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4 years ago

Find value of y and x

Mathematics

1 answer:

Vika [28.1K]4 years ago

4 0

Since the triangle is isosceles the measure of angle B is also 47.
since you have dropped a perpendicular bisector the measure of angle x is 90. and since the angles must add to 180 you get 47+47+a=180 and a= 86. since y is half this we have y is 43

if you like my answer please rate as brainliest! thx

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On an exam with μ = 52, you have a score of X = 56. Which of the following values for the standard deviation would give you the

Aleonysh [2.5K]

Answer:

σ = 2 (option a)

Step-by-step explanation:

You would want the smallest standard deviation possible.

Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.

As opposed to being an average position if the scores were about 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.

So, a standard deviation of σ = 2 would give you the highest position in the class distribution.

5 0

2 years ago

Please help ! only G-J 15 points for this.

kogti [31]

Answers: G) ∠BCS = 57.5°

H) ∠FHI = 72°

I) ∠ACB and also ∠DCH

J) ∠CHD (which can also be named ∠BHE)

Step-by-step explanation:

First of all, I checked your answers for A-F and they are all correct. YAY!

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G) Draw a point halfway between B and D and label it S. Then draw a ray from C passing through S.

∠ACB and ∠BCD are supplementary so

65° + ∠BCD = 180°

⇒ ∠BCD = 115°

Since ray CS bisects ∠BCD, then ∠BCS is half of ∠BCD.

$\angle BCS=\dfrac{1}{2} (\angle BCD)\\\\. \quad \quad=\dfrac{1}{2}(115^o)\\\\. \quad \quad =\large\boxed{57.5^o}$

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H) The instructions state to draw a line from H to F. This divides ∠DHI into two angles: ∠FHD and ∠FHI. Since lines BI and EG are perpendicular, then ∠DHI = 90°. It is given that ∠FHI is 4 times larger than ∠FHD so we can use substitution...

∠FHD + ∠FHI = ∠DHI

∠FHD + 4(∠FHD) = 90°

5(∠FHD) = 90°

∠FHD = 18°

∠FHI = 4(∠FHD)

= 4 (18°)

= $\large\boxed{72^o}$

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I) adjacent means they share a side and supplementary means they form a straight angle. There are two angles that are adjacent and supplementary to ∠ACH.

ACB - they share side AC and are supplementary on BH

DCH - they share side CH and are supplementary on AD

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J) congruent means equal and adjacent means they share a side.

The angle that is not congruent nor adjacent to ∠GHI is its vertical angle, which is ∠CHD. Notice that ∠CHD is the same as ∠BHE.

5 0

3 years ago

Factor this polynomial expression.

Sauron [17]

Answer:

The answer is A. (x-6)(x-6)

Step-by-step explanation:

x^2 -12x + 36

x^2 - (6+6) x+36

x^2 - 6x - 6x + 36

x( x - 6) -6(x-6)

(x-6)(x-6)

8 0

4 years ago

PLEASE HELP! WILL MARK BRAINLIEST!

RideAnS [48]

Answer:

1) 7m

2) 13

3) 4x^2y

4) 6s^3t^4

Step-by-step explanation:

gcf means the the greatest factor that works for both terms

1) 21m^3 and 28m

let's first find the gcf for the coefficient

21 and 28, the gcf is 7. (hopefully thats easy to explain)

the gcf for the variables is the same mindset as the numbers

m^3 and m, both can be factored by m

so the gcf is 7 * m which is 7m

13x and 26

let's first find the gcf for the coefficient

13 and 26, gcf is 13

there's only one variable, x, so there's not gcf for that

so the gcf is just 13

8x^2y and -12x^3y^2

let's first find the gcf for the coefficient

8 and -12, the gcf is 4 (you can also say -4)

for the variables , same mindset

x^2y and x^3y^2

the gcf for x is x^2, and for y it is just y

so 4 * x^2 * y = 4x^2y

by understanding 3) hopefully you can understand 4)

pls comment for any questions

7 0

4 years ago

Please help I will give brainliest

tigry1 [53]

Answer:

Step-by-step explanation:

Rectangle: Length * Width

—> 12 * 2 = 24

Triangle: Base * Height * 1/2

—> 12 * 2 * 1/2 = 12

Matches answer A.

8 0

3 years ago