PERSEVERE The Flatiron Building in New York City is one of America's oldest skyscrapers, completed in 1902. Its floor plan is approximately a
right triangle. As shown in the figure, 5th Avenue is perpendicular to East 22nd Street, and m 2B is 10 less than 3 times mLC.
a. find the angle measures in the floor plan ( measure of A, B, and C )
b. find measure of BCD in two ways. explain each method in simple terms.
Answers
Answer:
a. (A, B, C) = (90°, 65°, 25°)
b. BCD = 155°
Step-by-step explanation:
The interior acute angles of the right triangle can be found by writing an equation representing the relation between them. The exterior angle can be found using the relations between exterior angles and interior angles.
__
a.Angle A is given as a right angle, so measures 90°. Let C represent the measure of angle C in degrees. Then angle B has measure 3C-10. Those two angles are complementary, so ...
C +(3C-10) = 90
4C = 100
C = 25
B = 3(25) -10 = 65
The angle measures are ...
A = 90°B = 65°C = 25°__
b.Angle BCD is the exterior angle adjacent to interior angle C. As such, it is supplementary to angle C:
BCD = 180° -C = 180° -25° = 155°
An exterior angle is equal to the sum of the remote interior angles. That means ...
BCD = A +B = 90° +65° = 155°
_____
Additional comment
An exterior angle is equal to the sum of the remote interior angles, because both the exterior angle and the sum of the remote interior angles are supplementary to the adjacent interior angle. Angles supplementary to the same angle have the same measure.
Answer:
part b is 155
Step-by-step explanation:
Related Questions
if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?
Answers
Answer:
Step-by-step explanation:
Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.
f(x) = x^2
f(x + 4) = (x + 4)^2
To show you this in graphical form, see below.
Red: f(x) = x^2
Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph
Casey wanted to find the intercepts of the graph of the equation 10x+4y=20. He decided to put the equation in slope-intercept form first. Here is his work:
10x+4y=20
4y=20−10x
y=20−10x4
y=5−10x
He concluded that the slope is m=12 and the y-intercept is (0, 5).
What error did Casey make? Within your explanation, give the correct solved for y equation, the correct slope, and the correct y-intercept.
Answers
Answer:
made a mistake in step 3
Step-by-step explanation:
there, he should have gotten y=5-2x which is then translated to y=-2x+5
this means the y-intercept is correct, but the slope is actually -2
When you have coordinates of two points A(1, 2) and B(2,6) slope is:
Answers
Answer: 4
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
Let's solve ~
Surface area of Cylinder :
[tex]\qquad \sf \dashrightarrow \:2\pi r(r + h)[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \pi \times 5(5 + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 \pi(9)[/tex]
[tex]\qquad \sf \dashrightarrow \:90 \pi[/tex]
Can anyone solve this correctly?
Answers
Answer:
24 cm³
Step-by-step explanation:
The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:
V = BH
V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³
The volume of the prism is 24 cubic centimeters.
_____
Additional comment
Note that this is half the volume of a rectangular prism of the same dimensions.
X= 15+yx+2y =51solve the system using elimination
Answers
Answer:
Im not going to give u an answer, but i will help u get the answer.
Step-by-step explanation:
there is a algebra problem solver called symbolab it really helps
Find the area. Please help me with this problem:)
Answers
Answer:
132 square feet
Step-by-step explanation:
If you need an explanation, just ask.
Hope this helps! Pls give brainliest!
ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.
Number of Days per person.
And days
How many people who were surveyed exercised fewer than 4 days last week?
12
14
16
18
Answers
Answer:
16
Step-by-step explanation:
2 from 3 days
another 2 on 2 days
5 for 1 day
7 for 0 days
2+2+5+7= 16
Prove that the side lengths 3, 9, and 12 do not represent a right triangle. Make sure to include ALL calculations.
Answers
Step-by-step explanation:
a^2+b^2=c^2
3^2+9^2 not equal to 12^2
What is the least common denominator of
7/9 and 17/18?
Answers
Answer:
18
Step-by-step explanation:
9 can be multiped by 2 to get to 18 :)
The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how much is the car work by the time it is paid off by the time it is paid off 5 years later?
Answers
The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.
What is the worth of the car?When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:
FV = P (1 - r)^n
FV = Future value P = Present value R = rate of decline N = number of years$42,000 x (1 - 0.048)^5 = $32,842.34
To learn more about future value, please check: https://brainly.com/question/18760477
100 BRAINLY POINTS!!!
Sean conducted a survey among his classmates to determine if there was an association between how much
they like math and how much they like their math teacher. He asked his classmates to use a rating scale of 1
to 5, where 1 is the lowest and 5 is the highest. Sean graphed the ratings data from his survey on this scatter plot.
Based on this scatter plot, which statement is true?
A. There is a cluster of data that shows no relationship between how much Sean's classmates like math
and how much they like their math teacher.
B. There is an outlier in the data that shows no relationship between how much Sean's classmates like
math and how much they like their math teacher.
C. There is a positive linear association between how much Sean's classmates like math and how much
they like their math teacher.
