find the values of x, z and y

Find The Values Of X, Z And Y

Answers

Answer 1

The values of x is 82° , z is 98°and y is 69°. in the given triangle.

Is the sum of all triangle angles always 180 degrees?

Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).

we know that the sum of angle of triangle = 180

so,

x+ 60 +38=180

x=180-8

x=82°

and also

x+z = 180

z= 98°

for value of y

13 + 98 +y = 180

y= 69°

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Related Questions

Find value of c


[tex]48c+ 6 = 408 \div 4[/tex]

Answers

Answer:

2

Step-by-step explanation:

408 / 4 = 102

48c + 6 = 102

48c = 102 - 6

48c = 96

c = 96/48

c = 2

Hence, the value of c is 2.

Answer:

[tex] \sf \: c = 2[/tex]

Step-by-step explanation:

Given equation,

→ 48c + 6 = 408 ÷ 4

Now the value of c will be,

→ 48c + 6 = 408 ÷ 4

→ 48c + 6 = 102

→ 48c = 102 - 6

→ c = 96 ÷ 48

→ [ c = 2 ]

Hence, the value of c is 2.

How do the angles and sides of the outline correspond to the angles and sides of the original triangle?

Answers

The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.

What are corresponding sides and angles?

Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.

Given:

For Corresponding Angle

The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.

Form Corresponding Side

If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,

i.e., A : a = B : b = C : c.

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willl mark you brainlieestttt

Answers

Answer:

C

Step-by-step explanation:

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

A car dealer offers 5%
off the invoice price of
a new car. A customer
buys a car with an in-
voice price of $24,500.
How many dollars does
the customer save?
Helppp

Answers

Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Jus
t be. FOREVER
my fri
end​

Answers

Answer:

thank u for points

stay safe happy and healthy..

Answer:

okay sure lol

Step-by-step explanation:

What is the missing length?
Help

Answers

Answer:

5 in. the answer lies in the Pythagorean theorem

Answer:

5

Step-by-step explanation:

using Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are sides

c is the hypotenuse

in this case we need a side:

[tex]a^2+12^2=13^2\\a^2 + 144 = 169\\[/tex]

subtract 144 from 169

[tex]a^2=25\\\sqrt{a} ^{2} = \sqrt{25}[/tex]

so a = 5

THE ANSWER IS 5 :)

Question 1(Multiple Choice Worth 4 points) (02.05 LC) A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible? Sampling error Cause-and-effect relationship Convenience error Confounding Simpson's Paradox

Answers

The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.

Simpson's paradox

it is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined.

This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.

It concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.

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given that sin x = cos 2x find the value of x​

Answers

Answer:

The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.

Step-by-step explanation:

△BOK∼POS. Identify the coordinates of K and the scale factor.

O = 0, 0

B = 5, 0

P = 8, 0

S = 0, -12

Answers

The coordinates of K = (0, -7.5) and the scale factor is 8/5.

Consider the following figure of triangles.

△BOK and ΔPOS.

Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)

i.e., OP / OB = OS / OK = PS/BK

Consider an equation,

OP / OB = OS / OK

From the diagram:

OP = 8, OB = 5, OS = 12

Substitute these values in above equation.

8/5 = 12/OK

OK = 60/8

OK = 7.5

We can observe that OK is the distance of point K from origin 'O'

So, the coordinates of K would be (0, -7.5)

And the scale factor is 8/5.

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2x + 4y = -16
solve for y

Answers

Answer: y = -1/2x -4

Step-by-step explanation:

To solve for y, subtract 2x on both sides

2x-2x + 4y = -16 - 2x

Simplify

4y = -16 - 2x

Divide by 4 on both sides to get y by itself

4y/4 = -16 - 2x/4

Simplify

y = -4 - 1/2x

Switch the right-side terms to write them in slope-intercept form

y = -1/2x -4

Y=4x-4 two step function table

Answers

x     y   is the two-step function table of the given linear equation

0    -4

1     0

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

given an equation y  = 4x -4

Use the slope-intercept form to find the slope and y-intercept.

y = mx + c

m =4

c = -4

Slope = 4

The slope of the line is the value of m, and the y-intercept is the value of b.

y-intercept  : (0, -4)

x-intercept where y = 0 : (1, 0)

Therefore, the table of the two-step functions is Written below.

x     y  

0    -4

1     0

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What is the area of the composite figure below?

