Answers
Answer:
a). x = 12
b). m∠H = 90°
m∠I = 58°
m∠J = 62°
Step-by-step explanation:
a). Use the property of a triangle,
" Sum of all the angles in a triangle is 180°"
(2x + 34)° + (4x + 14)° = 180°
(2x + 4x) + (34 + 14) = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
x = [tex]\frac{132}{6}[/tex]
x = 12
b). m∠H = 90° [Given]
m∠I = (2x + 34)° = [(2 × 12) + 34]°
m∠I = 58°
m∠J = (4x + 14)° = [(4 × 12) + 14]°
m∠J = 62°
Related Questions
Find the area of the shaded region
if the radius of the big circle is 12 cm.
PLEASE HELP!
Answers
Answer:
~226.195cm 2
Step-by-step explanation:
1. Because the shaded region is exactly one half of the circle, this means the Shaded area = 1/2 larger circle area
2. Calculate the area of the circle using the radius
3. Use that halved to get your final answer.
Hope this helped! Comment if you have any questions. :)
Since the small semi circles have the same radius,assume that the colored one takes the other space
Thus it’s just the area of a semicircle of radius 12cm
Also,you can instead find area of small semicircles and the large semicircle
Add area of shaded semicircle to the large one and subtract the unshaded part
Any that you understand better is fine
Please mark as brainliest
10. Read the following word problem, then choose which linear equation models the problem.
The length of a rectangle is six feet more than twice the width. The rectangle’s perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. 2(2w +6) • (2w) = 84
D. (2w + 6) • (w) = 84
Answers
Answer:
D. ( 2w+6). (w)
i tried my best
hope this is the answer
stay at home stay safe
Determine whether the triangles are congruent. Explain you reasoning.
Answers
Triangles are congruent
Step-by-step explanation:
Law of Side, Side, Angle
Thier base are same (PR).
Thier 1 side is equal to 2 inch (PS = RQ).
Thier 1 angle is equal (/_ PRQ = /_ RPS)
So, Its prove that both triangles are congruent.
find the sum of the following ap .1) 1/15, 1/12, 1/10,....,to 11 terms
Answers
Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
What is the median number of words in Luis’s essays?
Answers
Answer:
The median number of words in Luis's essays is 205.5.
Step-by-step explanation:
To find the median number of words in Luis's essay, first arrange the values in the data set in ascending order:
177, 178, 189, 198, 198, 213, 221, 236, 245, 253.
Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 198 and 213, respectively. So,
median .
The median number of words in Luis's essays is 205.5.
The median number of words in Luis's essays is 231.
What is the median of data?The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.
The number of words in Luis's essays arranged in order from smallest to largest is:
177, 178, 189, 198, 198, 210, 213, 221, 228, 231, 231, 236, 236, 244, 245, 245, 245, 253, 259, 286
Since there are 20 numbers in the list, the median will be the average of the 10th and 11th numbers:
Median = [(n/2)th term + ((n/2) + 1)th term]/2
Median = [(20/2)th term + ((20/2) + 1)th term]/2
Median = [10th term + 11th term]/2
Median = [231 + 231]/2
Median = 462/2
Median = 231
Therefore, the median number of words in Luis's essays is 231.
Learn more about the median of data here:
brainly.com/question/28060453
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The complete question is as follows:
Luis and Darcy are required to write essays for their English class. The table shows the number of words t wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228. What is the median number of words in Luis’s essays?
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
$
Answers
Answer:
80 dollars
Step-by-step explanation:
l=prt ⇒ p=l/rt
20=p(0.05)(5)
P=20/0.25=80 dollars
Answer:
The answer is $80
Step-by-step explanation:
I just got it right
the figure is cut into 6 equal pieces shade 1/3 of the figure.
Answers
Answer:
Here,
The circle is cut into 6 equal parts.
It means all the piece of circle is divided forming 60°.
And according to the question we have shade its 1/3part.
means 1/3×360°
=120° so, we should shade 2 pieces of circle.
Hope it helps...
