Triangles ABC and DEF are shown below. Angle A measures 51°, angle Fmeasures
39°, and x = 6.
7.5
10
Is ABC is similar to DEF?
Answers
Answer:
Yes
Step-by-step explanation:
yes
They both have interior angles of 90-51-39, which automatically makes them similar. You could also see the dilation factor of .75 based on the 2 sides of a right angle to prove it.
ΔABC and ΔDEF are similar by AA Similarity Theorem.
Given in the question,
In ΔABC,
m∠A = 51°AB = 8 unitsBC = 10 unitsIn ΔDEF,
m∠F = 39°EF = 7.5 unitsTo prove these right triangles similar, we can use AA-Similarity Theorem,
By applying triangle sum theorem in ΔDEF,
m∠D + m∠E + m∠F = 180°
m∠D + 90° + 39° = 180°
m∠D = 51°
Hence, ∠D ≅ ∠A and ∠E ≅ ∠B
Therefore, ΔABC ~ ΔDEF [By AA Similarity Theorem]
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Related Questions
Will give brainleist PLEASE HELP ASAP
Sorry if it’s a bit blurry
Answers
Answer:
too blurry, I cant see the numbers
Answer:
X=5
Step-by-step explanation: I have attached my full work, but essentially, it is important to understand that all angles in a triangle equal 180 degrees. Also, we know that angles that form a line equal 180 degrees, so we can solve for the unknown by setting all of the angles in the triangle to 180 degrees to get an algebraic equation.
Which point is on both lines?
С
B
D
point C
point A
point D
point B
Answers
Answer:
point d that is it because I knwo
Answer:
Point D
Step-by-step explanation:
Point D is on both lines because that is where the lines intersect.
What’s the answers. Please and thanks
Answers
Answer:
a) 500
b) 9.6 years
Step-by-step explanation:
Population of Ilamas
a) P = 500 e ^0.035t
Find P when t = 0
Solving for P
P = 500 e ^0.035 × 0
P = 500 × e ⁰
P = 500 × 1
P = 500
The population of the Ilamas when t = 0 is 500
b ) Find t when P = 700
P = 500 e ^0.035t
700 = 500 e ^0.035t
Divide both sides by 500
700/500 = 500 e ^0.035t/500
7/5 = e ^0.035t
1.4 = e ^0.035t
Take In of both sides
In 1.4 = In (e ^0.035t)
In 1.4 = 0.035t
t = In 1.4/0.035
t = 0.3364722366/0.035
t = 9.6134924749 years
t = Approximately to the nearest tenth of a year = 9.6 years
#1
If Four cups of flour makes seven dozen holiday cookies, how many cups of flour are needed to make 126
cookies?
Answers
Answer:
6 cups to make 126 cookies
Step-by-step explanation:
dozen = 12 cookies
7 x 12= 84
126 - 84 = 42
so you will have to make 42 cookies more and that will be 2 more cups of flour
it total is 6 cups to make 126
What is the square root of 49?
Answers
Answer:
7
Step-by-step explanation:
7×7=49
.............
Answer:
The answer is 7.
7² is equals to 49.
write the slope intercept form of the equation of each line just need help with 1 to undersand the subject. i will do the rest :)
EXPLAIN YOUR ANSWER OR I WILL NOT MARK BRAINLIEST AND I WILL REPORT
Answers
3x-2y=-16
slope intercept form is y=mx+b
move 3x to the other side
sign changes from +3x to -3x
3x-3x-2y=-3x-16
-2y=-3x-16
divide both sides by -2 to get y by itself
-2y/-2=-3x/-2-16/-2
y=3x/2+8
answer:
y=3x/2+8
The integer 4 is considered all of the following except _____.
a term
a constant
an expression
a variable
Answers
Answer:
variable
Step-by-step explanation:
variables are often expressed by letters
the relationship between altitude and the boiling point of a water and liquid is in the new year at an altitude of 8000 feet the liquid boils at 204.4 degrees Fahrenheit
at now altitude of 4300 feet ,the liquid boils at 208.84 degrees Fahrenheit. write an equation given the boiling point B of the liquid in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of a liquid at 2500 ft?
Answers
Answer:
Boiling B would probaly Have
a huge impact on the answer
Step-by-step explanation:
evaluate (12÷x)+3^2 when x =4
Answers
Answer:
12
Step-by-step explanation:
12/4=3
3^2=9
3+9=12
There is 1 empty seat and 49 occupied seats on an airplane.What is the ratio of the number of empty seats to the number of occupied seats?
Answers
Step-by-step explanation:
This is a classic puzzle!
The answer is that the probability that the last person ends in up in his proper seat is exactly
1
2
The reasoning goes as follows:
First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:
1
2
.
