Answers
Answer:
∠ABC = 55°
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line (AC) intersects a set of parallel lines (m and n) in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
⇒ ∠BAC = ∠DCA
⇒ ∠BAC = 50°
The interior angles of a triangle sum to 180°
⇒ ∠BCA + ∠BAC+ ∠ABC = 180
⇒ 75 + 50 + ∠ABC = 180
⇒ ∠ABC = 180 - 75 - 50
⇒ ∠ABC = 55°
Related Questions
Explain what the following statement means:
Polynomials are closed under the operations of addition and subtraction.
Provide one addition example and one subtraction example to demonstrate.
a set is closed under certain operation if the operation performed on two elements of the set gives an element of the same set
addition,subtractio sa well as multiplication of polynomials result into another polynomial.Therefore,the set of polynomials is closed under addition,subtraction and multiplication.
division of a polynomial need not be a polynomial (sometimes it is ,but not always).Therefore,the set of polynomials is not closed under division.see the example in the box beside.
Sample Response: If you add two polynomials, the sum is always a polynomial. Example: (2x2 + 3x) + (8x2 - 4x) = 10x2 - x If you subtract two polynomials, the difference is always a polynomial. Example: (2x2 + 3x) - (8x2 - 4x) = -6x2 + 7x
Compare your response to the sample response above. Did your response …
… explain what closure means for addition and give an example?
… explain what closure means for subtraction and give an example?
Answers
Polynomials are the algebraic expressions that consist of variables and coefficients.
How to explain the polynomial?
The Closure property of addition states that in a defined set, for example, the set of all positive numbers is closed with respect to addition since the sum obtained adding any 2 positive numbers is also a positive number which is a part of the same set.
Closure property of subtraction states that if any two real numbers a and b are subtracted from each other, the difference or result will be a real number as well. For example, 9 - 4 = 5.
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can someone give me the step by step for 10
Answers
x^2 = (16)^2 + (16)^2
x^2 = 256 + 256
x^2 = 512
x = 16√2
Denver is growing at a rate of 1.8% per year and has a population of 700 thousand people. Write a recursive formula to represent the Denver scenario.
Answers
7000_1.8%=61.2%this is the answer
Math Due soon pls help :)
HELP A BRUVUH OUT
Answers
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Answer: Choice C
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
9. Find the midpoint of the segment having endpoints (4.1,−6.6) and (6.6,−4.1).
Answers
Answer: [tex]\displaystyle (5.35, -5.35)[/tex]
Step-by-step explanation:
We will use the midpoint formula. See attached or view below.
What does this formula do? We are, essentially, finding the average for the x-values and y-values.
[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]
[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]
[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]
[tex]\displaystyle (5.35, -5.35)[/tex]
Desmis Unit 7 Practice Day 1
Answers
The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The measure of angles are given as,
A 90 degree angleA 100 degree angleA 30 degree angleTo create a triangle with these angles, the sum should be equal to 180 degree of three angles.
90+100+30 > 180
90+90+30 > 180
90+90+100 > 180
100+100+30 > 180
30+100+30 < 180
30+90+30 < 180
There is no combination of angles, which is equal to the 180 degree.
Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
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Please help me asap :(
Answers
Answer:
Total surface area=
304+9pi
~= 332.3
Step-by-step explanation:
Surface area is the areas of all the parts/sides/surfaces of the shape all added together.
There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.
The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)
BOTTOM: 8×10 =80
SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.
There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80
For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.
CIRCLE (under the dome):
Area of a circle is A=pi•r^2= pi•3^2
A = 9pi
So the flat TOP is:
80 - 9pi ~= 51.7
The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.
DOME =
4pi•3^2•(1/2)
= 4pi•9•(1/2)
= 18pi
~= 56.5
Now add up all the pieces:
80+64+80+80-9pi+18pi
= 304+9pi
~= 304 +28.3
= 332.3
Can you guys help me find x and y, please
-2x -5y = 16
2x -3y = -16
-5x + 2y = 11
-3x + 4y = -13
Answers
Answer:
sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)
the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)
the third one for -5x+2y=11 for x is NONE and y is 8
the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)
Step-by-step explanation:
Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
Answers
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
Need help asap!!!!!??????
