Answer this math word bank:
alternate interior angles, alternate exterior angles, vertical angles, adjacent angles, linear pair corresponding angles use the word bank and fill in the blanks (words will only be used once) < a and < b are ______________________ and __________________ angles. < b and < f and 55° are ____________________ angles. < a

Answer:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Answer:

Step-by-step explanation:

an obtuse angle is a type of angle there are many types a obtuse angle measures from more 90 degrees to less than 180 degrees and interior obtuse angle is just an angle inside a shape that is more than 90 degrees but less than 180 degrees

Answer:

solutions: -15, 4 3/4

not solutions: 10 2/3 and 129

Step-by-step explanation:

Let's solve the inequality first

[tex]20 \geqslant 5 + 3x \\ 20 - 5 \geqslant 3x \\ 15 \geqslant 3x \\ 5 \geqslant x[/tex]

so solution set must contain all the values that are less than equal to 5.

-15 and 4 3/4 are less than 5

so these are solutions.

129 and 10 2/3 are bigger than 5. That means these are not solutions.

Answer:

∠TVX = 49°

x = 52°

x = 57.5°

BC = 6 cm

Step-by-step explanation:

Question 1

Angle at the Centre Theorem:

∠UTV = 1/2 ∠UOV = 134 ÷ 2 = 67°

Angles around a point add up to 360°

⇒ interior angle of ∠UOV = 360 - 134 = 226°

The sum of interior angles of a non-cyclic quadrilateral is 360°

⇒ ∠OVT = 360 - 26 - 226 - 67 = 41°

As WVX is a tangent, it forms a right angle with the radius (OV)

⇒ ∠TVX = 90 - 41 = 49°

Question 2

Angles on a straight line add up to 180°

The angle between a tangent and a chord is equal to the angle in the alternate segment.

Therefore ∠x = 180 - 68 - 60 = 52°

Question 3

As CD is a tangent ⇒ OC = radius ⇒ ∠OCD = 90°

The sum of interior angles of a triangle is 180°

⇒ ∠COD = 180 - 90 - 25 = 65°

As ∠COD =∠AOB then ∠AOB = 65°

As OB and OA are radii, triangle AOB is an isosceles triangle. Therefore ∠OBA = ∠OAB

Therefore x = (180 - 65) ÷ 2 = 57.5°

Question 4

As BC is the tangent to the smaller circle, OA is perpendicular to BC.

Therefore, triangle OAB is a right triangle with hypotenuse 5 cm.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle):

⇒ AB² + 4² = 5²

⇒ AB = √(5² - 4²) = 3

⇒ BC = 2 x AB = 3 x 2 = 6 cm

Let the quantity of alloy required = m g

Then 26 % of m =260 g

[tex]\small\bold\green{⇒}\small\bold{\frac{(26)}{100} × m = 260 g}[/tex]

[tex]\small\bold\green{⇒}\small\bold{m = \frac{(260 × 100)}{26} g}[/tex]

[tex]\small\bold\green{⇒}\small\bold{m = \frac{26000}{26} g}[/tex]

[tex]\small\bold\green{⇒}\small\bold{m = 1000 g}[/tex]

Answer:

Step-by-step explanation:

If 24 muffins cost 46$ how much does 1 muffin cost?

46 : 24 =

1,916666666666667$

(the total cost is 46$ or 48? are you sure?)

Hey there!

It costs about $46 for 24 muffins, so in order to find out the total cost for 1 muffin you have to DIVIDE 46 from 24 or 24 from 46.

So, lets first divide 46 from 24

46 / 24

= 46 ÷ 24

= 46 ÷ 2 / 24 ÷ 2

= 23 / 12

= 1.916667

≈ 1.92

Therefore, your answer is: $1.92

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The answer is 4. have a nice day!

Hello.

In order to find [tex]\mathrm{\displaystyle\frac{1}{8} }[/tex] of 32, we need to divide 32 by 8:

[tex]\mathrm{32:8}\\\mathrm{4}[/tex]

Therefore, the final answer is

[tex]4[/tex].

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

1/2, 7/10, 4/5

Step-by-step explanation:

Answer:

B I think try B and see If that it?

Answer:

Approximately 0.64 mi^2

Step-by-step explanation:

1320 yd= 0.75 mi

1496 yd=0.85 mi

0.75*0.85= 0.6375 mi^2

= approximately 0.64 mi^2

n²-25

Expand the polynomial using the FOIL method. (A handy way to remember how to multiply two binomials. It stands for "First, Outer, Inner, Last")

Answer:

n² - 25

Step-by-step explanation:

(n - 5)(n + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

n(n + 5) - 5(n + 5) ← distribute parenthesis

= n² + 5n - 5n - 25 ← collect like terms

= n² - 25

Answer:

R=50    b=130   a=135

Step-by-step explanation:

Sum of Internal angles   = 180

R= 180-85-45 = 50

missing interior angle R  = 50

If a side of a triangle is produced, then the exterior angle that is  formed is equal to the sum of the two interior opposite angles.

P+Q = 85+45= 130     b=130

P+R = 85+50 = 135     a=135

To solve this problem, we would have to add the sum of angles in a triangle and then find the missing side. Furthermore, value of R, a and b are 50°, 135° and 130° respectively.

