Answers
Answer:
x = 36°y = 48°Step-by-step explanation:
Given:
ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.
ΔABC = 108 + 48 + ∠CAB = 180°
=> 156 + ∠CAB = 180°
=> ∠CAB = 24°
=> 48 + 108 + 2x - 48 = 180°
=> 108 + 2x = 180°
=> 2x = 72°
=> x = 36°
So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.
Answer: x=36, y=48
Step-by-step explanation:
The sum of the angles in a triangle is 180. From triangle ABC we see that:
108 + 48 + Z = 180, where Z is the unknown third angle.
156 + Z = 180
Z= 24 (angle CAB).
Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48). Thus,
y = 48
we can also say that angle CAB is the same as angle DFE:
24 = (2x-y)
24=2x-48
72=2x
x=36
Related Questions
Use the properties of multiplication to solve.
(4 x 13) x 25
Answers
write each power as a product of the same factor. Then find the value. 4^4
Answers
Answer:
256
Step-by-step explanation:
4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256
6.0 x 10^6 in scientific notation
Answers
Answer:
6,000,000
Step-by-step explanation:
the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)
3n + 75 = 50 + 2n what does the n equalin the equation
Answers
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
The simple process of counting the number of observations (cases) that are classified into certain categories is called
Answers
Answer:
tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.
Step-by-step explanation:
Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?
Answers
Answer:
Each journal costs $2.48
Step-by-step explanation:
Let X be the cost of a single journal.
You can write this equation to represent the problem:
26x = 64.48
(26 times the cost of the journal is $64.48)
Then just solve for x by dividing both sides by 26:
[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]
Each journal costs $2.48
can some one help me
Answers
Answer:
y=x-3
Hope This Helps!!!
Helppppppppppp asapppppppppppp
Answers
Answer:
Step-by-step explanation:
First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):
c = 13.0321
Then plug that into the area formula to get:
(0.5)(10)(12)(0.225496911)
Which is about:
13.53
Select the function that is odd.
A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)
Answers
x/7 + y/5 =12
2x/5 - y/7 =9
Answers
Answer:
x = 35 ,y = 35
Step-by-step explanation:
x = 35
y = 35
The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?
Answers
Answer:
Khaled made 16 baskets.
Step-by-step explanation:
3 12
-- = ---
4 x
12 / 3 = 4
4 x 4 = 16
x = 16
Need help with this pls asap
Answers
Answer:
x=3-2i
Step-by-step explanation:
According to my calculations, this should be good
28. Overhead Projectors Your teacher draws a circle on an overhead projector.
The projector then displays an enlargement of the circle on the wall. The circle
drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet.
What is the scale factor of the enlargement?
a
Answers
A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:
scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]
In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.
Thus;
diameter of circle = 2 * 3
= 6 inches
But;
1 feet = 12 inches
So that;
x = 6 inches
⇒ x = [tex]\frac{6}{12}[/tex]
= [tex]\frac{1}{2}[/tex]
x = 0.5 feet
Thus, the diameter of the circle is 0.5 feet.
So that;
scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]
= 0.125
scale factor = [tex]\frac{1}{8}[/tex]
The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
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Suppose that a department contains 8 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men
Answers
A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches
Answers
Answer:
Step-by-step explanation:
(450 miles/3 inches) = 150 miles/inch
(1,250 miles)/(150 miles/inch) = 8.3333 inches
When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
On scale 3 inches represents the actual distance = 450 miles.
To find the distance on scale when actual distance = 1350
Since, 3 inches = 450 miles
1 inch = 450 / 3 = 150 miles
150 miles = 1 inches
1 mile = / 1/ 150 inches
1350 miles = 1350 / 150 inches = 9 inches
The required distance on scale is 9 inches.
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The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?
Also, Write the Recursive Rule fo the seqeunce from above ^
Answers
Answer:
a₆ = - 486
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 3 , then
a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486
The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2
Carswell has a spinner with three equal sections labeled Stop, Go, and Wait.
He spins the spinner three times. How many outcomes are in the sample space of the experiment?
Answers
The outcomes are
(Stop,Go,wait)(Stop,Stop,Stop)(Stop,Go,Stop)(Stop, wait,Stop)(Stop,Stop,Wait)(Wait,Stop,Stop)(Go,Stop,Stop)(Go,Go,Go)(Wait,Wait,Wait)Total Outcomes=3×3=9
Enter the percent as a fraction. Then enter the fraction in simplest form.
Answers
Answer:
1/25
Step-by-step explanation:
Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25
AYOOOO HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Value of x= `
4x+5y-6z =2
x= (2-5y+6z) divided by 4
For example : if x is 2.5
2.5 = 2 - 5x2 + 6x3
does anyone know the answer to this? thank you!
Answers
Answer:
[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]
a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3
Answers
Answer:
he would do 9 weeks of school
Step-by-step explanation:
count by fives
I need help with this what is 4x58
Answers
Answer:
232
Step-by-step explanation:
4*58=232
In carbon dioxide molecules, for every 2 oxygen
atoms there is 1 carbon atom. How many oxygen atoms
combine with 50 carbon atoms to form carbon dioxide
molecules?
Answers
Answer:
100 oxygen molecules simple math
PLEASEEEEEEE HELP ME GUYS!!
Answers
Solve each equation by completing the square.
X^2 +2x-5=0
N^2-20n+2=4
Answers
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
7. Write an inequality that matches the graph shown.
Answers
Step-by-step explanation:
first, we define the line.
the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).
the y-intercept is 2.
so, the line is
y = -3x + 2
now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.
the line is not included.
therefore the inequality is
y < -3x + 2 or 3x + y < 2
Which is not a way to write the answer to this problem?
Answers
Answer:
D. 887 ÷ 43 ≈ 21
Step-by-step explanation:
what is |-9| i need help
Answers
Answer:
9
Step-by-step explanation:
absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5
Which ordered pair is NOT in the solution set of −2x + 3y ≥ 12?
A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)
Answers
Answer:
B
Step-by-step explanation:
GIVING BRAINLIEST
Wynter likes to take the long way to school each morning. He walks 4 blocks south and then 4 blocks west to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 320 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.
Answers
Distance travel by Drew = 1,315.21 feet (Approx)
Step-by-step explanation:
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
Distance travel by Drew = 1,315.21 feet (Approx)
What is distance?Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
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