Answers

Answer:

33 sq cm.

Step-by-step explanation:

Let's calculate each shape serperately,

--------

For the square, the area is 25 since

5 × 5 = 25

-------

For the rectangle, the area is 8:

4 × 2 = 8

-----

Add these together to get 33 sq cm

Have a good day :)

4x+4y=4 3x+y=10 solve by elimination

Answers

Answer and Step-by-step explanation:

First, solve for y in the second equation because that equation would be easier to solve than the first one for y.

y = 10 - 3x.

Now, plug this into the y of the first equation, and solve for x.

4x + 4(10 - 3x) = 4

Distribute the 4.

4x + 40 - 12x = 4

Combine 4x and -12x,  Subtract 4 from both sides, then add -8x to both sides.

-8x + 40 = 4

36 = 8x

Divide both sides by 8.

[tex]\frac{9}{2}[/tex] (or 4.5) = x

Now, plug this in for x in the second equation to solve for y.

3 × 4.5 + y = 10

13.5 + y = 10

Subtract 13.5 from both sides.

y = -3.5

[tex]\frac{9}{2}[/tex] (or 4.5) = x

y = -3.5

#teamtrees #PAW (Plant And Water)

What is the measure of DE?

A. 39°
B. 37°
C. 41°
D. 40°

Answers

Answer: C 41 degrees

Step-by-step explanation:

Law of Sine.
Find the measure of the indicated angle. Need help please.
I need explanation too- thank you!
NO LINKS...I WILL REPORT YOU

Answers

Answer:

Bc=20

Step-by-step explanation:

Sin61=BC/AC=BC/23

BC=23sin61=20

rectangular prism: length 16 feet, width 12 feet, height 42 feet

Answers

What does “your mom” mean

Finding zeros of this equation

Answers

Answer:

01?

Step-by-step explanation:

I didn't see a picture so maybe just one

11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room. ​

Answers

The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:

4b = 3l

We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".

s = b + 1 = l - 1

We can substitute the first equation into the second equation to get:

s = b + 1 = (3l/4) - 1

Now we can solve for s:

s = b + 1m = (3l/4) - 1m

s = (3l/4) - 1m + 1m = (3l/4) = l - 1m

Now we can substitute this back into the first equation:

4b = 3(l - 1m)

We can now solve for b:

4b = 3l - 3m

b = (3l/4) - (3m/4)

Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.

We can find the value of length and breadth by substituting the value of s in the first equation

4s = 3l

s = 3l/4

So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4

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52 > 43 + w

is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer with a yes or no for EACH one
HELP

Answers

Answer:

7 yes

4 yes

13 no

9 no

Step-by-step explanation:

For each one, just substitute the number in as w in the equation they gave you and then check if it is less than 52.

7 yes because 52 > 43 + 7.

4 yes because 52 > 43 + 4.

13 no because 52 < 43 + 13.

9 no because 52 = 43 + 9 and 52 isn't less than 52.

Answer:

yes

yes

no

no

Step-by-step explanation:

Division of mixed numberrss

Answers

Answer:

1. 99/104

2. 4/3

3. 6/5

4. 52/25

5. 57/58

6. 33/100

7. 1/2

8. 8/5

9. 4

10. 4/3

hope this helps any

please help, please, i really need help...

