a. 37
b. 62
c. 60
d. 39
Answer:
39 lang po
Step-by-step explanation:
samatolong sana lag Yan nyo po Ng brainlest
[tex]\huge\bold{Given :}[/tex]
Angle ABC = 81°
Angle BAC = a°
Angle BCA = 62°
[tex]\huge\bold{To\:find :}[/tex]
The measure of a.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{a.\:37°}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°
➪ 81° + a° + 62° = 180°
➪ a° + 143° = 180°
➪ a° = 180° - 143°
➪ a° = 37°
Therefore, the measure of a is 37°.
Now, the three angles of the triangle are 81°, 37° and 62°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ ABC + ∠ BAC + ∠ BCA = 180°
✒ 81° + 37° + 62° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
( Note: Kindly refer to the attached file. )
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
Answer:
$34,341
Step-by-step explanation:
Given :
Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
To obtain the best value for the mean salary ; we obtain the weighted average ;
Σ(salary * weight factor) / Σ weight
[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)
= 34341.34 / 1
Average salary = 34341.34
= $34,341 ( nearest dollar)
what is the solution to this equation?
4x+16-x=22+6
Answer:
x=4
Step-by-step explanation:
4x+16-x=28
4x-x+16=28
3x+16=28
3x=28-16
3x=12
x=12/3
x=4
solve the inequality:
5 (2h+8) < 60
Answer:
5 (2h+8) < 60
10h+40<60
10h<20
h<2
Your Welcome
BIFFY OUT!!!
6.perimeter of the given shape above is
a) 20 feet
b) 40 feet
c) 30 feet
d) 25 feet
e) 10 feet
first ,length(l)=14 feet,
bredth(b)=6feet.
now, perimeter = 2(l+b)
=2(14+6)
= 2×20
= 40 feeet
Hope this helps you....
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
Find the measure of the missing angles to name the shortest and longest sides. (2x) x+15) 1. X= 2.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
The triangle Given is right angled :
Hence, the sum of the two angles = 90°
Hence, 2x + (x + 15) = 90
2x + x + 15 = 90
3x = 90 - 15
3x = 75
x = 75 / 3
x = 25
2x = 2 * 25 = 50
(x + 15) = 25 + 15 = 40
Hence, largest angle = angle Y
Largest side = side opposite largest angle = AD
smallest angle = (x + 15) = 40
Smallest side = side opposite smallest angle = AY
2. The sum of k and 10 is 48
Answer:
k=38
Step-by-step explanation:
38+10=48
Please help! I don't know how to do this.
Write a polynomial of least degree with roots 1 and 2.
Answer:
f(x) = x^2 - 3x + 1.
Step-by-step explanation:
If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2). Multiplying, we get
f(x) = (x - 1)(x - 2) = x^2 - 3x + 1
The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.
What is the volume of this container 4 ft2 2 ft3 2 ft2 4 ft3
Answer:
2 [tex]ft^{3}[/tex]
Step-by-step explanation:
volume of a cuboid = length * breadth * height
= 2*1*1
=2 [tex]ft^{3}[/tex]
Answer:
The volume of container is 2 ft ³.
Step-by-step explanation:
We have,
Length = 1 ft .Breadth = 1 ft.Height = 2 ft.We have Formula, Volume of Cuboid.
[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]
substitute the values
[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]
multiply the values
[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]
Hence, the volume of container is 2 ft ³.
What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Answer:
Step-by-step explanation:
Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.
10x = 15 and
x = [tex]\frac{15}{10}=\frac{3}{2}[/tex] If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:
[tex]15(\frac{3}{2})= \frac{45}{2}=22.5[/tex] Good. So the common ratio is 3/2. The formula for an explicit geometric formula is
[tex]A_n=a_1(r)^{n-1[/tex] where a1 is the first number in the sequence and r is the common ratio. Filling in:
[tex]A_n=10(\frac{3}{2})^{n-1[/tex]
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0
(the ones with multiple are all separate I just couldn't attach all.)
Answer:
It's the third one, I hope so. y<1/2x
Step-by-step explanation:
I hope this helps. :)
How many solutions does the equation sin(5x) = 1/2 have on the interval (0,2pi]?
Answer:
1/2 has two solutions for 5x
Step-by-step explanation:
But if you add 2pi, 4pi, 6pi, 8pi to the solutions then divide by 5, you get 10 solutions for x
Identify the type of function represented by
f(x) = 4.2%
O A. Exponential growth
O B. Exponential decay
O C. Decreasing linear
O D. Increasing linear
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 5.
hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers?
Answer:
$14
Step-by-step explanation:
3.50/2= 1.75
1.75*8= 14
A figure is shown with the given dimensions.
What is the area, in square feet, of the figure?
Answer:
[tex] \blue{A = 24~ft^2} [/tex]
Step-by-step explanation:
This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.
[tex] A = \dfrac{b_1 + b_2}{2}h [/tex]
[tex] A = \dfrac{10~ft + 6~ft}{2} \times 3~ft [/tex]
[tex] \blue{A = 24~ft^2} [/tex]
Given the following quadratic equation, find the average rate of change
for the interval (1,3]. *
f(x)= 3x^2
1.875mps into kilometers per hour
Answer:
Answer:
6,75 kilometres per hour
Step-by-step explanation:
1,875×18÷5
=6,75
A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.
What is the probability that both of Eduardo’s partners for the group project will not be boys?
StartFraction 9 Over 65 EndFraction
StartFraction 24 Over 65 EndFraction
StartFraction 64 Over 169 EndFraction
StartFraction 128 Over 325 EndFraction
Answer:
24/65
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2023
Find the distance between the two points in simplest radical form (-3,-2), (-8,4)
Answer:
√61
Step-by-step explanation:
Find the median of the given data 60cm,56cm,45cm,50cm,54cm,51cm,52cm,48cm,46cm,53cm
what is the scale factor from figure a to figure b
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
The right vertical side of B is 2 units
The right vertical side of A is 4 units
scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Please please please help me
Answer:
2nd option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
P (- 8, 1 ) → P' (- 8, - 1 )
Q (- 6, - 8 ) → Q' (- 6, 8 )
R (4, - 3 ) → R' (4, 3 )
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY
Answer:
D
Step-by-step explanation:
30-60-90
Hypotenuse = 26
one side is half.
the other side is 1/2[tex]\sqrt{3}[/tex]
What are the zeros of the quadratic function
y = 6x2 + 3x - 45
Answer:
l think
y= x^2
.
.
.
.
..
..
.
.
.
.
calculate the percentage increase if the price of a $30 train ticket is increased to $42
Answer:
40 % increase
Step-by-step explanation:
New price - original price
42-30 = 12
Divide by original price
12/30 = .4
Change to a percent
.4 * 100
40%
40 % increase
Linda was pulled over by a policeman
for driving 80 miles per hour. One mile
is about 1.61 kilometers. About how
many kilometers per hour was Linda
driving when she got pulled over by the
policeman?
Answer:128.74
Step-by-step explanation:
calculate the volume of a ball having a radius of 8 cm
Answer:
267.9 [tex]cm^{3}[/tex]
Step-by-step explanation:
volume of a circle = 4/3 * π *[tex]r^{2}[/tex]
=4/3 *3.14 *[tex]8^{2}[/tex]
=12.56/3 *64
=803.84/3
=267.94
=267.9 [tex]cm^{3}[/tex]
Please help me i need someone to help!
Answer:
so to do this we basicely just go through and substitute the anser in and see if it works.
60+10=70
60-10=50
NO
50+20=70
50-20=30
RIGHT
so the answer is the second one