Answers
Answer:
x=8
Step-by-step explanation:
the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.
4^2 = 2x
16=2x
16/2 =x
8=x
the quotient of a and b
Answers
Step-by-step explanation: and that should give you your answer and if not please feel free to mesage me.
joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find the density of tulips
for the area of the bed. round to the nearest tenth if necessary.
Answers
Answer:
the answer is 15
Step-by-step explanation:
density= total population/surface area
density= 375/5^2
density=375/25=15
Write the quadratic equation in standard form:
-3x^2-16=−3x
Answers
Answer:
3x² - 3x + 16 = 0
Step-by-step explanation:
Standard form :
Ax² + Bx + C = 0Solving :
-3x² - 16 = -3x3x² - 3x + 16 = 0Standard form ax²+bx+c=0
-3x²+3x=16-3x²+3x-16=03x²-3x+16=0Done
Select the table that represents a linear function.
Answers
Answer: C.
Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.
samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)
Answers
Answer:
Zero
Step-by-step explanation:
Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero
the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192
Answers
Answer:
48
Step-by-step explanation:
12*4=48
I'm having a little trouble with it,
Answers
Answer:
Each person received 3 slices and 3 are left
Answer:
D) Each person receives 3 slices, and there are 3 slices left over
Step-by-step explanation:
If each pizza was cut into 8 slices, then there were 3*8=24 slices.
If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.
Help me please help me
Answers
Answer:
m = -10.7
Step-by-step explanation:
m + 4.1 = -6.6
Subtract 4.1 from both sides:
m + 4.1 = -6.6
- 4.1 - 4.1
m = -10.7
Final answer: m = -10.7
Hope this helps!
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form
Answers
Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
NEED THE ANSWER NOW 50 POINTS PLEASE HELP!
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } [/tex]
Now, let's get the common terms out :
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} [/tex]
cancel out the common terms in numerator and denominator
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } [/tex]
So, the correct choice is C
PLLLLEASE help- geometry
Answers
Answer: Reflection, translation
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINEST!!!
Answers
Answer:
0,5
Step-by-step explanation:
A refreshment company had declared that their soda drink is 250 oz. A group of students in CNHS wants to prove that the soda is less than advertised. They took 100 of such sodas in their study.
Answers
Answer:
200^2
Step-by-step explanation:
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints? A. 48 ft^2 B. 64 ft^2 C. 96 ft^2 D. 112 ft^2
the measurements are 4,4,6 and 3
Answers
Answer:
^2D its because the shed has only two faces
I need help on this problem
Answers
Answer:
45, 135
Step-by-step explanation:
9x + 12x + 75 = 180
21x + 75 = 180
21x = 180 - 75
21x = 105
x = 105 / 21
x = 5
9 x 5 = 45
12 x 5 + 75 = 135
PLEASE HELP!!!!!!!!!!!!!
Answers
no lo sé, pero como necesito puntos, ¿sí?
How to evaluate this question
Answers
Refer image for working :-
Drop comments if any doubt arises.
Answer:
[tex] {2x}^{3} - 3yz[/tex]
x=-1; y=-2 and z=3[tex]2 {( - 1)}^{3} - 3( - 2)(3)[/tex]
[tex] - 2 +6(3)[/tex]
[tex] - 2 +18[/tex]
(-)+(+)=(-)
[tex]-16[/tex]
Which is the
slope-intercept form of the equation of the line with a slope
of -3 and a y-intercept of -1?
O y + 3 = -1(x-0)
Oy=-3x - 1
O y = 3x + 1
O y = 3x - 1
Answers
Answer:
I think its B
Step-by-step explanation:
What are the values y = 3x
Answers
Answer:
when x=1
y= 3 × 1 = 3
when x=2
y= 3 × 2 = 6
when x=3
y= 3 × 3=9
i hope my answer was helpful and please mark me as brainliest
Corresponding Angles are congruent. Which angle corresponds with
Answers
Answer:
Angle<8 corresponds with angle<3
Step-by-step explanation:
Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,
Angle 1 and Angle 6 are corresponding angles
Angle 3 and Angle 8 are corresponding angles
Angle 2 and Angle 5 are corresponding angles
Angle 4 and Angle 7 are corresponding angles