Data;

The sum of angles in a triangle is equal to 180° and we can find the missing side on R.

[tex]P+Q+R = 180^0\\85^0+45^0+R = 180^0\\130^0+R=180^0\\R = 180 - 130 \\R = 50^0[/tex]

Since we know the value of R and Q, we can proceed to find a and b.

[tex]Q+ a = 180\\[/tex]

The reason behind this is that the sum of angles on a straight line is equal to 180^0

[tex]45+a = 180 \\a = 180 - 45 \\a = 135^0[/tex]

Now let's find the value of b

[tex]R + b = 180\\R = 50^0\\50 + b = 180\\b = 180 - 50 \\b = 130[/tex]

From the calcuations above, the value of R, a and b are 50°, 135° and 130° respectively.

#SPJ5

Learn more on sum of angle in a triangle here;

https://brainly.com/question/12284930

Answer:

6 quarters and 1 nickel

Step-by-step explanation:

6 quarters each worth 25 cents adding up to 1.50$ and then one nickel adding on .05 $ to get you too 1.55$

Answer:

6 nickels ($0.30)

5 quarters ($1.25)

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

The length of UT is given as 7

Similar shapes are shapes that have the same sides and angles.

Given the following parameters from the figure

Taking the ratio of the similar sides

TU/UV = RT/RS
UT/5 = 14/10
10UT = 70
UT = 7

Hence the length of UT is given as 7

Learn more on similar shapes here: https://brainly.com/question/14285697

Using the expected value of a discrete distribution, it is found that the amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering 6 out of 6^2 = 36 outcomes are doubles, we have that the distribution is:

P(X = 5) = 1/6.

P(X = x) = 5/6.

A fair game means that the expected value is of 0, hence:

[tex]5\frac{1}{6} - \frac{5x}{6} = 0[/tex]

[tex]\frac{5x}{6} = \frac{5}{6}[/tex]

[tex]x = 1[/tex]

The amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677

Answer:

the player should lose 1 point for not rolling doubles

B. 1

Step-by-step explanation:

just took the test on edge 2022

Answer:

MY= 33 (total of MW and WY)

WY= 11 (MY is median line, so WY is 1/2 of MW)

NZ= 30 (total of NW and WZ)

NW= 20 (NZ is median line, so NW is 2 times WZ)

XP= 39 (total of PW and XW)

XW= 26 (XP is median line, so XW is 2 times WP)

Answer:

a) 200 b) 400

Step-by-step explanation:

1:2:3 could be understood as fractions, in which case A) is 1/6*1200 or 200. B) is 2/6*1200 or 400.

Answer:

Well if Melissa only bought a pound of berries then it should be $3 because its $3 per pound-

Answer:

1482

Step-by-step explanation:

2n+5

1) when n= 1

2(1)+5

= 7

2) when n=12

2(12)+5

=29

3) when n=29

2(29)+5

=63

4) when n=36

2(36)+5

=77

5) when n=216

2(216)+5

=437

6) when n=433

2(432)+5

=869

therefore, 7+29+63+77+437+869 = 1482

Answer: D.

Step-by-step explanation: you find the ratio of the other lengths, then apply that ratio to the length of DC. Pls mark as brainliest?

Answer:

6x-3

Step-by-step explanation:

7x-x-1-2=6x-3

Answer:

22.47

Step-by-step explanation:

Answer:

0.08 km per minute

Step-by-step explanation:

4/50

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

[tex]2x^3 +18x^2 - 18x - 162[/tex]

The factor of the polynomial equation are given as,

[tex]2(x+ k)(x - k)(x +9)[/tex]

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

[tex]2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)[/tex]

Take out the highest common factor to make the groups as,

[tex]2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)[/tex]

Use the property of difference of the square for the (x²-3²) term as,

[tex]2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)[/tex]

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

Answer:

The missing side is X=4

Step-by-step explanation:

Since the triangles are similar to eachother, they will have the same ratio.

One way to solve is dividing 8 by 2. Since 12 divided by 2 is 6,

we can expect 8 divided by 2 to be the missing side we are looking for.

Hope that helps!

Answer:

x = 4

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

[tex]x^2-2x+1=(x-1)(x-1)=(x-1)^2[/tex]

Step-by-step explanation:

Factor [tex]x^2-2x+1[/tex]

[tex]x^2-2x+1=(x-1)(x-1)=(x-1)^2[/tex]

The height of the tree is 1.86 meters

Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. Therefore, the situation forms an equivalent ratio as follows;

height of Andres = 1.55 meters

length of tree shadow = 29.05 meters

length of Andres shadow = 24.2 meters

Using equivalent ratio,

height of Andres : height of tree  = length of Andres shadow : length of tree shadow

Therefore,

cross multiply

24.2x = 1.55 × 29.05

24.2x = 45.0275

divide both sides by 24.2

x = 45.0275 / 24.2

x = 1.86064049587

x = 1.86 meters

Therefore, the height of the tree is 1.86 meters

learn more on ratio here: https://brainly.com/question/25336051

Answer:

See below.

Step-by-step explanation:

Following order of operations:

177537+87439=264976

264976-19673=245303

So, 177537+87439-19673​ is equal to 245303.

-hope it helps