The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?

Answer:

The answer is 2 and (-9)

Step-by-step explanation:

x² + 7x – 18 = 0

x² + 9x – 2x – 18 = 0

x(x + 9) – 2(x + 9) = 0

(x – 2) (x + 9) = 0

x = (2, -9)

Thus, The zeroes of the polynomial is 2 and (-9).

Answer:

912

Step-by-step explanation:

number of girls :

[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]

number of boys :

1 200-288 = 912

Answer:

24 years old

Step-by-step explanation:

let x = age of abraham, y = age of sylvia

x = 3y

x + 8 = 2y+16 => (2(y+8))

3y + 8 = 2y + 16

y = 8

x = 3(8)

x = 24

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

= 1 more than a number (a)

= q less than 9

= 3 times y added to 7

= a number (x) divided by 3 more than 9

= 3 times x added to 10

Right angled triangle

Area:-

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}BH[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(2.4)(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 1.2(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

8cm

Step-by-step explanation:

[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]

Answer:

[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]

Step-by-step explanation:

Given:-

To find:-

Ans:-

[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]

[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]

[tex]\sf \to 64cm^2 = r^2 [/tex]

[tex]\sf \to r = \sqrt{64cm^2} [/tex]

[tex]\sf \to r = 8cm [/tex]

therefore [tex]\tt radius_{circle} [/tex] = 8cm

[tex]\: [/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

Answer:

200.96 inches squared

Step-by-step explanation:

lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.

alright so your teacher told you that the area of a circle is 3.14 times the radius squared.

the radius here is 8 inches. 8 squared is eight times eight. that is 64.

cool. now 64 times 3.14 is:

200.96

amazing

(prepare to get hurt and mangled, like kurt angle, rookie year!)

i hope you have a swag day

the answer is 70.2 ft because u add them all together

Answer:

the area is 243

see the photo

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

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Answer:

Step-by-step explanation:

draw a square and cut it from the top right corner to the bottom left corner it makes a triangle

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

Answer:

all the above.

your welcome

Answers:

============================================================

Explanation:

The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20

The perimeter is 20 inches.

This is the answer for blank 1.

This is the amount of fencing needed to enclose the pentagonal base.

-------------------------------

The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.

The diagram shows the slant height is 5.7 inches which is the answer for blank 2.

-------------------------------

LA = lateral surface area

The lateral area is the area of everything except for the base polygon.

Each triangle has a base of 4 inches and height 5.7 inches.

Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.

Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.

For each blank, you'll only enter the number itself of course.

The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.

[tex] \Large{\boxed{\sf x = 9}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 10 + \dfrac{x}{3} = 13 [/tex]

[tex] \\ [/tex]

Subtract 10 from both sides:

[tex] \sf 10 + \dfrac{x}{3} - 10 = 13 - 10 \\ \\ \sf \dfrac{x}{3} = 3 [/tex]

[tex] \\ [/tex]

Multiply both sides by 3:

[tex] \sf 3 \times \dfrac{x}{3} = 3 \times 3 \\ \\ \\ \boxed{\boxed{\sf x = 9}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

Step-by-step explanation:

In this question we have provided an equation that is 10 + X/3 = 13 . And we're asked to find the value of X .

Solution : -

[tex] \longmapsto \qquad \: 10 + \dfrac{X}{3} = 13[/tex]

Step 1 : Multiplying with 3 on both sides :

[tex]\longmapsto \qquad \:(10 + \dfrac{X}{3} ) \times 3=13\times3[/tex]

Now by using distributive property multiplying 3 with 10 as well as X/3 :

[tex] \longmapsto \qquad \: (10 \times 3) + ( \dfrac{X}{ \cancel{3}} \times \cancel{3}) = 13 \times 3[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: 30 + X = 39[/tex]

Step 2 : Subtracting with 30 on both sides :

[tex] \longmapsto \qquad \: \cancel{30} + X - \cancel{30} = 39 - 30[/tex]

On calculating further , We get :

[tex] \longmapsto \qquad \: \purple {\underline{{\boxed{\frak{X= 9}}}}}[/tex]

Verifying : -

Now we are checking whether our answer is correct or wrong by substituting values of x in given equation . So ,

Therefore , our value for x is correct .

The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

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Answer:

3.25 x 10^-4

Step-by-step explanation: mark brainliest

Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

Answer:

m(C)<m(B)<m(A).

Step-by-step explanation:

1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then

2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).

The list of the angles from smallest to largest are C, B and A.

Given that a triangle has side measurements represented in terms of the variable m, where m > 6.

AB = m - 2

BC = m + 4

AC = m

We need to list the angles from smallest to largest.

Since none of the sides are equal, therefore it is a scalene triangle.

Let us consider m = 6.

Then,

AB = m - 2

AB = 6 - 2

AB = 4

BC = m + 4

BC = 6+4

BC = 10

AC = m

AC = 6

It means that the longest side is BC, the medium side is AC and the shortest side is AB.

We know that the longest side of a triangle corresponds to the largest angle and vise versa.

Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

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Answer:

midine y=2

amplitude -3

period 5pie

The probability that they have a common vertex is 20%.

Since three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:

Therefore, the probability that they have a common vertex is 20%.

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+ - makes a minus

+ + make a plus

-- makes a plus

7.0 - 2.9 = 4.1

Hope this helps!

Answer:

A is your answer.

Step-by-step explanation:

.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.

Answer:

(m - 9) (m + 10)

Step-by-step explanation:

m² - 9m + 10m - 90

(m² - 9m) + (10m - 90)

m(m - 9) + 10 (m - 9)

Final answer;

(m - 9) (m + 10)

Answer:

I believe it is B

Step-by-step explanation:

it has somewhat some thing to do with the lines at BC it's had to put in words

The postulate or theorem can be used to prove that ΔABC ≅ ΔDCB is ASA.

The correct option is A.

Congruency is a concept in geometry that refers to the equality of shape and size between two or more geometric figures. When two figures are congruent, it means that they have exactly the same shape and size, and their corresponding sides and angles are equal.

In ΔABC and ΔDCB

<BAC= <BDC (given)

<BCA= <DBC(given)

CB = CB (common)

So, by ASA criteria ΔABC ≅ ΔDCB.

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Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3