 terms.
Answers
Answer:
Clearly, the given sequence is an AP with first term a=2, common difference d=5 and n=10.
Now,
s10 = 10/2 (2a + 10-1d)
=5(2x2+9x5)
=245
Step-by-step explanation:
Answer:
S₁₀ = 245
Step-by-step explanation:
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 2 and d = a₂ - a₁ = 7 - 2 = 5 , then
S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ]
= 5(4 + 45)
= 5 × 49
= 245
What is the amplitude of y = 6 tan(7x) − 2 ?
Answers
Answer:
i made the link for the website i used so u can use in in simlar situations
Step-by-step explanation:
Solve for
y
.
y
=
6
√
tan
(
7
x
)
−
2
y
=
−
6
√
tan
(
7
x
)
−
2
its math w a yyyy .com