D. There is a negative linear association between how much Sean's classmates like math and how much they like their math teacher.
HURRY PLEASE
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Answer:
I think Option C is the correct answer
I think it will help you.
(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
Answers
ANSWER: 202.46 if you need all the question answers just ask :D
Find the amplitude and period of y = 5 cos (4x)
Answers
Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️
Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.
How many batches of cookies can she make?
Answers
Answer:
15 batches of cookies
Step-by-step explanation:
We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3
When dividing fractions, use KFC:
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies
Hope this helps!
Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
Answers
Answer: The answer is ASA I got it right
Step-by-step explanation:
brainliest pls <3
Math homework pls helps!!
Answers
12
Step-by-step explanation:
[tex] \sqrt{ - 72k} \\ \\ = \sqrt{ - 72( - 2)} \\ \\ = \sqrt{144} \\ \\ = 12[/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
=12
I NEEED HELLPPP write this using exponents question
Answers
Answer:
D. [tex](-2)^6[/tex]
Step-by-step explanation:
There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.
You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.
help pls wrong answers will be reported
Answers
Answer:
Functions A and B have the same y-intercept.
Step-by-step explanation:
Their functions both have a y-intercept of 2. These are what they look like when graphed.
Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?
Answers
Answer:
25%
Step-by-step explanation:
First, divide 91 by 364
91/364 = 0.25
Multiply this answer by 100
0.25 × 100 = 25%
This gives you what percent of 364 that 91 is
So it is a 25% decrease
A ball is placed in a machine that throws the ball up in the air. The table represents some points on a graph of a function that models the ball’s distance from the ground with respect to the time since the ball was thrown. What is the range for this situation?
Answers
By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.
What is the range in the situation?For a relation y = f(x), we define the range as the possible values of y.
In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.
Then y can take all the values between 0 and 7.66, meaning that the range is:
R : [0, 7.66]
Then the correct option is the last one.
If you want to learn more about range, you can read:
https://brainly.com/question/10197594
Complete two expressions that have the same product as 3 x 5. 12
__________ x
1
12AND __________ x
3
12
Answers
The two expressions that would have the same product as 3.5 x 5.12 are:
184.32 x 1/12
76.8 x 3/12
What is the product of the a number?
The product of a number is the value that is derived when two or more numbers are multiplied by each other.
Product of 3 and 5.12 is 15.36.
In order to determine what number should be multipled by 1/12 to yield 15.36, multiply 15.36 by 12: 15.36 x 12 = 184.32
In order to determine what number should be multipled by 3/12 to yield 15.36, multiply 15.36 by 4: 15.36 x 4 = 76.8
To learn more about multiplication, please check: https://brainly.com/question/13814687
Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?
Answers
Hope this helps you
Good luck
The number 175 is 25% of what number?
Answers
Answer:
700
Step-by-step explanation:
If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Answer: 700
Step-by-step explanation:
175 * 4 = 700
700 / 4 = 175
2
Plot the points (2, 4) and (2, -8) on the
coordinate plane below.
What is the distance between these two
points?
units
Answers
Answer:
12 units
Step-by-step explanation:
Applying the distance formula, [tex]\sqrt{(x_{2}- x_{1})^{2} + (y_{2}- y_{1})^{2} }[/tex], you get [tex]\sqrt{(2-2)^{2} +(4+8)^{2}}[/tex] = [tex]12[/tex] units.
What is a necessary step for constructing perpendicular lines through a point on a line?
O Draw a line that intersects the first line at an acute angle using a straightedge.
O Draw a ray that intersects the first line at an acute angle using a straightedge.
Draw arcs on either side of a given point on the line,
Draw ares on either sig, of a given point of the line
Answers
A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.
What is a perpendicular line?A perpendicular line simply means the lines that intersect at 90 degrees.
In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.
Learn more about perpendicular lines on:
https://brainly.com/question/2531713
Answer:nj
Step-by-step explanation:
j
y=|x-3|+|x+2|-|x-5| if x < -2
what does y equal
Answers
Answer:
y= |x-3|+ |x+2|-|x-5|; x<-2
y=-2
A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?
Answers
Answer:
40/10
Step-by-step explanation:
The amount of water needed to fill the fish tank to the top is 400 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the fish tank be = V
Let the base area of the rectangle be A = 40 inch²
Let the height h of the rectangle be h = 10 inches
Now , the volume of the vase = volume of fish tank
So , the volume of fish tank is calculated from the formula,
Volume of fish tank = base area of the rectangle x height h of the rectangle
Substituting the values in the equation , we get
Volume of fish tank = 40 x 10 inch³
On simplifying the equation , we get
Volume of fish tank = 400 inch³
Therefore , the value of V is 400 inch³
Hence ,
The amount of water needed to fill the fish tank to the top is 400 inch³
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ2
33.33333 rounded to the nearest tenth
Answers
Answer:
33.3
Step-by-step explanation:
since it's 3 and not higher than 5 the value would be rounded down
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.
Answers
Answer:
1/9
Step-by-step explanation:
1/3 x 1/3 =1/9
so
1/3 divided by 1/3 is 1/9