Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?
Answer:
40 papers
Step-by-step explanation:
6 x 10 = 60
100- 60 = 40
Maria is saving for a scooter that costs $170. She has $54 already. She gets an allowance of $8 each week. How many weeks w will it take for Maria to save at least enough money to buy the scooter? Write an inequality to represent the situation.
What is the straight-line distance between (-2, -7) and (-4, -9) on a coordinate graph?
Answer:
yeah, the selected is correct
Step-by-step explanation:
distance is...
2 and 2 square root
A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car
Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
From the given function in terms of D the elevation of the car above sea
level can be determined.
Responses:
The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.How can the linear function for the slope and intercept be interpreted?Given:
The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;
Elevation above sea level = 7500 - 250·D
Where;
0 ≤ D ≤ 6
Required:
The meaning of the slope and intercepts of the graph of the function.
Solution:
From the given linear function, of the elevation of the car, we have;
The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.Learn more about linear functions here:
https://brainly.com/question/4025726
Can someone please help me with #2,3,5 ( for Brainliest)
Answer:
2) m∡1 = 100°
3) m∡2 = 40°
4) TD
5) m∡1 = 67°
Step-by-step explanation:
473hours to days and hours
Answer:
19 days and 17 hours
Step-by-step explanation:
hello help please i’ll mark brainliest!!!
Answer:
Consisting of billions of galaxies
Step-by-step explanation:
Use the iterative formula xn+1 = 4 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places.
Question 15
Elizabeth goes to a restaurant where her
bill comes to $18.50. The restaurant
charges a 7% tax on the bill. She leaves
the server a 15% tip on the bill. How
much will Elizabeth pay in total?
-please answer I am currently on a test right now plz also show your work so I can get full credit :)
Answer:
The answer is $22.77.
Step-by-step explanation:
15%=$2.97
7% tax= $1.30
18.50+1.30=19.80
2.97+19.80=22.77
Total: $22.77
Please help me I don't knoe
Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
[tex]7\sqrt{3}[/tex] or 12.12
Step-by-step explanation:
The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = [tex]7\sqrt{3}[/tex] or 12.12
what is the 10 time tables
Answer:
ugh wdym like 10 20 ,30 40 and so on ....
Answer10 20 30 40 50 60 70 80 90 100 110 120
Step-by-step explanation:
10x1=10
10x2=20
10x3=30
10x4=40
10x5=50
10x6=60
10x7=70
10x8=80
10x9=90
10x10=100
10x11=110
10x12=120
PLS HELP ME I NEED TO HAND IN ALL MY WORK BY TOMORROW:(
100 increased by 99%
Answer:
100 increased by 99% is 199
Answer: 199
Step-by-step explanation: i asked siri
Pls can someone help me ? It’s urgent :((
Answer:
c.40
Step-by-step explanation:
........................
I have a trick for parallelograms and the formula is...[tex]\frac{b*h}{2}[/tex]
Yes the rectangle formula also wrks for parallelograms!!! You just gotta chop one end up and stick it on the other side!
So it is 5*8/2=20
I need help with this question , 13 + 7x = 27
Answer:
x=2
Step-by-step explanation:
27-13=14
14÷7=2
therefore x is equal to 2
Please answer!! And will you explain why??
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused
Given:
The expression is
[tex](-8)^3\cdot (-8)^4[/tex]
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
[tex](-8)^3\cdot (-8)^4[/tex]
The repeated multiplication form of this expression is
[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]
[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]
Clearly, (-8) is multiplied seven times by itself. So,
[tex]=(-8)^7[/tex]
Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].
State if the two triangles are congruent. If they are, state how you know
(look at the picture)
What is the length of the diagonal of the rectangle?
10.625
126.4375
29.75
21.25
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² +altitude²
Diagonal² = 17² + 12.75²
= 289 +162.5625
= 451.5625
Diagonal = √451.5625
= 21.25
Answer:
The answer is 21.25
Step-by-step explanation:
if x,y are in inverse proportion then complete the following table x= 42 y=-15 , x=30 y=-----
Answer:
when x=30, y = -21
Step-by-step explanation:
x = k/y
x = 42 y = -15
x = k/y
42 = k/-15
Cross product
42 * -15 = k
-630 = k
k = - 630
Find y when x=30
x = k/y
30 = -630/y
Cross product
30 * y = - 630
30y = - 630
y = - 630/30
y = -21
when x=30, y = -21
LE
Majid rents a bicycle to ride around the city.
There is AED 80 deposit plus AED 22 per hour charge.
If Majid pays AED 146, Majid can ride the bicycle for
hour
B
22
12
80
Answer:
3 hours
Step-by-step explanation:
The rent of the bicycle comes with a charge of:
Initial deposit = AED 80
cost per hour = AED 22
If Majid pays AED 146, then;
AED 146 - AED 80 = AED 66
Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;
number of hours = [tex]\frac{AED 66}{AED 22}[/tex]
= 3
Majid would be able to ride the bicycle for 3 hours when he pays AED 146.
HELPPP PLEASEEE ILL GIVE B IF CORRECT AND EXPLAIN
What is the negative square root of 25/400?
Answer:
Step-by-step explanation:
find the value of x in each triangle. show your work on a separate piece of paper
Answer:
125
Step-by-step explanation:
all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125
im pretty sure thats correct i hope this helps!
6)
Which is equivalent to 23-2-5?
A)
2-15
B)
C)
2-2
D
22
Answer:
Step-by-step explanation:
16 is equivalent to 23- 2- 5What is
3/4
÷
1/8
?
explain your reasoning
Answer:
6
Step-by-step explanation:
when you divide fractions you can "flip" the second fractions and multiply instead.
So you can do:
3/4 * 8/1 which equals 24/4 which simplifies to 6
Answer:
The answer is 6.
Step-by-step explanation:
If you have to do division with 2 different fractions you have to make them have equal denominators. The way you do this is that you multiply 4 x 2 in order to make the denominator of 3/4 turn into 8 and since the rule is whatever you do to the bottom you have to do to the top 3/4 turns into 6/8 because you multiply 3 x 2. Then you see how many times you can put 1/8 into 6/8. The answer for this is 6. Afterwards in order to make sure your answer is correct you do 1/8 x 6/1, (6). Since 1/8 x 6 is 6/8, your answer is correct.
PLEASE HELP ILL MARK U BRAINLIEST!!!!!!!
4 adults and 3 children cost $40 to go to a show. 2 adult and 6 children cost $38 to go to the same show. How much would it be for adults to go to this show. How much would it cost for 2 adults and children?
Answer:
$7 dollar per adult
$4 dollars per child
two adults and two children would cost $22
Step-by-step explanation:
Pls help with my homework I need help
Answer:
tan G = 1.6071
Step-by-step explanation:
tan G = 45/28
tan G = 1.6071
I need help with prime factors
Answer: the answer is 8 and 3
Step-by-step explanation:
factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.
I hope this helps ! good luck
What is the common difference of the arithmetic sequence on which the series is based?
: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.
Answer:
Step-by-step explanation:
1.5
Hope that helps!
Answer:
1.5
Step-by-step explanation:
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