Which is the value of this expression when p = 3 and q = negative 9? ((p Superscript negative 5 Baseline) (p Superscript negative 4 Baseline) (q cubed)) Superscript 0 Negative one-third Negative StartFraction 1 Over 27 EndFraction StartFraction 1 Over 27 EndFraction One-third
Answers
Answer:
Negative StartFraction 1 Over 27 EndFraction
(-1/27)
Step-by-step explanation:
Given expression
(P^-5)(p^-4)(q^3)
When
P=3 and q=-9
(P^-5)(p^-4)(q^3)
=(3^-5)(3^-4)(-9^3)
=(1/3^5)(1/3^4)(-9^3)
=(1/243)(1/81)(-729)
Multiply all numerators
We have,
= (-729)/(243)(81)
Multiply all denominators
= -729/19,683
= -1/27
Negative StartFraction 1 Over 27 EndFraction
Answer:
-1/27
Step-by-step explanation:
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day. Which statements are true based on the model?
Answers
Answer:
Options (1), (2) and (5)
Step-by-step explanation:
Outcomes from the quadratic function given in the graph,
1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.
2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000
3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.
Graph reveals that the store is in loss when number of clerks is zero and 8.
Summarizing these outcomes from the graph,
Options (1), (2), (5) are the correct options.
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answers
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
Simplify this expression: -2x + 3 – (5 – 6x).
Answers
Step-by-step explanation:
-2x + 3 – (5 – 6x)
=-2x + 3 - 5 + 6x
= 4x - 2
Answer:
4x - 2
Step-by-step explanation:
We have to combine the like terms which are -2x and 6x. We will get 4x. Next, we have to subtract 3 - 5 and we get -2. This brings us to the conclusion of 4x - 2.
Assume EFG JKL. If m J = 90 , m K = 26 , and m L = 64 , what is the measure of E?
Answers
Answer:
I think its 90
Step-by-step explanation:
Answer:
E=90
Step-by-step explanation:
because EFG=JKL E=J F=K G=L
yes help me please i need
Answers
Explain
A. 8x+4x=0
Now simply it
12x = 0
Now divide by 12 on both both side
X= 0
So this equation has the solution x= 0
B. 6x+2 = 4x+2+2x
Now both sides
6x+2=6x+2
Now simply by 6x+2 both sides
X= 0
So this equation has infinity solution
C. 4x-8x-3=6-4x
Now simply both sides
-4x-3=6-4x
Now simply
-3x=6
This equation have no solution
D. 5x+1 =1-5x
Now add 5x-1 on both sides
10=0
Now divide by 10
X= 0
This equation have solution x= 0
E. 12x-3-5x = 9+7x-6
Now simply both sides
7x-3= 7x+3
And subtract 7x from both sides
-3 = 3
So the equation has no solution
I hope this help you :D
Good luck
If gear A has 400 teeth and drives another gear B with 1200 teeth. Determine gear ratio.
Answers
Divide the two numbers to find the ratio:
400 / 1200 = 1/3
The ratio is 1:3
Answer:
B
Step-by-step explanation:
Gear A has 400 teeth.
Gear B has 1200 teeth.
Write as a ratio of gear A to gear B.
400:1200
Simplify the ratio.
4:12
1:3
4sinθ – 1 = - 3 for 0<θ< 360
Answers
Answer:
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
Step-by-step explanation:
[tex] 4 \sin \theta - 1 = -3 [/tex]
[tex] 4 \sin \theta = -2 [/tex]
[tex] \sin \theta = \dfrac{-2}{4} [/tex]
[tex] \sin \theta = -0.5 [/tex]
For sin θ = 0.5, the reference angle is θ = 30 deg.
[tex] \sin 30^\circ = 0.5 [/tex]
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
Which of these is a solution to the equation graphed below?
Answers
Answer:
see explanation
Step-by-step explanation:
Any point that lies on the line is a solution to the equation.
Thus
(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions
Answer:
[tex]\boxed{(6, -2)}[/tex]
Step-by-step explanation:
Any of the points that lies on the line is the solution to the equation of the line.
(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of .
Answers
Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer:
384pi inches hop it halp!!!
Step-by-step explanation:
Which of the points listed is the same distance from the y-axis as the point (-4,7.5)?
Answers
Answer:
(4,7.5)
Step-by-step explanation:
Reflect (-4,7.5) at the y-axis
can I help someone with math
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...
first person to answer what 4585 times 5645 CORRECT first gets brainiest
Answers
Answer: 25882325
Step-by-step explanation:
Simply do 4585*5645 in a calculator.
hope it helps <3
Answer:
Hey there!
The answer is 25882325.
