In this figure
Angle x is 35 degrees less than angle y,angle z is a right angle ,How much is angle x and angle y?

Answers

Answer 1

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°


Related Questions

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.

Answers

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

Answers

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?

Answers

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

Answers

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​

Answers

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

Answers

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?​

Answers

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?

Answers

0.89lbs of fruit per serving

Factorise fully the following:
x^2+ x

Answers

Answer:

x(x+1)

Step-by-step explanation:

answer- x(x+1) hope this helps

Which of the following is the closest to the length of side AC?

Answers

Answer:

d

Step-by-step explanation:

Is a cellular phone 120 kilograms or 120 grams?

Answers

Answer:

120 grams because 120 kilograms is a lot

:)

which sequence shows the number in order from least to greatest?
please help​

Answers

Answer: A

Explanation:

The square root of 45 is 6.70
_
8 5/6 as a decimal is 8.83

The absolute value of -23 is 23.

Simplify this expression. 3-³​

Answers

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?

Answers

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.

Answers

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.

Answers

A. kk + 44 = ss B. 13 + 44 = 57, when Katie is 13, Sylvia is 57

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

Answers

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?

Answers

The first one is your answer

Can somebody help me with this question.

Answers

The lesser one is -4 and the greater x is 0.5

The square table has side lengths of 4 feet. What is the length of the diagonal?

Answers

Answer: 2 square root 2

Explanation: you can use the Pythagorean Theorem and do 4^2 + 4^2 = square root of 32 which is 2 square root 2
2 would be correct ^^

Solve for x
4x = 51

1. x = 204
2. x = 47
3. x = 12.75

Answers

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

Answers

Answer: 18

Step-by-step explanation:

NEEEEEEED HEEEEEEEELP !!!!!!!!!!!!!!!!! 13 POINTSSSSSS

Answers

the answer will be thirty three cm.

If I’m not mistaken it should be 38 cm if I’m wrong I’m sorry

Which equation has a slope of –32 and a y-intercept of 5?

Answers

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!!!

Answers

Answer:

the 2nd one i think please be right

Look at the picture and answer, Please show work as well

Answers

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​

Answers

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

Answers

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)

Answers

The answer is 1,059.2


Explanation: subtract 2,824 from 1,500 and you get 1,324. Take that 1,324 and multiply it by .80.

Given that 1 inch=2.54 cm how many centimeters are there in 6 feet

Answers

Answer:

182.88

Step-by-step explanation:

I hope this helped

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