Based on the figure given below.
AC = 20cm
BC = 24Cm
AB = 16cm
CD = 15Cm and CE = 18cm then
a) Show that triangle ABC sim triangle DEC
b) How long is DC ?

Answer:

56.7 and 123.3

Step-by-step explanation:

delta math

The required value of  ∠J is 56.6° for the given triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Here, we are given:

j = 6.3 inches (the length of side JK)

l = 6.1 inches (the length of side KL)

∠L = 54° (the measure of angle L)

We want to find the possible values of ∠J (the measure of angle J).

Using the law of sines, we can write:

j/sin ∠J = l/sin ∠L

Substituting the given values, we get:

6.3/sin ∠J = 6.1/sin 54°

Multiplying both sides by sin ∠J and dividing by 6.1, we get:

sin ∠J = (6.3/6.1) sin 54°

sin ∠J ≈ 0.8354

∠J = sin⁻¹ (0.8354)

∠J = 56.6°

Therefore, the required value of  ∠J is 56.6°.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ3

Answer:

0.0571 = 5.71% probability that this fund-raising event is a success

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The organizers would call this event a success if the total contributions exceed $4,600

Forty families, so sample mean above 4600/40 = 115.

Mean and a standard deviation of $105 and $40

This means that [tex]\mu = 105, \sigma = 40[/tex]

Sample of 40

This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]

What is the probability that this fund-raising event is a success?

Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115 - 105}{6.3246}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a pvalue of 0.9429

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability that this fund-raising event is a success

9514 1404 393

Answer:

  A)  B = 37.2°, b = 309.1, c = 382.3

Step-by-step explanation:

You know the third angle must be ...

  B = 180° -131.6° -11.2°

  B = 37.2° . . . . . . eliminates choice D

You know the two missing sides are both longer than 99.3, eliminating choice C.

Since angle C is the largest angle, side c is the longest side, eliminating choice B.

By the process of elimination, we know the correct choice is A.

__

The Law of Sines will tell you the length of side C is related to the other triangle values by ...

  c/sin(C) = a/sin(A)

  c = (99.3 ft)×sin(131.6°)/sin(11.2°)

  c ≈ 382.3 ft . . . . matches choice A

Answer:

11

Step-by-step explanation:

when y = 4

x = 3(4) -1

x= 12-1 = 11

Answer:

Answer: 50∘ and 130∘

Step-by-step explanation:

deltamath:)

The measures of M are 50.0 and 130 degrees

The given parameters are:

[tex]\mathbf{m = 5.6cm}[/tex]

[tex]\mathbf{o = 4.6cm}[/tex]

[tex]\mathbf{\angle O = 39^o}[/tex]

The measure of angle M is calculated using the following sine formula

[tex]\mathbf{\frac{o}{sin\ O} = \frac{m}{sin\ M}}[/tex]

So, we have:

[tex]\mathbf{\frac{4.6}{sin\ 39} = \frac{5.6}{sin\ M}}[/tex]

Evaluate sin 39

[tex]\mathbf{\frac{4.6}{0.6293} = \frac{5.6}{sin\ M}}[/tex]

Cross multiply

[tex]\mathbf{sin\ M \times 4.6 = 5.6 \times 0.6293}[/tex]

[tex]\mathbf{sin\ M \times 4.6 = 3.5241}[/tex]

Divide both sides by 4.6

[tex]\mathbf{sin\ M = 0.7661}[/tex]

Take arc sin of both sides

[tex]\mathbf{M = sin^{-1}(0.7661)}[/tex]

[tex]\mathbf{M = 50.0}[/tex]

The other possible value of M is:

[tex]\mathbf{M = 180 -50.0}[/tex]

[tex]\mathbf{M = 130.0}[/tex]

Hence, the measures of M are 50.0 and 130 degrees

Read more about sine equations at:

https://brainly.com/question/14140350

Answer:

