The sum of the measures of the interior angles of a quadrilateral is 360°. The sum of the measures of the exterior angles of a quadrilateral is 360°.
What is a quadrilateral?
A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees.
Assume that ABCD is a quadrilateral.
The sum of the interior angle and the corresponding exterior angle is 180°.
The exterior angle of A is E. The exterior angle of B is F. The exterior angle of C is G. The exterior angle of D is H.
Thus ∠A + ∠E = 180° .....(i)
∠B + ∠F = 180° ......(ii)
∠C + ∠G = 180° ......(iii)
∠D + ∠H = 180° ......(iv)
Add equations (i), (ii), (iii), (iv):
∠A + ∠E + ∠B + ∠F + ∠C + ∠G + ∠D + ∠H = 180°+180°+180°+180°
(∠A+∠B + ∠C +∠D) + ∠E +∠F + ∠G + ∠H = 720°
The sum of all interior angles of quadrilateral is ∠A+∠B + ∠C +∠D = 360°.
360°+ ∠E +∠F + ∠G + ∠H = 720°
∠E +∠F + ∠G + ∠H = 720° - 360°
∠E +∠F + ∠G + ∠H = 360°
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I really really need help fast please
Answer:
-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)
Step-by-step explanation:
square root of 72 = 8.48528137 or 8.5 (rounding to tenths)
square root of 2 = 1.41421356 or 1.4
square root of 128 = 11.3137085 or 11.3
[tex]y = - 3x + 12[/tex]
what is the slope?
Two lines intersect. Find the value of b.
bo
42°
cº
Step-by-step explanation:
b = 42
c = 138
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simplify the expressions
3
5
7
9
у
6
12
18
24
Step-by-step explanation:
3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11
hi can you please tell me what the answers are?
Answer:
m<PTQ=90
m<TSR=45
PT=9
Which is greater.9 or 95%
kepçe
Step-by-step explanation:
kepçe kulak verin lütfen
m + 1 = 8
But what’s the m=__
Answer:m= 7.
Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7
Answer: m = 7
Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.
In this problem, since 1 is being added to m, in order to get m
by itself, we must subtract 1 from the left side of the equation.
If we subtract 1 from the left side of the equation, remember that
we must also subtract 1 from the right side of the equation.
So on the left, +1 and -1 cancel each other out
and on the right, 8 - 1 simplifies to 7.
So m = 7.
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answer:
Step-by-step explanation:
m=16/4 this one is division
16= 4*m multiplacation
Which expression is a factor of 36x2−9?
6x−9
18x−9
6x−3
18x−3
Answer:
C
Step-by-step explanation:
Comment
This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares. 36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?
A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.
The right side has been left alone and it shouldn't be.
The 9 is a perfect square. Its square root is 3. That makes C the answer.
Spiral Review. Find the value of the expression below
9 + 4³ x (20 - 8) ÷ 2 + 6
WRONG ANSWERS REPORTED
Answer:
399
Step-by-step explanation:
9+4^3*(20-8)/2+6
9+(4)(4)(4)(12)/2+6
9+64(12)/2+6
9+768/2+6
15+768/2
15+384
399
Please help if you want BRIANLEIST!!!! :)) TY!!!
Answer: The correct answer is 5/4
Step-by-step explanation: can get the brainliest answer thanks.
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.
A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
[tex] = 2\pi \: r[/tex]
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, 3768 inches of gold trim is required (Ans)
um sapato é vendido a r$ 180,00. se a compra for a vista a loja oferece um desconto de 10%. qual o valordo sapato na compra a vista?
Preço de um sapato = $ 180,00
Desconto concedido se o sapato for comprado em dinheiro = 10%
Custo do calçado quando comprado à vista :
[tex] =\tt 180 - 10\% \: \: de \: \: 180[/tex]
[tex] = \tt180 - \frac{10}{100} \times 180[/tex]
[tex] =\tt180 - \frac{10 \times 180}{100} [/tex]
[tex] = \tt180 - \frac{1800}{100} [/tex]
[tex] =\tt 180 - 18[/tex]
[tex]\color{plum} =\tt\$162.00[/tex]
▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00
The question is in the picture
Answer:
option 1
Step-by-step explanation:
Answer:
option 1
Step-by-step explanation:
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Enter your answer
Answer:
I think Giant.
Maria is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $121 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
m=42/0.7
m=60 miles they will be costing the same
Step-by-step explanation:
what does -2x + 9 look like on a graph?
Answer:
The line of the graph will be going down 2/1 and will pass through the y intercept at 9.
Step-by-step explanation:
Hope this helps a little.
Answer:
this
Step-by-step explanation:
use desmos if u need more help
180:60 in its simplest form
Step-by-step explanation:
here is it your
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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.1% per hour. How many hours does it take for the size of the sample to double?
Answer:
2.2 i thinkkk
Step-by-step explanation:
Would it be a b c or s please answer fast
Answer:
Step-by-step explanation:
it is your first choice
-4.4+3.6[tex]\geq[/tex]1.6x
-0.5[tex]\geq[/tex]x
Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.
5 inch is the width, 8 inch is the length.
Find to scale between the two widths:
10 /5 = 2 the larger photo is 2 times larger,
Multiply the known length by 2:
8 x 2 = 16
The length would be 16
Answer:
length = 4
Step-by-step explanation:
if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.
10/5 = x/8
THEY ARE REAL- PLEASE THEY AREN’T FAKE
PLLSSS OMGG IM CRYINGG THE LITTLE HATT
zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?
15(h) + 12
h = hours worked
//
15(2) + 12
given angle FLY what is tan40?
FL/LY
LY/FL
FY/FL
LY/FY
FY/LY
FL/LY
Answer:
tan = opposite/adjacent
tan 40 = LY/FY
Step-by-step explanation:
If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?
Answer:
700 feet per hour is the rate of descent
Step-by-step explanation:
3 hours is 2100 so 2100/3 is 700 which is per hour
11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *
Answer:
140 ounces
Step-by-step explanation:
We use ratio and proportion.
[tex]\frac{11}{22} =\frac{70}{x}[/tex]
Cross multiply, and you get:
11x = 1,540
Divide both sides by 11. Thus:
140 ounces.
Answer:
140
Step-by-step explanation:
70/11 = 6.363636364
6.363636364 * 22 = 140
calculate: 3400*6 1/2 *1/100
questions clear likhh
thank for extra points
What will be the answer?
Answer:
150 shld be the answer ... Option E
Step-by-step explanation:
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