Hey there!
To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)
A=2B-15 (one angle is 15 degrees less than twice the other)
A+B=180
We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.
Let's solve with substitution!
2B-15+B=180
3B-15=180 We combine our Bs.
3B=195 We add 15 to both sides.
B= 65 We divide both sides by three.
Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.
180-65=115
Our two angles are 65° and 115°.
We can also check this with the original problem.
If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!
I hope this helps! Have a great day!
Pls help I will really appreciate it
Answer:
Side KL.
Step-by-step explanation:
Side KL will have a negative slope due to the reflection of side 1 , then the 90 degree clockwise rotation will will take it down towards the x axis and it will then have a positive slope,
how many pounds fit into one ton
Answer:
2000
Step-by-step explanation:
there are 2000 pounds in a ton
Maria bought a bag of flour so that she can make muffins it has a mass of 2.26 kg Shanice 450 g of flour to make one batch of muffins how many kilograms of flour will remain after Maria make slime
Answer:
10 grams or 0.010kg
Step-by-step explanation:
The mass of the bag used to make flour is 2.26 kg = 2260 grams
Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.
Therefore: [tex]\frac{2260}{450} = 5.02[/tex]
We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.
Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.
Note: 2260 -2250 = 10 grams.
Subtract, in order to find how many you have left.
Hope this helps.
After making one batch of muffins, Maria will have 1.8 kg of flour remain.
What is 1 kg when it is converted into grams?
1 kg will be 1000 grams when converted.
Given,
Maria bought 2.26 kg of flour = 2260 grams of flour.
To make 1 batch of muffins, Maria needs 450 grams of flour.
Therefore, the flour Maria has after making one batch of muffin = (2260 - 450) grams = 1810 grams.
Learn more about the conversion of kg to gram here: https://brainly.com/question/18811876
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WILL GIVE BRAINLIEST HURRY!
I your answer (the selected one) is correct
Answer:
Its a bell chart because the chart rapidly increases up from the right and decreases normally from the left like a normal graph. This graph has a normal distribution
Step-by-step explanation:
Solve C = 2Pi r for r .
A. r = Cpi/ 2
B. r = 2C/ pi
C. r = C/ 2pi
D. r = 2pi r
Answer:
D
Step-by-step explanation:
Given
C = 2πr ( isolate r by dividing both sides by 2π )
[tex]\frac{C}{2\pi }[/tex] = r → D
find the diagonal length of this figure
Answer:
the answer is,
11.18mm
by pythagoras theorem, you'll get base diagonal as 10mm, therefore the diagonal*marked red is 11.18mm.
Answer:
[tex]5\sqrt{5} \:mm[/tex]
or
11.18 mm
Step-by-step explanation:
length of diagonal
[tex]=\sqrt{l^{2} +w^{2}+h^{2} } \\=\sqrt{8^{2} +6^{2}+5^{2} } \\=\sqrt{64 +36+25 } \\=\sqrt{125 } \\=5\sqrt{5} \: mm\\=11.18 mm[/tex]
Anyone know this one? please help! thank you
Answer:
24%
Step-by-step explanation:
You first add the boys because you know you only look at the boys not the girls. You get the answer 233. Then you divide the number of boys who chose Niagra Falls which is 56 over 233. You will get a decimal. You then multiply the decimal by 100 to get your answer. The answer would be 24.0343348% which would round to 24%.
What’s the value of x in a triangle x top right 45 top left 98 bottom
Answer:
The value of x is 37°.
Step-by-step explanation:
Given that the total angles in a triangle is 180°. In order to find the x value, you have to substract 98° and 45° from 180° :
[tex]x + 98 + 45 = 180[/tex]
[tex]x = 180 - 98 - 45[/tex]
[tex]x = 37[/tex]
Answer: 37
Step-by-step explanation:
If you add in all numbers inside the triangle, it should be equal to 180 degrees meaning x + 98 + 45 = 180.
To solve the unknown, we must first add in the numbers:
x + 143 = 180
To get the variable by itself, we must subtract 143 to both sides which gives us 37 degrees.
Now that we know that x is equal to 37, we should make sure it is the right answer, to do that, we need to replace x with 37:
37 + 98 + 45 = 180
By adding in all the numbers, we should get 180.
What equation is represented in the graph?
a) y= x^2+1
b) y= x^2-1
c) y= 2x+1
d) y= |x| +1
Answer:
D
Step-by-step explanation:
The parent graph of the one shown is the absolute value, since in the first quartile it is the line y=x and in the second quartile it is a reflection across the x axis. But since it is risen one unit, the new equation is y=|x|+1, or choice D. Hope this helps!
PLZ HELP ME HURRY I NEED THE ANSWER ASAP!!!!!!!!
Answer:
The answer is D
Answer:
d
Step-by-step explanation:
For a 11 1/5 mile trail ride, trail markers will be set up every 1/10 mile. How many markers are needed. Show work.
Answer:
112
Step-by-step explanation:
11 1/5 divied by 1/10
What is the maximum of the following set of data?
1.2, 1.3, 1.2, 1.5, 1.6, 1.1, 1.0
Answer:
1.6
Step-by-step explanation:
The maximum is the greatest number
Answer:
1.6
Step-by-step explanation:
How to find the missing side of this triangle
Answer
3√21 cm
I hope it helps
The following function is continuous at all points in the domain of real numbers. What is the value of n?
f(x)= 2x+2, if x > n
4x, if x [tex]\leq[/tex] n
A. -1
B. 0
C. 1/2
D.1
Answer:
D. 1Step-by-step explanation:
To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.
