Hey there!
Supplementary angles always equal 180° when combined. We have our ratio which is 4:2. When we combine them, we have six. This is on a different scale than 180, so we need to divide 180 by six to see how much bigger we need to make our ratio so we can find the angles.
180/6=30
As we can see, our parts of the ratio are 1/30 the size of our actual angle. To find our angles now, we multiply each number by 30.
4(30):2(30)=120:60
As you can see, if we add 120 and 60, it equals 80, and if you simplify the ratio it is still 4:2.
Your angles are 120° and 60°.
I hope this helps!
The measure of the two angles is 120 and 60 degrees if the angles are in the ratio of 4:2.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
The measure of two supplementary angles are in the ratio 4:2.
From the question:
4x + 2x = 180
6x = 180/6
x = 30
The first angle = 4x = 4(30) = 120 degrees
The second angle = 2(30) = 60 degrees
Thus, the measure of the two angles is 120 and 60 degrees if the angles are in the ratio of 4:2.
Learn more about the angle here:
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Which best completes the following sentence? triangles are congruent if they have the same
Answer:
c. angle measures and side lengths
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
size and shape
Step-by-step explanation:
APEX
The area of a parallelogram is given by the formula A = bh . The area of the parallelogram on the right is 85 sq. units . Find its base and height
Answer:
Where's the image
Step-by-step explanation:
Answer:
Equal to
Step-by-step explanation:
I just did the question and I got it right
Help please..........
Please someone help me
Answer:
4.03 cm
Step-by-step explanation:
1) 7² + 4² = C²
2) 49 + 16 = C²
3) [tex]\sqrt{65}[/tex] = C
4) 8.06 = C
5) [tex]\frac{8.06}{2}[/tex] = 4.03
Please mark me as brainliest....it would mean a lot
See below to answer my question on the Pythagorean theorem.
An ice chest contains 7 cans of apple juice, 8 cans of grape juice, 5 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and
randomly select three cans in succession. Find the probability of selecting three cans of orange juice.
Answer:
Im pretty sure its an 8% the total percent is 8.6% chance.
Step-by-step explanation:
The teams ratio of games won to games played was 5 to 6 If. The team played 36 games, how many games did the team fail to win
Answer:The team failed to win 6 games.
Step-by-step explanation: 5/6 has to be equal to something over 36. Since you multiplied the denominator by 6 you have to multiply the numerator by 6 and 5*6 equals 30. If out of 36 games they won 30. Then to find how many games they lost all that you have to do is subtract 36 and 30 to get 6.
Does anyone know what I am missing to get the final mark? Any ideas would be much appreciated :)
Answer: Isosceles
Step-by-step explanation:
Given: AB || DE , BC is a transversal
∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°
∠DCA, ∠ACB, & ∠BCA are supplementary --> ∠ACB = 50°
By the Triangle Sum Theorem, ∠A+∠B+∠C = 180° --> ∠CAB = 50°
Triangle is isosceles because ∠A ≅ ∠C
Find the volume of the triangular prism described below.
The base is a 45°-45°-90° triangle with a leg of 4 in. The height is 1.7 in.
A 45-45-90 triangle has two legs that are the same length. So both legs are 4 in.
Area of the triangle = 1/2 x 4x4 = 8 square in.
Volume = 8 x 1.7 = 13.6 cubic inches.
Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}, y = {0, 2, 5, 8, 12, 13, 17, 19}, and Z = {z|z is an even integer less than 19}. Find X ∩ Y ∩ Z.
A. {2, 4, 6, 8}
B. {all whole number < 20}
C. {2, 8}
D. {2, 4, 6}
Need help with this pls!!
Show work pls!!
Answer:
Jerzy is 10 which Roger is 16
Step-by-step explanation:
R is Roger, J is Jerzy.
R= 6+J
R+5+J+5=36
6+J+5+J+5=36
2J+16=36
2J=20
J=10
R=16
Answer:
Jerzy is 10 which Roger is 16
Step-by-step explanation:done it before!
If Sam earns 15% commision on each sale, what is his commision on a 5,000 sale?
please show work/explain
Answer:
750
Step-by-step explanation:
To find the commission, take the sale price and multiply by the commission rate
5000 * 15%
Change to decimal form
5000 * .15
750
What is the perimeter of a triangle with vertices located at (-1,4), (2,7), and
(1,5), rounded to the nearest hundredth?