What type of counting problem is this?
How many different sequences of 3 playing cards (from a single 52-card deck) exist?
a. Permutation without repetition
b. combination with repetition
c. Combination without repetition
d. Permutation with repetition

Answers

Answer:

combination with repetition

Step-by-step explanation:

Solve the system of equations.
−5x+8y=0
-7x-8y=-96

Answers

Answer:

-5x+8y-7x-8y=-96

-12x =-96

X= 8

if X=8,

(-5×8)+8y=0

8y=40

y=5

x=8

y=5

[tex] \huge{ \mathrm{ \underline{Answer :}}}[/tex]

The given equations are : -

−5x + 8y = 0 - [1]

-7x - 8y = -96 -[2]

Add the equations :

[tex]\mathrm{- 5x + 8y + (- 7x - 8y) = 0 + (- 96)}[/tex]

[tex]\mathrm{- 5x + 8y - 7x - 8y = - 96}[/tex]

[tex] - 12x = - 96[/tex]

[tex]x = 8[/tex]

_____________________________

plugging value of x in [1] :

[tex] - 5x + 8y = 0[/tex]

[tex]( - 5 \times 8) + 8y = 0[/tex]

[tex] - 40 + 8y = 0[/tex]

[tex]8y = 40[/tex]

[tex]y = 5[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Please help me, find the area to figure around to the nearest hundredth necessary.

Answers

The answer would be 1400 because 56 x 50= 2800 and you divide that answer by two to get you the new answer of 1,400

2. Find the surface area of the solid:
3.1 ft
8 ft
6 ft


Can you show me how you got the answer pls

Answers

It doesn’t let me show how I got it but the answer is option 4

the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns​

Answers

Answer:

about 75

Step-by-step explanation:

I NEED ANSWERS ASAP!!!!!!!!!!!

If WY is 4. 6, what is MZ? Round your

answer to the nearest tenth. Write NA if there

is not enough information given.

Answers

NA (There is not enough information given to determine the value of MZ)

In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.

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pleaase someone help me !


How much would you have to repay on a credit card debt of 3500$ after 2-years if the interest rate is 19.5% compounded half-yearly .​

Answers

Answer:

$ 4,865

Step-by-step explanation:

First find the simple intere

Answer:

P = A (1 + i)^n      where P is the payment, A the original amount and i the  interest rate for the payment period.

Assuming .195 is the annual interest rate then

i = .195 / 2 = .0975  the rate that will be compounded every 6 mos.

P = 3500 * (1 + .0975)^4 = $5078

Which graph shows the polar coordinates (−3,−π4) plotted?

Answers

The graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4).

How to chose a graph associated with given polar coordinates

A point in polar form is described by its magnitude and angle in standard position. When magnitude is negative it means that its angle is +π radians than its equivalent with positive magnitude.

Then, we can determine the angle of the resultant point by means of the following expression:

θ⁻ = θ⁺ + π   (1)

Where:

θ⁺ - Angle of the equivalent point with positive magnitude, in radians.θ⁻ - Angle of the equivalent point with negative magnitude, in radians.  

If we know that θ⁺ = -π/4 and r = 3, then the angle of the point in standard position is:

θ⁻ = θ⁺ + π

θ⁻ = -π/4 + π

θ⁻ = 3 · π/4

Hence, the graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4). [tex]\blacksquare[/tex]

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It is given that y is inversely proportional to the square of x and that y=48 when x=[tex]\frac{1}{2}[/tex].
Find;
(a), the formula for y in terms of x,
(b), the values of x when y=3.

Answers

Answer:

[tex]a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3[/tex]

Step-by-step explanation:

[tex]y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}[/tex]

[tex]Therefore, y = k \times \frac{1}{x^2}[/tex]

Given y = 48, x = 1/2. We will find k.

                 [tex]y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12[/tex]

Find x.

[tex]y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2[/tex]

  PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!

Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS. Explain why it’s the missing side or angle.

Answers

Answer:

Mark angles C and F as congruent.

Step-by-step explanation:

Angle-Angle-Side (AAS) Congruence Theorem

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

The given triangles have one corresponding angle and one corresponding side marked as congruent.  

To satisfy AAS congruency, another pair of corresponding angles need to be marked as congruent.  

As an included side is the side between two angles, we cannot mark angles A and P as congruent, as this would not satisfy AAS congruency since sides AB and PD would be the included sides.  

Therefore, to make triangle ABC congruent to triangle PDF by AAS, mark angles C and F as congruent.

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