Answer:
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
The correct question is attached.
Linear pairs angles are angles which are formed from the intersection of two lines and they are adjacent to each other. Linear pair angles are supplementary.
If angles are supplementary to the same angle, then they are congruent.
∠1 and ∠3 are vertical angles
∠1 and ∠2 form linear pairs while ∠2 and ∠3 form linear pairs. Therefore:
m∠1 + m∠2 = 180° (linear pair angles are supplementary)
m∠2 + m∠3 = 180° (linear pair angles are supplementary)
Hence using transitive property of equality:
m∠1 + m∠2 = m∠2 + m∠3
Using subtraction property of equality by subtracting m∠2 from both sides gives:
m∠1 = m∠3
∠1 ≅ ∠3 (vertical angles are congruent)
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Somone please help I am completely lost...
MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?
Answer:
$1200
Step-by-step explanation:
Let the roof be square shaped
Area of the roof = L²
L is the side length of the roof
Given
L = 40ft
Area of the roof = 40²
Area of the roof = 1600ft²
If plants used for a green roof cost $0.75 per square foot, this means
1 ft² = $0.75
Let the cost needed to cover both sides of the roof be y, hence;
1600ft² = y
Divide both expressions
1/1600 = 0.75/y
y × 1 = 0.75×1600.
y = 0.75×1600
y = 1200
Hence it will cost $1200 to cover both sides of the roof
two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle?
Answer:
The measurement of the third angle would be 139 degrees.
Step-by-step explanation:
Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.
I hope this helps!
por qué 80 entre 5 sale 16
Answer:
I dont understand spanish
Step-by-step explanation:
SOMEONE HELP ME PLEASE. What is the missing number in the synthetic-division array?
-1
3
-1
-4
-3
-7
2
7
9
3
-10
Answer:
-9
Step-by-step explanatio
what is black and white and has a lot of problems
Answer:
math book
Step-by-step explanation:
Find The Area...
HURRY
Answer:
40in long your welcome I hope /his helps
1. Rory works as a drilling foreman
on an oil rig. He recorded the
depth of the drilling site and
displayed the data in a graph.
А
Drilling Depths
200
-150
Metres
-100
:50
Day 5 Day 10 Day 15 Day 20 Day 25
Days
Determine the approximate
drilling depths for each day.
a) Day 1
b) Day 28
c) Day 6
d) Day 12
Answer:
esa esdjsjaoqsknwkww0w
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.59.
A. c(p) = p + 0.59
B. c(p) = 59p
C. c(p) = p/0.59
D. c(p) = 0.59p
Answer:
D. c(p) = 0.59p
Step-by-step explanation:
The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is C(p)=0.59p
The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is,
c(p) = ($0.59)p
We multiply the number of pounds of sugar, p, time the cost per pound ,.59, to get the total cost
c(p) = .59*p
PLEASE HELP ME :(
Brain has two rectangular sheets of paper.
-The length of the larger sheet is 1 1/2 times the length of the smaller sheet.
-The width of the larger sheet is 1 3/5 times the width of the smaller sheet.
By what factor is the area of the larger sheet greater than the area of the smaller sheet?
Answer:
2.4
Step-by-step explanation:
Smaller sheet length = 10u
Smaller sheet width = 10u
Smaller sheet area = 10u * 10u = 100u^2
Larger sheet length = 1.5 * 10u = 15u
Larger sheet width = 1.6 * 10u = 16u
Larger sheet area = 16u * 15u = 240u^2
240u^2 / 100u^2 = 2.4
The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.
Calculation of the factor:Since
Smaller sheet length = 10u
Smaller sheet width = 10u
Now
Smaller sheet area = 10u (10u) = [tex]100u^2[/tex]
And,
Larger sheet length = 1.5 ( 10u) = 15u
And,
Larger sheet width = 1.6 (10u) = 16u
So,
Larger sheet area = 16u (15u) = [tex]240u^2[/tex]
Now
[tex]= 240u^2 \div 100u^2[/tex]
= 2.4
hence, The factor when the area of the larger sheet greater than the area of the smaller sheet should be considered as the 2.4.
Learn more about an area here; https://brainly.com/question/17870032
What is the expanded form for the following number? 3,721
Answer:
3000 + 700 + 20 + 1
Step-by-step explanation:
3721 = 3000 + 700 + 20 + 1
3. Identify the pair of angles,
2
O complementary
supplementary
neither
Answer:
I am almost positive it is Complementary.
Step-by-step explanation:
Sorry if i am wrong please let me know if i am.
State the slope and y-intercept of the graph of y+2x=3
Answer:
Slope(m)=2x
y-intercept(b)=3
Step-by-step explanation:
Answer:
Slope is -2x, Y-Intercept is 3
Step-by-step explanation:
You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides
Between which two consecutive integers
is 140
-?
2
The value of the square root of 140 lies between 11 and 12. The square root of 140 is 11.83
in the diagram below, de is parallel to xy. what is the value of y
Danny has a rectangular rose garden that measures 8m by 12.5m. One bag of fertilizer can cover 16m2. How many bags will he need to cover the entire garden?