A. 7.89 units
B. 9.24 units
C. 8.71 units
D. 7.63 units
Answer:
the correct answer is C. 8.71
4 of 8
Here is a list of numbers:
17,6,-10,-7, -12,-12, -2, 16, -14
State the median.
Put the numbers from least to greatest.
17, 6, -10, -7, -12, -12, -2, 16, -14 → -14, -12, -12, -10, -7, -2, 6, 16, 17
The median is the middle number of a data set.
-14, -12, -12, -10, -7, -2, 6, 16, 17
Therefore, the median is -7.
Best of Luck!
The quadrilaterals are similar.
If CB = 6, GF = 3, and CD = 4, find GH.
A) 2
B) 3
C) 8
D) 10
Answer:
a
Step-by-step explanation:
CB and GF are the same side and u can see that CB is two times larger than GF so GH is two times smaller then CD
The solution is, the value of GH = 2, option A.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
If CB = 6, GF = 3, and CD = 4,
and, we have to find GH.
from the given figures we get,
CB and GF are the same side and u can see that CB is two times larger than GF so GH is two times smaller then CD.
i.e. CB/GF = 6/3 = 2
scale factor = 2.
again, CD/GH = 2
So, GH = CD/2
=2
Hence, The solution is, the value of GH = 2.
To learn more on scale factor click:
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Find the value of Y.
Please do not answer unless you know the answer
Answer:
66
Step-by-step explanation:
Answer:
y=66
Step-by-step explanation:
Start with the angle that has the purple arrow pointing to it. Next to it, part of the right angle is 27 degrees so you subtract that from 90 degrees, which makes you get 63 degrees. The measurement of all a triangle's angles is 180 degrees, so you add 63 and 51 to get 114, then subtract 114 from 180 to get 66 degrees.
Hope this helps!
write one half as a number 10pts plz help
Answer:
1/2 is in a fraction and as a decimal would be 0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
One-half (or one divided by two) is 5 tenths. (0.5)
[tex]\frac{1}{2} = 0.5[/tex]
0.5 should be your answer.
Brainilest Appreciated.
Which best describes the strength of the model?
Answer:
Where is the picture or anything so we could answer?
Step-by-step explanation:
Answer:
Depends witch model of something your talking about
Step-by-step explanation:
Urgent Help Please High Reward!
Answer:
n =7
Step-by-step explanation:
(n+1) +1 + (n-1) = value first row
3+ (2n-9) +n = value second row
The value has to be the same
Set the equations equal
(n+1) +1 + (n-1) =3+ (2n-9) +n
Combine like terms
2n+1 = 3n-6
Subtract 2n from each side
2n+1-1 -2n = 3n-6-2n
1 = n-6
Add 6 to each side
1+6 = n-6+6
7 = n
Answer:
n =7
Step-by-step explanation:
An equation is given.
A=4π r^2
Solve the equation for r .
A) r=4πA/2
B) r=A/2π
C) r=√A/4π
D) r=√4π/A
Answer:
Hello There. The correct answer to this is B. Because it shows that A = 4pr2 We need divide each term of 4pr2 = A r2 A-4p Then we need to do is Take the square root of both sides of the equation to eliminate the exponent on the left side. r = + A-4p Then completed of the solution is the result of both the positive and negative portions of the solution.
Hope It Helps! Good Luck.
ItsNobody
Someone please help me on this
Answer:
what is that
Step-by-step explanation:
A standard television has a width-to-height aspect ratio of 4:3. How many cm is the
diagonal of a standard television screen that is 49.8 cm tall?
Answer:
Diagonal of television = 83 cm
Step-by-step explanation:
Width of television = 4x
height of television = 3x
Height of television = 49.8 cm
[tex] \therefore \: 3x = 49.8 \\ x = \frac{49.8}{3} \\ x = 16.6 \: cm \\ 4x = 4 \times 16.6 = 66.4 \: cm \\ \\ diagonal \: of \: television \\ = \sqrt{ {(66.4)}^{2} + (49.8)^{2} } \\ = \sqrt{ 4,408.96 + 2,480.04 } \\ = \sqrt{6,889} \\ = 83 \: cm \\ [/tex]
What is the volume of a hemisphere with a diameter of 51.8 inches rounded to the nearest 10th of a cubic inch?
