Answers
Answer:
30
Step-by-step explanation:
Look at the image I attached for reference as I explain. (I only labeled the angles that are relevant to the problem)
These triangles are congruent, as shown by the first equation.
When triangles are congruent, it means that the sides and angles are the same.
We can see that angles ∠ABC and ∠DEC are corresponding, which means that they have the same value.
We don't know ∠DEC, but we have two angles in that triangle that we do know. Since the angles in a triangle add up to 180, we have this equation:
180-65-55=∠DEC
60 = ∠DEC
So now we know that ∠DEC is 60 degrees.
Since ∠ABC and ∠DEC are equal:
2x=60.
Divide both sides by 2, and we get x =30.
Related Questions
Find the sum of the digits in the product of: 1001x1001x1001
Answers
Answer:
1003003001
Step-by-step explanation:
1001x1001x1001=1003003001
Answer:
1,003,003,001
Step-by-step explanation:
[tex]1001^3=1,003,003,001[/tex]
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
true
false
Answers
The solution is, the following statement is, False.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
given that,
Triangle ABC is similar to triangle WYZ.
now, we get,
Corresponding angles in similar triangles are congruent.
The similarity statement tells you angle B corresponds to angle Y,
so those angles are congruent.
The sines of congruent angles are identical.
so, we have,
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Hence, The solution is, the following statement is, False.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ3
Steve built a square hamster pen that has a perimeter of 240 centimeters.
Answers
Answer:
What's the question?
Step-by-step explanation:
Answer: I also need answer for this question
Step-by-step explanation:
Any body got
HELP QUICK PLS :’( What is the equation of the line that goes through (2, 2) and is perpendicular
to y = 5x + 3?
Answers
Answer:
b
Step-by-step explanation:
explanation:
On wednesday 72% of the customers who bought gas at a gas station mad additional purchases. There were 250 customers who bought gas. how many of these 250 customers made additional purchases?
Answers
180
Explanation:
72% of 250 equals
0.72 x 250
Hope this helps!
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Answers
Answer:
0-0
Step-by-step explanation:
oof- hard stuff
will someone answer this please?
Answers
Answer:
True
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
This might help you remember. A function is a relation where no input numbers are repeated. Even if output numbers are repeated it's still a function. I really hope its helpful!
BRAINLIEST!!
which statement correctly compares the function y = 5x + 5
Answers
Solved Correct Answer B ( conjucted with association of y= 5x + 5 - Graphed (0,5)
You need to know how far you are away from the lighthouse.
You use a range finder to find the distance from the sailboat to the lighthouse light is 245 yards.
For angle B, chose an angle measure between 25° and 45°: __________
Based on the above information, find the distance from the sailboat to the island where the lighthouse is located.
Answers
Answer:
The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards
Step-by-step explanation:
The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;
The given parameters are;
The distance from the sailboat to the lighthouse's light = 245 yards
The angle of elevation of angle B = An angle chosen between 25° and 45°
For simplicity, we chose, B = 30°
A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house
The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards
By trigonometric ratio, in the we have;
[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
The adjacent leg length = The horizontal distance of sailboat from the light house
[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]
The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927
Therefore;
The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards
Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.
70 pennies decreased by 20%
Answers
Answer:
56 pennies
Explanation:
You should find 20% of 70 to get 14 and subtract that from 70 to get your answer.
Answer:
56
Step-by-step explanation:
The dot plots show rainfall totals for several spring storms in highland areas and lowland areas. What is the median rainfall for the highland storms? What is the median rainfall for the lowland storms?
Answers
Answer:
Median highland = 16 mm
Median lowland = 16 mm
Step-by-step explanation:
For the highland area :
The sample size, n = 44
Obtain the median value using :
1/2 * (n + 1)th term
1/2 * (44 +1) th term
1/2 * 45 = 22.5th term.
(22nd + 23rd) term / 2
(16 + 16) / 2 = 16 mm
For the lowland area :
1/2 * (n + 1)th term
1/2 * (44 +1) th term
1/2 * 45 = 22.5th term.
(22nd + 23rd) term / 2
(12 + 12) / 2 = 12 mm
Answer:
16mm, 12mm
Step-by-step explanation:
on edge got it right
Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00?
25pt
Answers
Maggie can buy 10 pencils, 5 rubber balls, and 3 yo-yos.
You just divide 5.00 but the price of each item to see how much you can buy without spending too much.
Please help! 50 points,, I REALLY need someone to answer these correctly so dont just answer for points pleasseee,,.
Instructions
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet. (you can aslo make something up- as long as its an object that you can find in a house)
Complete ALL OF THESE. Show ALL work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10
Answers
Answer:
I chose a box of cereal-------> rectangular prism
see the attached figure
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Step-by-step explanation:
Can someone help me with this
Answers
ok
A cylindrical cup and a cone both have a radius of 5 cm and a height of 8 cm. What is the approximate difference between the volume of the cup and the volume of the cone? A 133 cm B. 267 cm C. 419 cm D. 628 cm
Answers
Answer:
419
Step-by-step explanation:
Find the volume of the rectangular
prism
[?] units3
18
16
22
Answers
pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp its 22Step-by-step explanation:
the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Answers
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
diameter is 15.3 yards.
