Answer:
Step-by-step explanation:
A.) To show that triangle ABC is similar to triangle DEC, we need to prove that the ratios of the sides of the two triangles are equal.
First, we can write the ratios of the sides of triangle ABC as follows:
AC/AB = 20/16 = 5/4
BC/AB = 24/16 = 3/2
Now, we can write the ratios of the sides of triangle DEC as follows:
CE/CD = 18/15 = 6/5
AC/CD = 20/15 = 4/3
Since the ratios of the sides of the two triangles are equal, it follows that triangle ABC is similar to triangle DEC.
B.) To find the length of DC, we can use the fact that triangle ABC is similar to triangle DEC. Since the ratios of the sides of the two triangles are equal, we can set up a proportion to solve for DC.
First, we can write the ratio of the sides of triangle ABC as follows:
AC/AB = DC/CE
Then, we can substitute the known values for AC, AB, and CE:
20/16 = DC/18
Then, we can cross-multiply to solve for DC:
DC = (20/16) * 18
= (5/4) * 18
= 45/4
= 11.25 cm
Therefore, the length of DC is approximately 11.25 cm.
Answer:
Step-by-step explanation:
To show that triangle ABC is analogous to triangle DEC, we need to prove that the rates of the sides of the two triangles are equal.
First, we can write the rates of the sides of triangle ABC as follows
AC/ AB = 20/16 = 5/4
BC/ AB = 24/16 = 3/2
Now, we can write the rates of the sides of triangle DEC as follows
CE/ CD = 18/15 = 6/5
AC/ CD = 20/15 = 4/3
Since the rates of the sides of the two triangles are equal, it follows that triangle ABC is analogous to triangleDEC.
B.) To find the length of DC, we can use the fact that triangle ABC is analogous to triangle DEC. Since the rates of the sides of the two triangles are equal, we can set up a proportion to break for DC.
First, we can write the rate of the sides of triangle ABC as follows
AC/ AB = DC/ CE
also, we can substitute the known values for AC, AB, and CE
20/16 = DC/ 18
also, we cancross-multiply to break for DC
DC = (20/16) * 18
= (5/4) * 18
= 45/4
= 11.25 cm
Thus, the length of DC is roughly11.25 cm.
To know more about Triangle
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ALGEBRA
identify the terms, coefficients, and constants in the expression.
3+c+e
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:
Find the measures of the missing angles:
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
In ΔJKL, j = 6.3 inches, l = 6.1 inches and ∠L=54°. Find all possible values of ∠J, to the nearest 10th of a degree.
Answer:
56.7 and 123.3
Step-by-step explanation:
delta math
The required value of ∠J is 56.6° for the given triangle.
What is a 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:
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#SPJ3
what is the straight distance between point h and j on the grid below
Answer:
Step-by-step explanation:
8
In ΔMNO, m = 5.6 cm, o = 4.6 cm and ∠O=39°. Find all possible values of ∠M, to the nearest 10th of a degree.
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:
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Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $105 and $40, respectively. The organizers would call this event a success if the total contributions exceed $4,600. What is the probability that this fund-raising event is a success
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
For which values of s would the product of s/5 ×10 be greater than 10?
6 and 7
4 and 5
2 and 3
0 and 1
Answer:
we will
turn around and find out
Step-by-step explanation:
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
PLEASE HELP GEOMETRY ASAP! 20 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED WITH NO POINTS!!
I thought it was B, but it says it's wrong. Its definitely not D, so A or C?
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
help me plssssssssss
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.
hello trying to find Anokhi44 because the question I was talking to them got deleted soooooo and i can't find them .
2+2=
Answer:
4
Step-by-step explanation:
That sucks hope you find them.
Will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
its a reflection over the x-axis
2x=14?
solve for x.
solve for x.
Answer:
x=7
Step-by-step explanation:
1 cm= 4 meters model is 75 1/4 cm tall what is the actuall height
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/
(Find the VOLUME)
Please help I’m being ya I really don’t wanna stay up late (NO LIKE) (NO LYING)
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
Using traditional methods, it takes 8.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.0. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
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
Is this correct?? So, basically, it asking for a decimal equivalent to 920.35
2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x
Answer:
What is your question
Step-by-step explanation:
I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP / WRITE ON PAPER!
-giving brainlist
Answer:
I don't know if this is all correct, but I tried
Sean works for a company.
His normal rate of pay is £12 per hour.
When Sean works more than 8 hours a day, he is paid overtime for each hour he works
more than 8 hours.
Sean's rate of overtime pay per hour is 1 1/4 times his normal rate of pay per hour.
On Monday Sean worked for 10 hours.
Work out the total amount of money Sean earned on Monday.
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
What is the x-coordinate of the point on the line x = 3y - 1 with a y-coordinate of 4
Answer:
11
Step-by-step explanation:
when y = 4
x = 3(4) -1
x= 12-1 = 11
On an international exam; students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam; the correlation between the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.883. Does this suggest there is a linear relation between student task persistence and achievement score
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 ]
6th GRADE MATH! PLEASE HELP EEEEEEEEE
Answer:
-4m+10
Step-by-step explanation:
Answer:
-4m+10
explanation:
6m-10=-4m
+10
-4m+10
1. Find the value of x in the figure below.
74°
2x
Answer:
2x-7
Step-by-step explanation:
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
HELP DUE SOON!!
Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and
records the heights.
Shade plant heights (in.)
Sun plant heights (in.)
7 12 11 9 8 11 12 10
1924 24 20 23 24 22 20
Express the difference in the means as a multiple of their ranges.
The difference in the means is how many
times the ranges.
Answer:
i think the answer is double in the blank
Simplify 2x - x + 4x
Activity - 1
A. Identify the whether the object is a
representation of a point, Line, or plane.
1. Cellphone screen
2. edge of a wall
3. grain of sell
4. strand of straight hair
5. Tip of a crayon
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
the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?
a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed
A glass has 6/8 cup of water. If Jack pours out 3/8 cup of the water, how much water will be left?
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;)