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mina [271]
1 year ago
6

Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x

minus 1, side bc is labeled 4, side ac is labeled 5. in triangle cde, side cd is labeled 5, side de is labeled x plus 2, side ce is labeled 4. if geometry symbol represented as small triangle with three sides. abc geometry congruent symbol represented as two small horizontal parallel lines and a horizontal symbol s. geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Mathematics
1 answer:
Sidana [21]1 year ago
4 0

Hence, the value of x is 1.

<h2>What is length?</h2>

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.

<h3>How to solve?</h3>

It can be observed that the given 2 triangles are congruent.

we know, for congruent triangles, the length of corresponding sides is equal.

Hence,

       AB = DE

       4x - 1 = x + 2

       3x = 3

       x=1

Therefore, the value of x is 1.

to learn more about length: brainly.com/question/18077445

#SPJ4

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A map is drawn to scale so that 1.2 cm represents 30 miles.How many miles does 1.4 cm represent?
777dan777 [17]
40 miles hope this help[s
8 0
3 years ago
A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (
dezoksy [38]

The required scale factor for the dialed triangle is given by SF= 6.28

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).

<h3>What is scale factor?</h3>

The scale factor is defined as the ratio of modified change in length to the original length.

Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
                         = 1/2 (4 x 6)
                         =   4.8
Similarly, for dilated triangle
Area of dilated triangle =  30

Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25

Thus, the required scale factor is SF = 6.25

 

Learn more about line Scale factor:

brainly.com/question/22312172

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4 0
2 years ago
I really need help with this and how find the Surface area and Lateral area and what is the length and width for both of the fig
Ksenya-84 [330]

Answer:

ok fking fk it ill just tell you, the most affordable way is doing it as a 4*3 package, the length will be 16, width 12, and the height 5. the area will be 960in^3, and the SA will be 664 in^2

Step-by-step explanation:

6 0
3 years ago
Am solving this problem correct
cestrela7 [59]
A) The degree of the first term is... 1
first \ term = 3t
The degree of the second term is... 2
second \ term = t^2
The degree of the third term is... 4
third \ term = t^4

b) The leading term of the polynomial is... 7t⁴
The leading coefficient of the polynomial is... 7

c) The degree of the polynomial is... 4
6 0
3 years ago
Read 2 more answers
An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
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