Sorry, no clue about a physical system
plzplzplz helllllllllllppppppppppppppppppppppppppppp mmmmmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee please
Answers
Answer:
what do you need help with
Please help ! And , give the right answer please .
Answers
Answer:
none of them are constant of proportinality.
Step-by-step explanation:
because if you divided each one. you do not get the same answer. if you did it would have to be either of the others, but in this case there is no constant of proportinality in that chart
Answer: D( not proportional)
Step-by-step explanation:
3*4= 12
6*4= 24
9*4=36
12*4=48
The two lasts x and y values are not proportionate because they don’t follow the same order of times 4
The Davidson family belongs to a food co-op with 8 other families.44 pounds of potatoes were purchased, and each family will receive 1 8 eight of potatoes. The Davidson family will receive Of the potatoes.
Answers
Answer:
see below
Step-by-step explanation:
Portion:
1/8 = 0.125
Each of the family will get:
44 pounds * 0.125 = 5.5 pounds of potatoes
**Five and a half pounds of potatoes.
To divide a number by 1,000, move the decimal point _____.
three places to the right
four places to the right
three places to the left
four places to the left
Answers
Answer:
three places to the right!
Step-by-step explanation:
Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).
Hope this helps!
What are prime numbers? I have an exam and I need to know it.
Answers
Answer:
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
Answer:
2 3 5 7 11 13 17 19 23 29
Step-by2-step explanation:
Only being divided integrately by 1 and itself.
vary hard 12th grade work
Answers
Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5
Answers
Answer:
a. 1.2
Step-by-step explanation:
From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.
What is the best description of the relation in Item 2?
A. a function that is one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function
Answers
Answer:
Step-by-step explanation:
a relation that is not a function
Please help I keep on watching the vids but I’m not understanding
Answers
Answer:
3053.63 yd^3
Step-by-step explanation:
There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.
3 1/2 miles in 1/2 hour
Answers
Answer:
? 7 miles an hour i guess
Which statement about 3 multiplied by 2/3 must be true?
Answers
Hello I need urgent help with this question!!
Answers
Answer:
B
Step-by-step explanation:
First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4
That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!
click the heart button to give thanks :) merry xmas
Please help this is for a grade I don’t know the answer will give brainlest
Answers
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
What is the value of x in the equation 25-0 25x=-3? 0 -22 0 -11 o 11 o 22
Answers
Answer:
x=11
Step-by-stepx+11 explanation:
this was an accident ignore this
write a situation for 1/3 x 3/4 = 3/12
Answers
Answer:
1/3x3/4=3/12
3/4=3/12x3/1
=3/12x3/1x4/3
=3/4
A varsity boy's basketball team has ratio of seniors and juniors that is 7:4. If the team is made up of only juniors and seniors, what is the ratio of seniors to the total team members?
Answers
Answer:
7:11
Step-by-step explanation:
From the question
Seniors : Junior's
7:4
The sum of the proportion = Total team members = 7 + 4 = 11
Hence, the ratio of seniors to total team members =
Senior : Total team members
7 : 11
4t-8
select all that apply.
A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)
Answers
Answer:
A. is the answer.
Step-by-step explanation:
4t-8=4×(t-2)
4=0
t-2 add to both side of equation
t=2
Rock-paper-scissors is a hand game played by two or more people where players choose to sign either rock, paper, or scissors with their hands. We would like to test if players choose between these three options randomly, or if certain options are favored above others. What hypothesis test should we conduct to answer this research question?
a. Chi square test of independence
b. Chi square test of goodness of fit
c. Compare two means
d. Compare two proportions
Answers
Answer:
The hypothesis test should we conduct to answer this research question is:
a. Chi square test of independence
Step-by-step explanation:
The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others." It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related. The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value. After repeating this process for all the elements involved, the sum is obtained.
A football team has a net yardage of -33 yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
331
Answers
Answer:
they need 43 more yards
Step-by-step explanation:
The external and the internal radius of a cylindrical pipe of length 50 cm are 3 cm and 2.6cm respectively. find the volume of material contained by the pipe
Answers
Answer:351.86 cc( approximately)
Step-by-step explanation:
The volume of the material = External volume - internal volume
= π3^2×50-π 2.6^2×50
=351.86
The volume of the material by the pipe is 351.86 cc.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively
The length of the pipe is 50 cm
External volume = π(3)²×50 = 1413.71 cc
internal volume = π (2.6)²×50 = 1061.85
The volume of the material = External volume - Internal volume
The volume of the material = 1413.71 - 1061.85
The volume of the material = 351.86 cc
Learn more about the volume of cylinder here :
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