Figure A to figure B?
Is that right?
Answers
Answer:
d
Step-by-step explanation: cause thats the only answer that will maked sense
What is the slope of the line?
Answers
Answer:
-3
Step-by-step explanation:
First, you look at which way it is going. From left to right, the line is going down, so the slope is negative. Change in y is 3 and change in x is 1. From any two points on the line, the y value changes by 3 every time the x value changes by 1.
Answer:
-3
Step-by-step explanation:
slope = rise/run
rise = vertical distance
run = horizontal distance
Step 1. Find two easy to read points on the line. Use points on intersections of grid lines.
For example, choose points (0, -3) and (-1, 0).
Step 2. Start at one point, say (0, -3). We must go to the other point using only vertical and horizontal moves. Go up 3 units. That is a rise of +3. It's positive 3 since up is positive. Now go left 1 unit. That is a run of -1. It is negative because going left is negative.
Step 3.
slope = rise/run
slope = 3/(-1) = -3
Answer: slope = -3
The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?
Answer Choices
53 feet
55 feet
120 feet
125 feet
Answers
54) The two-way table below shows the number of hours students studied and whether they studied
Independently or with a study group. What is the relative frequency of students that studied
Independently for more than 2 hours to the total number of students that studied independently?
Answers
Answer:
6
Step-by-step explanation: not 6
A store buys a coat for $120. If they sell it for $180, why is the percent of change?
Answers
Answer: 50%
Step-by-step explanation: [tex]180 - 120 = 60[/tex], [tex]60/120=1/2[/tex] which is [tex]50%[/tex]%.
Hope this helps!
Ted was asked by his Dad to order for new pots for plants. The pots cost $2 each but is on sale at 25% off. If Dad would want him to buy 8 pots, how much will they pay for the entire purchase?
Answers
Please help I'll mark brainliest
Answers
Answer:
okay...... where is the question
10
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 2.
Give your answer as a fraction in its simplest form.
Answers
Answer:
2/1
Step-by-step explanation:
[tex]2 - \frac{21 }{?} [/tex]
Help ASAP I’ll mark you as brainlister
Answers
Answer:
12[tex]\pi[/tex] by 18[tex]\pi[/tex] write it down
Step-by-step explanation:
add it
Answer:
Well I don’t know which one your using but I’m gonna list the two most common ones.
For the π sign The answer is
50.27km^2
For repalcing π with 3.14, the answer is
50.24km^2
Step-by-step explanation:
SO circumference forumla is Diameter*π
Well we have 8π as the circumference
So basically 8π=diameter*π
Since π is the same 8 is the diameter
Area = πr^2
8/2=4 which is the radius
4^2=16
16π now since the answer asks for final answer rounded to the first 2 decimal places.
Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. How many necklaces can she buy?
Answers
Answer:
3 necklaces
Step-by-step explanation:
$40.50-$30.00=$10.50 Subtract her total money and cost of dress
$10.50-$3.50=$6.00 subtract each necklace price from remaining money
$6.00-$3.50=$3.50 keep subtracting price of necklace
$3.50-$3.50=$0 that was 3 necklaces
Un huerto escolar tiene una superficie de 4dam2 500m2 y se requiere dividir en seis parcelas rectangulares de igual area ¿ cuantos metros cuadrados tendra cada parcela ?
Answers
Answer:
Cada parcela tendrá una extensión de 150 metros cuadrados.
Step-by-step explanation:
De acuerdo con el enunciado el huerto escolar tiene una extensión de 4 decámetros y 500 metros cuadrados.
Tengamos presente que un decámetro es igual a 100 metros cuadrados, entonces el huerto escolar tiene un área total de 900 metros cuadrados. Si dividimos esa área en seis parcelas de igual extensión, tenemos que:
[tex]x = \frac{900\,m^{2}}{6}[/tex]
[tex]x = 150\,m^{2}[/tex]
Cada parcela tendrá una extensión de 150 metros cuadrados.
A factory store has two types of machines.
The factory has 6 cutting machines and 4 stamping machines.
Each cutting machine cuts 105 parts every 3 minutes.
Each stamping machine stamps 24 parts every 20 seconds.
One of the cutting machine is shut down for repairs How many parts can the remaining machines cut in
412 hours?
788 parts
2,363 parts
28,350 parts
47,250 parts
Answers
Answer:
c or d maybe d
Step-by-step explanation:
What is the value of z? Plz help
Answers
Answer: 24
Step-by-step explanation: 58 = 2z - 10
58 - 10 = 48 = 2z
z = 24