1. Cellphone screen - plane

2. edge of a wall - line

3. grain of sell - point

4. strand of straight hair - line

5. Tip of a crayon​ -point

Step-by-step explanation:

1. Cellphone screen - It represents a 2 D plane surface. Hence it is a representation of a plane

2. edge of a wall - It is representation of a line

3. grain of sell - It is representation of a point

4. strand of straight hair - It is representation of a line

5. Tip of a crayon​ - It is representation of a point

Answer:

-4m+10

Step-by-step explanation:

Answer:

-4m+10

explanation:

6m-10=-4m

+10

-4m+10

Answer:

3/8

Step-by-step explanation:

........ur welcome.........

6/8 - 3/8

Answer:

3/8

Step-by-step explanation:

6/8-3/8 =38 your welcome guys;)

Answer:

c

Step-by-step explanation:

Answer:

its a reflection over the x-axis

Answer:

Step-by-step explanation:

8

Answer:

i think the answer is double in the blank

Answer:

Step-by-step explanation:Answer:

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/

Answer:

since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Step-by-step explanation:

Given the data in the question;

n = 41

r = 0.883

H₀ : population correlation coefficient = 0 ( both are independent )

Hₐ : population correlation coefficient ≠ 0 ( there is a linear relation between student task persistence and achievement score )

critical value for n = 30 is 0.361

that means, for n = 41, critical value will be less than 362

now, since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Answer:

What is your question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: (d)

Step-by-step explanation:

Answer:

we will

turn around and find out

Step-by-step explanation:

9514 1404 393

Answer:

  a, c, d

Step-by-step explanation:

b is NOT equivalent, because the content of parentheses is evaluated first. That makes the expression equal to 2/15, which is not equal to the given expression.

  [tex]\dfrac{2}{(5\times 3}=\dfrac{2}{15}\ne\dfrac{2}{5}\times3=\dfrac{6}{5}[/tex]

__

Expressions (a) and (d) are exactly the same thing, written using different symbols for division. Expression (c) is the equivalent.

Answer:

2x-7

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

m<1 = 70

m<2 = 110

m<3 = 82

Step-by-step explanation:

<1:

x + 75 + 35 = 180

x + 110 = 180

x = 70

<2:

<1 + x = 180

70 + x = 180

x = 110

<3:

The blank angle is 70 (b/c of 180 - 110) and vertical angles with <1

x + 70 + 28 = 180

x + 98 = 180

x = 82

Answer:

x=7

Step-by-step explanation:

Answer:

$126

Step-by-step explanation:

10-8=2(hours overtime)

1 1/4 × 12 = $15 per hour

2×15=$30

8×12=$96

$96+$30= $126

Answer:

okay first of all I can't see anything and second of all if you wanna find answer to this the use calculator, multiply the 3 digits of length, width and height

Answer:

I don't know if this is all correct, but I tried

Answer:

4

Step-by-step explanation:

That sucks hope you find them.

Answer:

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures

Step-by-step explanation:

Traditional procedure bring as μ  =  8,6 h

Sample Information:

Sample size   n  = 26

Sample mean  x  =  8,4

Sample standard deviation   s  = 1

With  n  = 26  unknown population standard deviation, and population with normal distribution we should use t-student test

then  n = 26      degree of freedom  df  =  n - 1    df  =  25

significance level 0,1  with that information we look in t-student table t (c) ( two tails test)

t(c) = - 1,708

Test Hypothesis

Null hypothesis                  H₀                 x =  μ

Alternative Hypothesis     Hₐ                 x ≠  μ

Alternative hypothesis indicates that the test should considered two tails

To calculate  t(s)

t(s)  =  (  x  -   μ ) / s/√n

t(s)  = ( 8,4  -  8,6 )/ 1/√26

t(s)  = - 0,2 *  5,09 / 1

t(s) =  - 1,019

Comparing |t(s)| and |t(c)|

1,019 < 1,708     |t(s)| <  |t(c)|

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures