Answers
Answer:
D
Step-by-step explanation:
The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same flat/straight line and that makes a pair.
Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.
So, the correct answer would be D.
The true statement about an exterior angle of a triangle is C; It forms a linear pair with one of the interiior angles of the triangle .
What is the Exterior Angle of a Triangle Property?An exterior angle of a triangle is equal to the sum of the opposite interior angles.
We know that the exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.
The pair also rests on the same straight line and that makes a pairs.
Therefore we can say that it is formed by a linear pair with one of the interior angles of the triangle.
So, the correct answer would be C.
Learn more about exterior angles;
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Related Questions
What is the value of x?
7
7 square root 2
14
14 square root 2
Answers
Answer:
14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14
Answer:
x = 14i hope it helps :)Step-by-step explanation:
[tex]Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14[/tex]
Need help please! Oh and the options are
A. 2/3
B. 1/5
C. 4/15
D. 2/7
Answers
Answer:
C. 4/15There are 15 spaces in total with 4 shaded columnsStep-by-step explanation:
Answer:
Hey there!
The answer would be C. 4/15.
4/5(1/3)=4/15
Let me know if this helps :)
Please Answer THIS QUESTION ASAP ty!! First 2 answer right is BRAINLESS
Answers
Hi there! :)
Answer:
[tex]\huge\boxed{A = 119.44 cm^{2} }[/tex]
To find the area of the shaded region, we will need to find the areas of both the rectangle and the circle:
Rectangle: A = l × w
A = 11 × 12
A = 132 cm²
Circle: A = πr² (Let π = 3.14)
A = π(2)²
A = 4π
A ≈12.56 cm²
Subtract the area of the circle from the area of the rectangle:
132 - 12.56 = 119.44 cm².
Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).
Answers
Answer:
[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Step-by-step explanation:
Given that [tex]\triangle KJL[/tex] is a right angled triangle.
[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]
and
[tex]\angle KJL = 90^\circ[/tex]
Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°)
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:
[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)
By (1) and (2):
sin(38°) [tex]\neq[/tex] cos(38°).
[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)
Comparing equations (1) and (3):
we get the both are same.
[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]
Answer:
B in EDG
Step-by-step explanation:
What is the volume of this figure?
Answers
Step-by-step explanation:
3 x 3 x 3 = 27
2 x 2 x 2 = 8
6 x 10 x 2 = 120
27+8+120=155m³
A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
PLZ help i will give brainly to whoever wants it.
Answers
Answer:
30
Step-by-step explanation:
45+45 = 90
150-90 = 60
60/2 = 30
I think...
also being timed help!
Answers
Answer: 4
Step-by-step explanation:
suppose you are mixing red and blue paint in a bucket. do you think the final color of the mixed paint will be the same whether you add the blue or the red paint first?relate your answer to a property of real numbers
Answers
Answer:
It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.
Pls mark it Brainliest!!!
Elena drank 3 liters of water yesterday. Jada drank 3⁄4 times as much water as Elena. Lin drank twice as much water as Jada. Did Lin drink more or less water than Elena? Group of answer choices
Answers
Answer:
Lin drank more water
Step-by-step explanation:
Given
Elena = 3 litres
Jada = ¾ of Elena
Lin = 2 times of Jada
Required
Determine if Lin drank more or less water than Elena
First, we have to get the actual amount of water Jada drank.
Jada = ¾ of Elena
Substitute 3 litres of Elena
[tex]Jada = \¾ * 3 litres[/tex]
[tex]Jada = 9/4 litres[/tex]
[tex]Jada = 2\¼\ litres[/tex]
Lin = 2 * Jada
Substitute 2¼ litres for Jada
[tex]Lin = 2 * 2\¼\ litres[/tex]
[tex]Lin = 2 * 9/4 litres[/tex]
[tex]Lin = 9/2 litres[/tex]
[tex]Lin = 4\frac{1}{2} litres[/tex]
Recall that Elena drank 3 litres
Comparing 3 Litres to [tex]4\frac{1}{2}[/tex] litres, we can conclude that Lin drank more water.
Find the sum of 5m + 2n, n - 3m, and 7 - 3n
Answers
Answer:
5m + 2n + (n - 3m) + (7 - 3n) = 5m - 3m + 2n + n - 3n + 7 = 2m + 7
Step-by-step explanation:
Answer
36x287x855y46
Step-by-step explanation:
hmmmm
The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exchange rate is €1 = $1.635. Calculate the number of euros they change. [3] b. The family spend 15% of their New Zealand dollars on a tour. Calculate the number of dollars they have left. [4]
Answers
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros
[tex]\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}[/tex]
b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = -294.30
Balance remaining = $1667.70
Algebra 1 need help ASAP
Answers
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
One day Shahed was playing with numbers. He wrote 15 fractions using all natural numbers from 1 to 30 exactly once- either as numerator or denominator. How many of these fractions, at most, are integers?
Answers
Answer:
30 i think because he has done numbers from 1 -30, which are all integers except for decimals...
A line is defined by the equation 2 x + y = 4. Which shows the graph of this line? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 4). On a coordinate plane, a line goes through points (0, 1) and (2, 5). On a coordinate plane, a line goes through points (0, 4) and (2, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 0).
Answers
Answer:
its c
Step-by-step explanation:
im pretty sure lmk if i am wrong :)
The graph of the given line 2 x + y = 4 is a straight line and the coordinates present above the line will be ( 0, 4) and ( 2, 0) hence option (C) will be correct.
What is a line?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in bdirections.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
A coordinate that is present in the line will always satisfy the equation of the line.
In the given option the coordinate (0, 4) and (2, 0) is satisfying the given eqution by substituting the value 2 x + y = 4 hence option (C) will correct.