Answer:
do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3
Step-by-step explanation:
£288 in the ratio 1:3:4
Answer:
36:108:144
Step-by-step explanation:
288 / 8 = 36
36 x 3 = 108
36 x 4 = 144
How many square meters are enclosed in the track?
Answer:
For this case using the figure attached we can separate the total area in 3 parts.
For this case and represent the area for a semicircle and the A2 represent the area for a rectangular figure.
We can find the individual areas like this:
For the rectangular shape we have:
And the total area would be:
Replacing we got:
Step-by-step explanation:
Answer:
for me on my test its 40L 60m and so the length time width will get you 2.4k, 2400 square meters
Step-by-step explanation:
60x40
Help will mark Brainliest
Answer:
To find the slope, use the formula rise/run or change in y/change in x
In this case, the slope is 5
To find y-intercept, substitue values for x and y
Step-by-step explanation:
-3 = 5(2) + b
-3 = 10 + b
-10 -10
-13 = b
Therefore, b is -13
So here's how the equation looks in slope-intercept form
y = 5x + -13
PLEASE HELP AND EXPLAIN!!!!! thank you, appreciate it!!
A cylindrical pan has the dimensions shown below
A formula for the volume of a cylinder is 48x8 . Which equation best represents 9x8 , the area of the base of this pan in square inches?
A 77x32
B 60x14
C 61x12
D 95x30
Answer:
[tex]B = \pi (3\frac{1}{2})^2[/tex]
Step-by-step explanation:
Given
[tex]D = 7\ in[/tex]
[tex]H = 2\frac{3}{4}\ in[/tex]
See attachment for question and options
Required
Which best describe the base area of the pan
The base area (B) is calculated using:
[tex]B = \pi r^2[/tex]
Where
[tex]r = \frac{1}{2}D[/tex]
So, we have:
[tex]r = \frac{1}{2}*7[/tex]
[tex]r = \frac{7}{2}[/tex]
[tex]r = 3\frac{1}{2}[/tex]
Substitute [tex]r = 3\frac{1}{2}[/tex] in [tex]B = \pi r^2[/tex]
[tex]B = \pi (3\frac{1}{2})^2[/tex]
(a) is correct
Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.
m-6=10
What does m equal?
Answer:
16
Step-by-step explanation:
add 6 to 10 to get m on its own
PLEASE HELP SMART PEOPLE I WILL MARK BRAINLIEST ANSWER BOTH PLEASE
Answer:
1 The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
Step-by-step explanation:
There are 120 cars in a grocery store parking lot. The probability that a car selected at random is white is 18.How many of the cars in the parking lot are white?
A 8
B 15
C 30
D 105
Answer:D
Step-by-step explanation:
If you subtract 120-18 it is 102 and 105 is the closest feel free to correct me if I'm wrong.
What is the explicit
equation for this
series?
2, 8, 14,
Answer:
2-8x14
Step-by-step explanation: hope this helpss !!
Answer:
6
Step-by-step explanation:
8-2=6
14-8=6
A family of four went out to dinner. The bill for dinner was $93.07. The family decided to
leave a 15% tip. What was the total expense?
Answer: Down below. Also rounded up with whole dollar.
Step-by-step explanation:
Tip Total:$ 13.96
Tip Each Person:$ 3.49
Total (Bill + Tip):$ 107.03
Total Each Person:$ 26.76
If you round up to the whole dollar.
Tip Total:$ 14
Tip Each Person:$ 4
Total (Bill + Tip):$ 108
Total Each Person:$ 27
The radius of a circle is 5 cm. What is the radius of another circle whose area is 25 times that of the first one?
Answer:
Step-by-step explanation:
a₁ = πr₁⁵ = 25π cm²
a₂ = 25(25π) = 625π cm²
r₂ = 25 cm
Please help! I’m stuck on this
Answer:
i don’t see anything
Step-by-step explanation:
did you write something? because i can’t see it.
Suppose that 14 inches of the wire cost 42 cent. At the same rate, how much ( in cent) will 7 inches, of wire cost
Answer:
21 cents
Step-by-step explanation:
All you have to do is divide 42/2
Becuase 14 is 7 doubled
Find m∠STU and m∠TUA
Answers:
angle STU = 65 degreesangle TUA = 123 degrees=========================================================
Explanation:
Let's find the expression for angle TUS in terms of x
Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees
(angle TUS) + (angle TUA) = 180
angle TUS = 180 - (angle TUA)
angle TUS = 180 - (11x + 2)
angle TUS = 180 - 11x - 2
angle TUS = -11x + 178
Now focus on the interior angles of triangle TUS. We have these three angles
T = 5x+10U = -11x+178S = 58For any triangle, the interior angles always add to 180, so,
T+U+S = 180
(5x+10) + (-11x+178) + (58) = 180
(5x-11x) + (10+178+58) = 180
-6x + 246 = 180
-6x = 180-246
-6x = -66
x = -66/(-6)
x = 11
Use this x value to find the angle measures we're after:
angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degreesangle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees--------------------------
As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.
In this case, we would say
(angle STU) + (angle TSU) = angle TUA
that leads to the equation
(5x+10) + (58) = 11x+2
Solving this should lead to x = 11 to generate the angles mentioned earlier.