Let's solve the following expression [tex]f(x)=g(x)[/tex], where [tex]f(x) =2x+2[/tex] and [tex]g(x)=4x[/tex]. So,
[tex]2x+2=4x\\2=4x-2x\\2x=2\\x=1[/tex]
Which means [tex]n=1[/tex], that is, if the n is greater than 1, then the function is defined by [tex]f(x)[/tex], if the n is least or equal than 1, then the functioni is defined by [tex]g(x)[/tex]
Therefore, the right answer is D.
Answer:
1. A, -1
2. D, 1
3. B, It is discontinuous because there is a value a for which f(a) is not defined 4. D, It is discontinuous because there is a value a such that lim f(x) does not exist
Answer the question attached:
Simplify: (x − 7)(6x − 3) A. 6x2 + 21 B. 6x2 + 39x − 21 C. 7x2 − 10 D. 6x2 − 45x + 21
Answer:
6x2−45x+21 D.
Step-by-step explanation:
(x+−7)(6x+−3)
=(x)(6x)+(x)(−3)+(−7)(6x)+(−7)(−3)
=6x^2−3x−42x+21
=6x^2−45x+21
pls mark me brainliest
Answer:
6x^2 -45x +21
Step-by-step explanation:
(x − 7)(6x − 3)
FOIL
first; x*6x = 6x^2
outer: -3x
inner: -7*6x = -42x
last: -3*-7 = 21
Add them together
6x^2 -3x-42x +21
Combine like terms
6x^2 -45x +21
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are state quarters. Based on this sample, how many of the quarters in the full bag were likely to be eagle quarters? 400 200 100 300
Answer:
400
Step-by-step explanation:
The number of eagle quarters likely to be in the bag is 200.
Option B is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of quarters = 500
Out of the 10 quarters.
Eagle quarters = 4
This means,
Percentage of eagle quarters,
= 4/10 x 100
= 40%
Now,
40% of 500 quarters.
= 40/100 x 500
= 200
Thus,
The full bag is likely to have 200 eagle quarters.
Learn more about percentages here:
https://brainly.com/question/11403063
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Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Which equation can be used to solve for c?
sin(50o) = StartFraction 3 Over c EndFraction
sin(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction 3 Over c EndFraction
Answer:
sin(50deg) = 3/c
Step-by-step explanation:
Applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.
Trigonometry RatiosTo solve a right triangle, any of the ratios, SOH CAH TOA, can be applied.
Thus, given right triangle ABC, where:
angle ACB = right angleangle CBA (∅) = 50 degrees (reference angle)AC = 3 m (opposite)AB (c) = hypotenuse = ?Apply SOH:
sin ∅ = opp/hyp
Substitutesin (50°) = 3/c
Therefore, applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.
Learn more about trigonometry ratio on:
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can you put 150 177 205 163 172 190 186 168 155 in order
Mark wants to calculate the circumference of a circle with a radius of 7 centimeter. Which expression represents the circumference of the circle?
2 x 3.5 x π
2 x 14 x π
72 x π
14 x π
Answer:
14 x π
Step-by-step explanation:
The circumference of a circle is 2πr
Here, r is 7.
2 x 7 x π
=> 14π
Which expression best estimates
Answer:
Step-by-step explanation:
-18 1/4 rounds down to -18 and 2 2/3 rounds up to 3. Then -18/3 = -6
7 ∙ 15 can be written as _____.
5(7 + 10)
10(7 + 5)
7(10 + 5)
Answer:
7(10+5)
Step-by-step explanation:
5(17)
10(12)
7(15)
Answer:
The answer would be 7(10+5)
Step-by-step explanation:
7(10) + 7(5)
70 35
105
Have a good day!!
Two way tables compare and contrast how many categories: answer options listed in pic! pls help worth 20 points!!!!
Answer:
A two way table compares and contrast 2 categories.
Answer: the answer is 2
Step-by-step explanation:
Write the following as an equivalent product of conjugates:
(a) x^2 - 16
(b) 16x^2 - 49
(c) x^4 - 36
if u answer this ty
Answer:
Answers are below
Step-by-step explanation:
(a) (x+4)(x−4) Factor the given expression
(b) (4x+7)(4x−7) Factor the given expression
(c) (x²+6)(x²−6) Factor the given expression
If these answers are correct, please make me Brainliest!
Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms
From the given polynomial , the sum is [tex]4n^4-6n^3+7n^2-9[/tex]
It is a 4th degree polynomial with 4 terms
Given :
The polynomial sum is
[tex]3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)[/tex]
Distribute 3n^2 inside the parenthesis
[tex]15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9[/tex]
From the above polynomial , the highest exponent is 4
The degree of the polynomial is 4
Total we have 4 terms in the polynomial
So the final polynomial is
4th degree polynomial with 4 terms
Learn more : brainly.com/question/10024410
Answer:
A: 4th degree polynomial with 4 terms
Step-by-step explanation:
Answer this question right with an explanation and I will mark you brainliest
Answer:
8 oz.
Step-by-step explanation:
I say this because, initial value means the value at the start. The candle starts at 8 oz. therefore it is the initial value. The reason it is the weight and not the time is because the weight is the dependent variable.
Please help me find the properties of a square
Answer:
1)all the sides of the square are equal
2)all the angles in a square are 90°
3)diagonals are perpendicular to each other
4)diagonals are in equal length
I know this properties only
I hope it was helpful to u
Answer:
x=2
Step-by-step explanation:
Since all sides of the square are equal, hence here GD=FG
so,
8x = x+14
8x-x = 14
7x = 14
Dividing both sides by 7
x=2
Need help with maths
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2t+8= -10 answer for t
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
you subtract 8 from both sides the -10 then becomes -18 then you divide it by 2
Solve for X 2( 5.5x+1) =24
)
Answer:
x=2
Step-by-step explanation:
11x+2=24
11x=22
22/11=2
x=2