For more about line segment
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A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is
spun once, what is the theoretical probability of the spinner NOT stopping on
red?
P(Not red) =
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.
Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].
Hope this helped!
The graph showing here is the graph of which of the following rational functions?
Answers
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.
Which expression is NOT equivalent to 4×38? A. 4×(3×18) B.(4×3)×18 C. (4×18)×3 D. (4×3)×(4×18)
Answers
Answer:
Every choice is not equivalent to 4✖️38.
Step-by-step explanation:
4✖️38=152
A. 54✖️4=216
B. 12✖️18=216
C. 72✖️3=216
D. 12✖️72=864
Every choice is not equivalent to 4✖️38.
[tex]( - 72) \div ( + 9) + (16) \div ( - 4)[/tex]
could you help.....
Answers
Answer:
-12
Step-by-step explanation:
Use PEMDAS,
doing the division first, then addition to simplify the terms
(-72)/(+9) + 16/(-4)
(-72/9) + (16/-4)
-8+(-4) = -12
Answer:
-12
Step-by-step explanation:
((-72)÷(9))+((16):(4))
= (-8)+(-4)
= -12
How do I do this? I’m completely lost!!!
Answers
Answer:
f(5)=5²-2(5)
=25-10
=15
replace the x with five
Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.
Answers
Answer:
$8Step-by-step explanation:
Let the regular price is x, then:
(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8PLEASE HELP
Simplify by combining like terms.
2/3b - 2 3/4b =??
Answers
Step-by-step explanation:
the Anwer is 2-6b(3/4b) / 3b
Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b
= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b
= [tex]\frac{8-33}{12}[/tex] b
= -[tex]\frac{25}{12}[/tex] b
= -2[tex]\frac{1}{12}[/tex] b
Help me, please
I really need
Answers
Answer:
answrr
yes ok
Step-by-step explanation:
4+4-4#_44
In a group of 60 numbers, average of
the first 35 numbers is 18, that of next
15 numbers is 10 and that of the
remaining is 30. What is the average
of the entire group of numbers?
a)
16
b)
17
c)
18
d)
19
Answers
Answer:
c. 18
Step-by-step explanation:
First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.
35*18=630
15*10=150
Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left
10*30=300
630+150+300=1080
1080/60=18
Hence, the answer is C(18)
D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?
Answers
Answer:
20 will fly in the missing side.
Step-by-step explanation:
This is a 90^o angle.
heres the formula for side c:
a^2 + b^2 = c^2
So,
12^2 + 16^2 = c^2
144 + 256 = c^2
square root of 400 = c
c = 20
So, 20 will fly in the missing gap of the V formation.
image is calculator.
Check all that apply
Answers
Answer:
all of them are REAL numbers
1. is also RATIONAL
2. is also IRRATIONAL
3. is also IRRATIONAL
4. is also NATURAL, WHOLE, INTEGER and RATIONAL
5. is also INTEGER and RATIONAL
6. incorrect, because integer is just the whole numbers extended by their additive counterparts (the negative natural numbers). in other words, their absolute values are whole numbers. 5.5 as well as -5.5 are not fitting that criteria.
7. incorrect, because this pattern does not fit the definition of a radical number, where the number eventually begins to repeat the same finite sequence of digits over and over. in this example the pattern is not based on a finite sequence of digits.
amusement park is 1.50$ for children and $4 for adults. on certain day 220 people entered the park, and the admission fee collected totalled 630.00. how many children and how many adults were admitted? write and use an equation to solve
Answers
230.000 childrenㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
230 children
Step-by-step explanation:
Please help for 14 point 5 stars and 1 thanks! :]
Answers
Answer:
x=22000 ( bonds)
Step-by-step explanation:
total money invested=26000 , x for bonds and y stocks
x+y=26000 ⇒ x=26000-y
0.05 x + 0.08 y=1420 solve by substitute : x=26000-y
0.05(26000-y)+0.08 y =1420
1300-0.05y+0.08y=1420
0.03y=1420-1300
y=120/0.03
y= 4000 ( the amount invested in stocks)
the amount invested in bonds x= 26000-4000
x=22000 ( bonds)
check :
0.05(22000)+0.08(4000)= 1420 correct
What is the (10) for?
Answers
Answer:
2(10) is implied multiplication
Step-by-step explanation:
( 18+2) + 2(10) ÷4 -2
PEMDAS
Parentheses first
( 20) + 2(10) ÷4 -2
Then exponents ( we have none)
Then multiply and divide from left to right
20 + 20÷4 -2
20 + 5-2
Then add and subtract from left to right
25 -2
23
2(10) is implied multiplication
Answer:
23
Step-by-step equation
(18+2)+2(10)÷4-2
20+20÷4-2
20+5-2
25-2
23
Hello can you help me work this out ty
Answers
Answer:
x=8
Step-by-step explanation:
You need to isolate the variable.
6x+7=55
Subtract 7 from both side.
6x=48
Divide both sides by 6.
x=8
I hope this helps!
pls ❤ and give brainliest pls
Answer:
x=8
Step-by-step explanation:
For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7 55-7 =48 so now you have 6x=48 you need to isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.
can anyone help me please ?
Answers
Basically, everything except choice A.
=========================================================
Explanation:
All exponential functions can be written into the form y = a*b^x
The b term determines if we have growth or decay.
If 0 < b < 1, then we have decay. If b > 1, then we have growth.
------------
For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.
Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.
Choice C has b = 1/3 = 0.33 approximately which is also decay.
Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.
Choices B through D have b values such that 0 < b < 1.
------------
Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.
I used GeoGebra to make the graph.