Answer:
∠y = 62.5°
∠x = 27.5°
Step-by-step explanation:
z is right angle. ∠z = 90°
∠x = ∠y - 35
∠x + ∠y + ∠z = 180 {Angle sum property of triangle}
y - 35 + y + 90 = 180
y + y - 35 + 90 = 180 {Combine like terms}
2y + 55 = 180
2y = 180 -55 {Subtract 55 from both sides}
2y = 125 {Divide both sides by 2}
y = 125 /2
∠y = 62.5°
∠x = 62.5 - 35 = 27.5°
Two glasses of milk and 3 snack bars have a total of 62 carbohydrates, and 3 glasses of milk and 2 snack bars have a total of 58 carbs. Determine how many carbs are in one glass of milk in one snack bar.
Step-by-step explanation:
So looking at this question, we have two variables (1 - a glass of milk; 2 - a snack bar) and two equations to use to solve for the two variables. Remember that for any number of variables, you need that same number or more equations to solve for the variables.
Let's say that a glass of milk is represented by g and a snack bar is represented by s.
So we essentially have two equations here:
4 glasses of milk + 3 snack bars = 88 carbs, or:
4g + 3s = 88
2 glasses of milk + 4 snack bars = 74 carbs, or:
2g + 4s = 74
Now that we have this, we can solve for our equations. There are two ways to do this:
SUBSTITUTION - solve for one variable, then substitute it in
Let's solve for g using the second equation. First, we'll isolate g by subtracting 4s from both sides.
2g = 74 - 4s
Next, we can divide the whole equation by 2 to solve for g.
g = 37 - 2s
Now, we can substitute this into the first equation for g and solve for s.
4g + 3s = 88
4(37 - 2s) + 3s = 88
148 - 8s + 3s = 88
148 - 5s = 88 (now subtract 88 from both sides and add 5s to both sides)
60 = 5s
s = 12
Now we can use this to solve for g in the original equation
g = 37 - 2s
g = 37 - 2(12) = 37 - 24 = 13
ELIMINATION - eliminate one variable to solve for the other, then use that to solve for the first
Let's look at our two equations
4g + 3s = 88
2g + 4s = 74
Let's eliminate the variable g first by multiplying the second question by -2.
4g + 3s = 88
-4g - 8s = -148
If we add these two equations together, we get
-5s = -60
Divide both sides by -5 and we get
s = 12
Now, we can plug s into either equation to solve for g as we did above.
-3 =
-11
What is the missing value
Answer:
-3-8=-11
Step-by-step explanation:
The missing value is -8 because if you add is to -3 then you will get -11 and -11 = -11
2. Find the area of the regular polygon.
*HINT* - You must solve for the side of the octagon before you can find the area of the figure.
a. What is the Perimeter of the figure?
b. What is the area of the figure?
Answer:
a. 80 units
b. 482.843 units²
Step-by-step explanation:
First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.
12² + b² = 13²
144 + b² = 169
b² = 25
b = 5
Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.
a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)
10 × 8 = 80
b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:
2(1 + radical 2)(10)² = 482.843
NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer: 60 is the answer.
Step-by-step explanation: We can use the total sum, 180.
To get the missing angle, add the 2 angles, 60 and 60.
60 + 60 = 120.
Then subtract from 180.
180 - 120 = 60.
Hence, 60 is the answer.
Let me know if you have any questions.
~ Lily, from Brainly.
Note to asker: Write this down!
To find 1 missing angle:
A1 + A2 = TA - 180 = X (A1 = Angle1)
the sum of two numbers is 38 and their difference is 10 find the numbers
Answer:
I believe the two numbers are 14 and 24
Answer:
Those numbers are 14 and 24.
Step-by-step explanation:
You can solve this pretty quickly by taking those two facts and combining them:
a + b = 38
a - b = 10
Let's solve the second one for a:
a = 10 + b
Now we can substitute that into the first one:
a + b = 38
(10 + b) + b = 38
2b + 10 = 38
2b = 28
b = 14
To find a, we can plug that back into one of the original equations:
a + b = 38
a + 14 = 38
a = 24
We can also test our answer by plugging the results into the other given equation and see if we get the same value:
a - b = 10
24 - 14 = 10
10 = 10
So we know our answer is correct.
Wayne invested $3000 per year compounded differently. How much will it be worth after 3years
Answer: wouldn’t it be $9,000? Or $12,000?
Step-by-step explanation:
James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet has a greater perimeter than a 45-45-90 triangle with a hypotenuse of 10 feet. Martha disagrees. Who is correct?