Answer:
volume of a hemisphere ≈ 36369.5 in³
Step-by-step explanation:
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= [tex]\frac{4}{3}[/tex]πr³ ÷ 2
=[tex]\frac{2}{3}[/tex] πr³
where r is the radius
from the question given, diameter = 51.8 inches
but diameter = 2r , this implies that r = [tex]\frac{d}{2}[/tex] hence r = [tex]\frac{51.8}{2}[/tex] = 25.9 inches
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
volume of a hemisphere =[tex]\frac{2}{3}[/tex] πr³
=[tex]\frac{2}{3}[/tex] × 3.14 ×25.9³
=[tex]\frac{2}{3}[/tex] × 3.14×17373.979
≈36369.5 in³ to the nearest tenth cubic inch.
volume of a hemisphere ≈ 36369.5 in³
Answer:
36388.0 in3
Step-by-step explanation:
I just did it and I got it right
Which expression has a positive quotient
Answer:
the first one
Step-by-step explanation:
a negative times or divided by another negative gives you a positive
a positive times or divide by a negative gives you a negative
a positive times or divide by a positive gives you a positive
Answer:
A
Step-by-step explanation:
Two Negatives make a positive
In a high-school, 135 freshmen were interviewed.
Thirty-five of them took PE, 42 took BIO, 60 took ENG, 10 took PE and BIO, 15 took PE and ENG, 7 took BIO and ENG, and 5 took all three subjects.
e
What is the probability that a randomly-chosen student from this group did not take exactly two subjects?
Answer:
[tex]\dfrac{118}{135}[/tex]
Step-by-step explanation:
Total Number of Students =135
Number who took all three subjects=5
Number who took PE and BIO=10
Number who took PE and ENG=15
Number who took BIO and ENG=7
Therefore:
Number who took PE and BIO only=10-5=5Number who took PE and ENG only=15-5=10Number who took BIO and ENG only =7 -5=2Total Number of students who took exactly two subjects=5+10+2=17
Therefore:
Number of students who did not take exactly two subjects=135-17=118
The probability that a randomly-chosen student from this group did not take exactly two subjects
[tex]=\dfrac{\text{Number of students who did not take exactly two subjects}}{\text{Total Number of students }} \\=\dfrac{118}{135}[/tex]
I will mark as brainliest but I need the answer for these 2 questions
1.6
2.24
Step-by-step explanation:
1.it's the same distance from the middle
2.64-12=52
76-52=24
Use the Algebra Tiles to construct the algebraic expression for this situation:
The amount of money Ted gets for selling any number of pies for $5 each.
These are the tiles that can be used:
1, x, x², -1, -x, -x²
Ethane (C2H6) is one of many compounds that burns in oxygen to form carbon dioxide and water, as represented by the equation.
2C2H6 + 7O2 → 4CO2 + 6H2O
Which substance is a product in this reaction?
carbon (C)
oxygen (O2)
water (H2O)
ethane (C2H6)
Answer:
Water (H2O)
Step-by-step explanation:
When hydrocarbons undergo combustion reactions (I.e reactions with oxygen) carbon (iv) oxide and water are usually produced.
In this case, the only difference is the numbe of moles between the product and reactant
Equation of reaction;
2C₂H₆ + 7O₂ → 4CO₂ + 6H₂O
Reactants:
1. Ethane = C₂H₆
2. Oxygen = O₂
Product:
1. Carbon(iv) oxide = CO₂
2. Water = H₂O
Answer:
H20
Step-by-step explanation:
In slime we trust
1. solve the following quadratic equation by factoring. Show all work and check your answer.
x^2 + 3x – 4 = 0
Answer:
x = -4, x = 1
Step-by-step explanation:
x^2 + 3x - 4 = 0
4 and -1 add to 3 and multiply to -4.
(x+4)(x-1) = 0
Separate these by the Zero Product Property.
x+4 = 0
x-1 = 0
Solve.
x = -4
x = 1
What is the domain of the square root function graphed below?
Answer:
x>_ 3
...................
The domain is the set of all allowed x values of a relation or function.
The smallest x can be is x = 3. This is the x coordinate of the left most point on the blue curve. Since x can be 3 or larger, we say,
domain: [tex]x \ge 3[/tex]Answer: choice D