Mathematics College

State what additional information is required in order to know that the triangles are congruentfor the reason given.

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State What Additional Information Is Required In Order To Know That The Triangles Are Congruentfor The

Answers

Answer 1

The additional information is required in order to know that the triangle are congruent is, GW ≅ WX.

What is congruent triangles?

If each of the three corresponding sides and each of the three corresponding angles in two triangles equals one another, then the two triangles are said to be congruent.

We have to show that the the triangles ΔVWX and ΔEWG are congruent by using the AAS (angle, angle, side) criteria.

From the given reasons,

∠V ≅ ∠E

∠VWX ≅ ∠EWG

From this the AA criteria is satisfied.

We want sides of the triangle are congruent.

From the figure, GW ≅ WX

Therefore, by AAS the two triangles ΔVWX and ΔEWG are congruent.

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Related Questions

find the value of b/a if a+1/b-1=5/1 and a-1/b+1=1/1

Answers

Answer:

  1/2

Step-by-step explanation:

You want the value of b/a when (a+1)/(b-1)=5/1 and (a-1)/(b+1)=1/1.

Solution

The latter equation tells you ...

  a -1 = b +1

  b = a -2

Then the first equation tells you ...

  a +1 = 5(b -1)

  a +1 = 5(a -2 -1) substitute for b

  a +1 = 5a -15 . . . . eliminate parentheses

  16 = 4a . . . . . . . . add 15 -a

  4 = a . . . . . . . . . divide by 4

  b = a -2 = 4 -2 = 2 . . . . find the value of b

  b/a = 2/4 . . . . . . . . . . find the desired ratio

  b/a = 1/2

explain what a,h, and k do to transform the parent absolute function y=|x| to the function y= a|x|…

Answers

The a ,h and k values affect the parent absolute function ,by altering  the the size , causing horizontal and vertical movements respectively.

How do the a , h and k values affect the function?

a )a values

a values affect the size of the graphed parent absolute function and they have a scalar factor.When a is greater than 1 , we have a vertical stretch (Taller appearance )and a horizontal compression (Thinner appearance).When a is between 0 and 1 , we have a vertical compression( Shorter appearance) and a horizontal stretch ( wider appearance).

b ) h values

h values cause left or right movement of the graph, which is known as the horizontal shift or translation.When h is negative, the graph moves right.When h is positive , the graph moves left.

c ) k values

k values cause up and down movement ,which is known as the vertical shift or translation.When k is negative, the graph moves down.When k is positive , the graph moves up.

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in a class of 50 student 35 are girls what is the probability that a student selected at random is a boy​

Answers

There are 50 students. If 35 are girls, then 15 are boys.

50 x 2 = 100%
So
15 boys x 2 = 30%

Answer= 30%

Have a happy thanksgiving ^^

Q12) 150 Chinese Yuan is about $21 US dollars. How much (in US dollars) will an item cost in 700 Chinese Yuan?​

Answers

Answer:

Step-by-step explanation:

Set up the equation:

21/150=x/700

Cross multiply 150*x and 21*700

14700=150x

Divide each side by 150

98=x

An isosceles triangle with congruent sides of length
49.3 inches has a perimeter of 121.7 inches Find the
length of the base.

Answers

The length of the base is 22.1

An isosceles triangle with congruent sides of length 49.3 inches has a perimeter of 121.7 inches

An triangle is said to be isosceles if two sides of the trainagle have same length.

The two sides of this triangle is congurent that is they have same length = 49.3

perimeter of a triangle is the summation of all three sides.

Perimeter = length + base + length

121.7 = 49.3 + base + 49.3

base = 121.7 - 99.6

base = 22.1

Therefore, the length of the base is 22.1

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see picture for question

Answers

The percentage error is 0.67%

What is Linear approximation ?

A linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.

The formula is

L(x) = f(a) + f'(a) (x - a)

Given,

y = sin(2x)

Δx = 0.1 at x = 0

y'(x) = dy/dx = 2 cos 2x    

As, x = 0

y'(0) = 2 cos 0

we know, cos 0 = 1

y'(0) = 2      

Δy = y'(x) * Δx

    = y'(0) * Δx

   = 2 * 0.1

Δy = 0.2  (Approx value)

Exact value of Δy = sin(2 * 0.1) - sin 0

                            = sin(0.2) - 0

                             = 0.19867

% error = [ (Exact value - Approx value) / Exact value ] * 100

           =  [ (0.2 - 0.19867) / 0.19867 ] * 100

          = 0.66945 or 0.67%

Hence, the percentage error is 0.67%

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Wha is the y intercept of the line given by the equation below y=4x - 6

Answers

The y-intercept is -6.

When identifying parts of a slope-intercept equation, we can note that:

• The coefficient is the slope (represented by m)
• The constant is the y-intercept (represented by b)

In this equation, the constant (the integer by itself) is -6. The slope (the coefficient represented with a variable of x beside it) is 4. (0,-6) is the point on a coordinate plane in which the graphed line crosses the y-axis.

Write the given expression as an algebraic expression in x. tan(2 sin^-1(x))

Answers

The trigonometric ratio tan(2 sin⁻¹(x)) is expressed as 2sec(x)

Trigonometric Ratio

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

In the question given, we have;

tan(2 sin⁻¹(x))

tan = sin / cos

sin/cos(2 * 1/sin x)

The expression becomes 2/cosx or 2cos⁻¹(x)

But cos⁻¹ = sec

tan(2 sin⁻¹(x)) = 2sec(x)

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Helen had $330 in her savings account when Vince
opened a savings account with zero
dollars.
Helen deposited $30
into her account each week for x week;
Vince deposited $50 into his account
each week for x weeks.
The accounts did not earn
interest.
Which inequality represents this situation when the amount of money in Helen's account wa
greater than the amount of money in Vince's account?

Answers

Answer:

Step-by-step explanation:

50x < 330 + 30x

Juan and Malia make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Juan walks pets in groups of 9 and Malia walks pets in groups of 3. What is the smallest total number of pets each could be walking?​

Answers

The smallest total number of pets each could be walking is 2.

Given:

Juan and Malia make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Juan walks pets in groups of 9 and Malia walks pets in groups of 3.

from the given statements:

Juan pets groups = 9

Malia pets groups = 3

so they both can same total number of pets is maximum 3.

so minimum number for each is 1.

Total = 1+1

= 2

Therefore The smallest total number of pets each could be walking is 2.

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What is 4x6x26x376x466 equal to

Answers

109334784 is the answer!
4x6x26x376x466 equals to 109334784
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