Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.
[tex]60^\circ+80^\circ+90^\circ+x+x=360^\circ[/tex]
[tex]230^\circ+2x=360^\circ[/tex]
[tex]2x=360^\circ-230^\circ[/tex]
[tex]2x=130^\circ[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{130^\circ}{2}[/tex]
[tex]x=65^\circ[/tex]
Therefore, the measures of both exterior angles are 65 degrees.
Solve for a. HELPPppppppppppppppp
Answer:
a = -24
Step-by-step explanation:
[tex]30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a[/tex]
Answer:
-24 = a
Step-by-step explanation:
30 - 26 - a/6
Subtract 26 from each side
30 -26 = 26 - a/6 - 26
4 = -a/6
Multiply by -6 on each side
-6 *4 = -a/6 *-6
-24 = a
What is the length of segment FH?
Answer:
FH ≈ 15.20
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )
FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )
FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )
Hi, Which option is correct??
Answer:
B
Step-by-step explanation:
option B is not similar.
the ratio of each side isn't same
Find the measure of KM. PLEASE PLEASE PLEASE HELP ASAP!!!!!!!!!!!!!!!
A. 7
B. 17
C. 12
D. 14
Answer:
C
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is
ML × KM = MN × MR, substitute values
7 × KM = 6(6 + 8)
7 KM = 6 × 14 = 84 ( divide both sides by 7 )
KM = 12 → C
Answer:
C.) 12
Step-by-step explanation:
I got it correct on founders edtell
based on the graph the coordinates for do1 of x
Answer:
(4,0)
Step-by-step explanation:
1. X= (4,0) the coordinates of x
Write an inequality to describe the region represented on the number line.
H
-4 -3 -2 - 1 0 1 2 3 4
O x>-3
O x>-3.5
O x<-3
O x<-3.5
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required number line is not included in the question.
A general explanation is as follows:
An open circle means > or <
A closed circle means >= or <=
Take, for instance, the attached number line:
The open dot on -3 means >-3 or <-3
The arrow points to the right direction, means >-3 i.e. greater than -3
Hence, the inequality is:
[tex]x > -3[/tex]
Two lateral faces of a rectangular pyramid have a base length of 10 inches and a height of 15 inches. The other two lateral faces have a base length of 18 inches and a height of 13 inches. What is the surface area of the rectangular pyramid?
The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = [tex]\frac{1}{2}[/tex] x base x height.
From the given question;
The area of one of the two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
Thus,
the surface area of the pyramid = 150 + 234
= 384 square inches
Therefore, the surface area of the rectangular pyramid is 384 square inches.
For more clarifications: https://brainly.com/question/23564399
Answer:
Step-by-step explanation:
The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.
Each surface of the rectangular pyramid has the shape of a triangle.
So that the area of each surface of the pyramid = x base x height.
From the given question;
The area of one of the two lateral faces = x b x h
= x 10 x 15
The area of one of the two lateral faces = 75 square inches
Thus,
the area of the first two given lateral faces = 2 x 75
= 150 square inches
The area of the first two given lateral faces = 150 square inches
Also,
The area of one of the other two lateral faces = x b x h
= x 18 x 13
The area of one of the other two lateral faces = 117 square inches
So that;
the area of the first two other lateral faces = 2 x 117
= 234 square inches
The area of the first two other lateral faces = 234 square inches
The area of the rectangle is B x H = 18 x 10 = 180 square inches
Thus,
the surface area of the pyramid = 150 + 234+180
= 564 square inches
Therefore, the surface area of the rectangular pyramid is 564 square inches.
Help ASAP please :))
Image attached
If LM = 9x + 27 and RS = 135, find x.
Answer:
x=12
Step-by-step explanation:
LM = RS
9x+27 = 135
Subtract 27 from each side
9x+27-27 =135-27
9x=108
Divide each side by 9
9x/9 = 108/9
x = 12
the boxes are equivalent so the one with a single dash is equal to the other with a single dash.
the one with 2 dashes is equal to the other with 2 dashes so on and so forth
SR=LM
LM=9x+27
RS=135
9x+27=135
so I solve it in my own weird way but you can solve it differently. 135-27=108
108/9=12
so your answer is 12
‼️Please help‼️ I don’t understand
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
ok so this... is confusing the hell outta me any help?
Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24
Solve the equation. The letters a, b, and c are constants and a≠0
ax-7b = 9c
i got confused bc it doesn’t tell me what to solve for. please help! thank you!
pls help me anyone! pls im so stuck here
Answer:
The third option, (-30,10)
Step-by-step explanation:
A proportional relationship is when you multiply one number in the coordinate/pair to get the other number, and that number that you multiply with is consistent. For example, in (60,-20) you multiply the x coordinate 60 by -1/3 to get 20. Next, you have to check if the other answer choices follow the same pattern. For (-30,10), you multiply -30 by -1/3 and get 10! So it works.
how many inches is 775 centimeters
Answer:
305.11
Step-by-step explanation:
Just use a calculator. A centimeter is 2.5 inches. Divide 775 by that.
PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question
F is on the bisector of angle BCD. Find the length of FD (with lines over FD)
Answer:
8n-2 = 6n+9
2n-2 = 9
2n = 11
n = 5.5
So C is correct
Let me know if this helps!
ax^2-y^2-x-y factorize
Answer:
x(ax-1)-y(y+1)
Step-by-step explanation:
you have to group the like terms
ax^2-x-y^2-y
x(ax-1)-y(y+1)
I hope this helps
- 5x + x - 6x²
6x3 - 4 - 5 + 6x3 - 3x3
Is this all one equation?
If it isn't, here:
-6x ^ 2 - 4x <-- Equation 1
18 - 9 + 18 - 9 = 18 <-- Equation 2
If it is:
-5x + x - 6x ^ 2 + 6 * 3 - 4 - 5 + 18 - 9
-4x - 6x ^ 2 + 18 - 9 + 18 - 9
-4x - 6x ^ 2 + 18
Then we order it
-6x ^ 2 - 4x + 18
3a + 2 = 20
5(b+1) = 10
3 (2y - 3) - 2y = y-3
2+ (2+4p) =6p
Please answer these questions with steps please!
Please help will give brainliest
Answer:
16p - 2
Step-by-step explanation:
Answer:
20p - 2
Step-by-step explanation:
To find a perimeter, you take the values of each side and add them together.
Let's start there.[tex](p-8)+(9p-7)+(p-8)+(9p-7)[/tex]
Bring all values with a p to one side[tex]p+9p+9p+p-8+7-8+7[/tex]
Simplify, knowing values with an attached variable cannot be added to values without an attached variable.[tex]20p-8+7-8+7[/tex]
Simplify the other numbers.[tex]20p-2[/tex]
What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
Amanda's sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag?
To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.
Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.
Assume the shape of the black material is a rectangle.
The area will be calculated as:
[tex]Area = Length * Width[/tex]
Take for instance;
[tex]Length = 4yd;\ Width = 5yd[/tex]
[tex]Area = 4yd * 5yd[/tex]
[tex]Area = 20yd^2[/tex]
Assume the shape of the black material is a square.
The area will be calculated as:
[tex]Area =Length^2[/tex]
Take for instance;
[tex]Length = 4yd[/tex]
[tex]Area = (4yd)^2[/tex]
[tex]Area = 16yd^2[/tex]
Assume the shape of the black material is a triangle
The area will be calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
Take for instance;
[tex]Base = 4yd;\ Height = 5yd[/tex]
[tex]Area = 0.5 * 4yd * 5yd[/tex]
[tex]Area =10yd^2[/tex]
So, in general.
You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.
Read more about areas at:
https://brainly.com/question/24251781
2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.
Answer:
a = 50°
b = 130°
c = 50°
d = 50°
e = 130°
f = 130°
g = 50°
Answered by GAUTHMATH
Two observers are 300 ft apart on opposite sides of a flagpole. The angles of
elevation from the observers to the top of the pole are 20°
and 15°. Find the
height of the flagpole.
Which value of x makes this equation true?-9x+15=3(2-x)
Step-by-step explanation:
-9x+15=3(2-x)
expand the bracket by the right hand side6-6x
2. collect like terms
-9x+15= 6-6x
15-6 = 6x+9x
11= 15x
3. divide both sides by the coefficient of X which is 15
x= 11/15
If a man wishes to glue 5 lengths of board each 2'3" long, what is the total length?
(A) 10'
(B) 10'3"
(C) 11'
(D) 11'3"
(E) 12
Answer:
The answer is D: 11'3"
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
Find the measurement of the diagonal indicated in the following parallelogram
Answer:
If KF = 19, then KM = 38.
Step-by-step explanation:
The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:
2(KF) = KM
2(19) = KM
38 = KM
3,125 subtracted by what can give me 514
Answer:
2611
Step-by-step explanation:
3125-2611= 514
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