Hope this helps :)
SOMEONE PLEASE HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11
Answers
The red graph is the black graph reflected in the y axis, y = f(-x)
It's an odd way to write it, but the answer is:
Answer: D
Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 customers at a monthly rate of $20 per month. After a market survey, it was determined that for each $1 decrease in the monthly rate an increase of 500 new customers would result. A. linear B. quadratic C. none of these D. exponential
Answers
Answer:
The best fit is A. Linear model
Step-by-step explanation:
Given:
Monthly Rate = $20, Number of customers = 5000
If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.
To find:
The type of model that best fits the given situation?
Solution:
Monthly Rate = $20, Number of customers = 5000
Let us decrease the monthly rate by $1.
Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500
Let us decrease the monthly rate by $1 more.
Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000
Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.
We have 2 pair of values here,
x = 20, y = 5000
x = 19, y = 5500
Let us write the equation in slope intercept form:
[tex]y =mx+c[/tex]
Slope of a function:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]
So, the equation is:
[tex]y =-500x+c[/tex]
Putting x = 20, y = 5000:
[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]
[tex]\Rightarrow \bold{y =-500x+15000}[/tex]
Let us check whether (18, 6000) satisfies it.
Putting x = 18:
[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.
So, the answer is:
The best fit is A. Linear model
Name the algebraic property demonstrated in the example below: (1 point) x ⋅ y ⋅ z = y ⋅ x ⋅ z
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
Please help me with atleast some of them❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Answers
Answer:
1. 24 x
Step-by-step explanation:
Area = (6x +1)(6x-1)
which means
length = 6x+1
width = 6x -1
as perimeter = 2 (length + width)
= 2 (6x +1+6x -1)
= 2(12x)
=24x
“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorge. a train is crossing this gorge from the higher cliff to the lower. when the front of the train has traveled three-fourths of the bridge's length, how many feet is it above the bottom of the bottom of the gorge?”
Answers
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Simplfiy the expression 96 ÷4+5x2²
Answers
Answer:
44
Step-by-step explanation:
96 divided by 4 add 5 times 2 squared equals 44
Answer:
44
Step-by-step explanation:
BIDMAS
B: Brackets
I: Indices
D: Division
M: Multiplication
A: Addition
S: Subtraction
96 divided by 4 + 5 x 2^2
96 divided by 4 + 5 x 4
96 divided by 4 = 24
24 + 5 x 4
24 + 20
24 + 20 = 44
The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
Answers
Answer:
a
Step-by-step explanation:
Cylinders:
Ratio of radii = 1 : 4
Radius of two cylinders are: r , 4r
Ratio of height = 3 :1
Height of two cylinders are: 3h , h
Lateral surface area of cylinder = 2πrh
Ratio of lateral surface area= 2π* r * 3h : 2π* 4r * h
= 3 : 4
Find: ∠a ∠b ∠c Plaese help
Answers
Answer:
i believe a=105, b=29, and c=45
The governor of state A earns $53,745 more than the governor of state B. If the total of their salaries is $289,405, find the salaries of each.
Answers
Answer:
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Step-by-step explanation:
If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:
[tex]x = y + 53,745[/tex]
If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.
[tex]x + y = 289,405\\[/tex]
Applying the first expression on the second allows us to solve for y as shown below.
[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]
Using this data on the first expression allows us to solve for the first governo's salary.
[tex]x = 117830 + 53745 = 171575[/tex]
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
I WILL GIVE 20 POINTS!!! This three- dimensional figure is a triangular pyramid where the base and lateral are congruent equilateral triangles and the height of each triangular face 17.32 inches The surface are of the figure is Square inches
Answers
Answer:
Hey there!
The surface area of the triangular pyramid can be expressed as: 4 times the area of one triangle.
The area of one triangle is 17.32, so the total surface area is 69.28.
Hope this helps :)
The surface area of the triangular pyramid will be equal to 692.8 square inches.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
Three- dimensional figure is a triangular pyramid where the base and lateral are congruent equilateral triangles.The height of each triangular face is 17.32 inchesThe formula for the surface area of the pyramid is given as follows;-
SA = Base area + (1/2) [ Perimeter x Slant height ]
SA = [ (1/2) x 20 x 17.32)] + (1/2) [ 60 x 17.32 ) ]
SA= [ 173.2 + 519.6 ]
SA = 692.8 squarer inches
Therefore the surface area of the triangular pyramid will be equal to 692.8 square inches.
To know more about a surface area follow
https://brainly.com/question/25292087
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