Answer:
Step-by-step explanation:
Disclaimer it is up the student to verify all the geometry algabra and mathematical formulas and calculation .
cosФ = opp/hyp sinФ = adj/hyp hyp = 10 perimeter = a + b + c
for the 45° right triangle
a = b so 2a² = hyp² perimeter 45 = a + a + hyp
P45 = 2a + hyp a = sin(45) (hyp) = [1/2√2)] (hyp) sin(45) = (√2)/2
P45 = 2([1/2√2)] (hyp) + hyp
P45 = hyp (√2 + 1)
for the 30° right triangle
a = hyp×sin(30) b = hyp×cos(30) perimeter 30 = a + b + hyp
sin(30) = 1/2 cos(30) = (√3)/2
a = hyp(1/2) b = hyp(1/2)(√3)
P30 = a + b + hyp
= hyp(1/2) + hyp(1/2)(√3) + hyp
= hyp[ 1/2 + (1/2)√3 + 1]
= hyp[ 1/2 + (1/2)√3 + 1] factored out the hyp
= (1/2)hyp[ 1 + √3 + 2] factored out a 1/2
P30 = (1/2)hyp[ 3 + √3]
which is greater P45 or P30? vso I set both perimeters equal to each other
P45 vs P30
hyp (√2 + 1) = (1/2)hyp[ 3 + √3] the hyp cancel
(√2 + 1) = (1/2)[ 3 + √3] still tough to tell needed
1.414 + 1 = (1/2)[ 3 + 1.732] to go to the calsulator
2.414 vs 1/2( 4.732)
2.414 > 2.366 thus P45 > P30 < ----- Final Answer
Disclaimer it is up the student to verify all the geometry algabra and mathematical calculation.
Answer:
what he said
Step-by-step explanation:
Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad. If each serving contains the same amount of fruit, how much fruit is in each serving?
Factorise fully the following:
x^2+ x
Answer:
x(x+1)
Step-by-step explanation:
Which of the following is the closest to the length of side AC?
Answer:
d
Step-by-step explanation:
Is a cellular phone 120 kilograms or 120 grams?
Answer:
120 grams because 120 kilograms is a lot
:)
which sequence shows the number in order from least to greatest?
please help
Simplify this expression. 3-³
Answer:
-27 is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
PLEASE HELP ME!!
write three to the power of two sevenths in radical form and explain?
Answer:
4782969
Step-by-step explanation:
Answer:
[tex]\sqrt[7]{3^{2}}[/tex]
Step-by-step explanation:
[tex]3^{2/7}[/tex]
^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.
If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.
In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.
So by pointing these out, a fraction power = the power / the root.
If that makes sense.
So, with this in mind, let's look at what we have again.
[tex]3^{2/7}[/tex]
So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.
So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].
And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].
But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]
Answer: [tex]\sqrt[7]{3^{2}}[/tex]
So there it is! I hope that helped you!!
The circumference of a circle is 6.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answer: 2.04
Step-by-step explanation:
Katie is 44 years younger than Sylvia. Let kk represent Katie's age, and let ss represent Sylvia's age. Part A Using the variables defined above, write an equation that shows the relationship between Katie's age and Sylvia's age. Part B Use the equation from Part A to find how old Sylvia is when Katie is 13 years old. years old.
B
5
E
If G is the midpoint of AB, classify each triangle by its
ANGLES and SIDES.
A. ACFE
B. ABEC
C. ABFG
D. AGAF
Answer:
ΔCFE is a right triangle
ΔBEC is an acute triangle
ΔBFG is an equilateral triangle
ΔGAF is an obtuse isosceles triangle
What is the domain of the above function?
Can somebody help me with this question.
The square table has side lengths of 4 feet. What is the length of the diagonal?
Solve for x
4x = 51
1. x = 204
2. x = 47
3. x = 12.75
Answer:
#. x=12.75
Step-by-step explanation:
51/4
Find the length of the third side. If necessary, round to the nearest tenth 24 30
Answer: 18
Step-by-step explanation:
NEEEEEEED HEEEEEEEELP !!!!!!!!!!!!!!!!! 13 POINTSSSSSS
the answer will be thirty three cm.
Which equation has a slope of –32 and a y-intercept of 5?
Answer:
You did not add an image, although the answer is as follows:
Step-by-step explanation:
y=mx+b
m=slope
b= y-intercept
So, this situation's equation would be y = -32x + 5.
15 POINTS PLEASE HELP!!!
Answer:
the 2nd one i think please be right
Look at the picture and answer, Please show work as well
Answer:
1. Boys =61
2.=53
3.122
4.128
The graph of the function g(x) is a transformation of the parent function f(x)=x2. Which equation describes the function g?
1. g(x)=(x−4)2
2.g(x)=x2+4
3.g(x)=x2−4
4.g(x)=(x+4)2
Answer:
g(x) = x^2 - 4 (Answer #3)
Step-by-step explanation:
The graph of the parent function f(x) = x^2 is a parabola with vertex at (0, 0). That of g(x) is the same, except that the first graph has been translated down by 4 units.
When this happens, the original function f(x) = x^2 + 0 changes to
g(x) = x^2 - 4 (Answer #3)
for the following system, use the second equation to make a substitution for why in the first equation. Will mark brainlyest!
2x + y = 5
y + 3 = 2x
a. 2 x + 3 - 2 x = 5
b. 2 x + 2 x - 3 = 5
c. 2 x + 2 x + 3 = 5
Answer:
b
Step-by-step explanation:
get y by itself in the second equation: y= 2x-3
substitute this into the y of the first equation:
2x+2x-3= 5
Can
Someone
Please
Help
With this one
Problem
(I’ll give 25 points)
Given that 1 inch=2.54 cm how many centimeters are there in 6 feet
Answer:
182.88
Step-by-step explanation:
I hope this helped