One of the angles of a triangle is equal to the sum of the other two. If the ratio of the
other two angles is 2:3, then the angles are ______________.

Answer:

d seems like the only one that would be correct

Step-by-step explanation:

lmk if this is wrong

Answer:

5a + 9b

Step-by-step explanation:

Combine like terms

9a + 6b - 4a + 3b

- 4a + 9a = 5a

6b+3b=9b

so 5a+9b

Answer:

= 5a+9b

Step-by-step explanation:

hope this helps :)

Answer:

267.95 dm³

Step-by-step explanation:

Volume of a sphere of radius r is V = (4/3)πr³

In this case, V = (4/3)(3.14)(4 dm)³ = 267.95 dm³

In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm then the radiu of the circumcircle is 39

A chord is the line segment joining two points of the circumference of a circle as shown in the image attached.

If the chord is passing through the center of the circle then it will become diameter which means the diameter is the longest possible chord inside a circle.

A chord is always within the circumference because it is inside the circle.

Whats the definition of a circumference?

a line that goes around or encloses a circle. : the outer boundary of a figure or area. 3. : the distance around something. the circumference of the earth at the equator.

since ABC is an equilateral triangle

therefore SD bisects BC

BD= BC/2

BD= 36

IN Triangle ABC

since angle BDS = 90 degree

Therefore

BS = 39

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Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

The rule of three is used to link the measures because a proportion is a fraction of a total amount. It is possible to construct equation or relations between variables that are either direct (when both rise or decrease) or inverse proportional (when one increases and the other declines, or vice versa) in order to determine the necessary measures in the situation.

Here,

Given :

Siobhan and Ralph shared £700 in the

ratio 2:3.

Thus,

280 / 420 = 2/3

Thus,

Siobhan and Ralph has  £280 and £420  respectively.

and Siobhan gave a share of quarter to karen :

So,

280/4 =70

Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

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Answer:

Collect like terms, ie do 9n-4n = 5n ...

5n will then be exactly divisible by 5 as 5n / 5 = n

The relationship between the line of reflection and the segments connecting the corresponding points is perpendicular bisector.

Here we have to find the relationship between the line of reflection and the segments connecting the corresponding points

In order to find the relationship we must know what is meant by line of reflection.

The term line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.

As per the definition of the term we have identified that the relationship between these two element is perpendicular to the segment and bisects it. Because the line of reflection is the perpendicular bisector of the segment joining corresponding points of the preimage and image.

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Answer:

C. 24

Step-by-step explanation:

The LCM is the least common multiple between two or more numbers.

6: 6, 12, 18, 24, 30, 36, 48, 54

8: 8, 16, 24, 32, 40, 48, 54, 64

24 is the smallest number both numbers have in common.

Therefore, 24 is the least common multiple.

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{-2 +2}{2} \implies \cfrac{ 0 }{ 2 } \implies \text{\LARGE 0}[/tex]

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 2 ) and (x₂, y₂ ) = (5, - 2 )

m = [tex]\frac{-2-(-2)}{5-3}[/tex] = [tex]\frac{-2+2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

Answer:

D

Step-by-step explanation:

Answer:

as in what class period are you so for example

period 1:math etc

Answer:

im guessing they meant classes, they probably asked what time are your classes in 7th grade... ( I.D.K.  i tried my best lol)

Step-by-step explanation:

The unknown angles in the parallel lines are as follows;

x = 28

y = 23

When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.

using vertical angles and same side interior angles,

5y - 4 + 3y = 180 (same side interior angles are supplementary)

8y - 4 = 180

8y = 180 + 4

8y = 184

divide both sides by 8

y = 184 / 8

y = 23

Hence,

3y  = 2x + 13(corresponding angles)

corresponding angles are congruent.

Hence,

3(23) = 2x + 13

69 - 13 = 2x

2x = 56

x = 56 / 2

x = 28

Therefore,

x = 28

y = 23

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Probability of getting a vowel or an even number

Answer:

150.35 units²

Step-by-step explanation:

area of full circle = πr² = (3.14)(13²) = 530.66 units²

area of 102° segment = (102/360)(530.66) = 150.35 units²

The degree of the polynomial  [tex]2yA^2yA^32y^8[/tex] is 15

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2yA^2yA^32y^8[/tex]

The total sum of power is: 1+2+1+3+8=15

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Answer:

Step-by-step explanation:

radius r = 3.9 in

height h = 14.3 in

slant height s = 14.822280526289 in

volume V = 227.76860897791 in3

lateral surface area L = 181.60571368226 in2

base surface area B = 47.783624261101 in2

total surface area A = 229.38933794336 in2

In Terms of Pi π

volume V = 72.501 π in3

lateral surface area L = 57.806894052526 π in2

base surface area B = 15.21 π in2

total surface area A = 73.016894052526 π in2

Answer:

x = 5/3

Step-by-step explanation:

6x + 11 = 21

6x = 10

x = 10/6

x = 5/3

Let's check

6(5/3) + 11 = 21

30/3 + 11 = 21

10 + 11 = 21

21 = 21

So, x = 5/3 is correct!

A semi-circular protractor with a diameter of 15 cm has the perimeter of 38.5 cm.

What is the perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

The formula for perimeter of a semi-circle is -

πr+2r

Where r is the radius of the semi-circle.

The diameter d of semi-circle is 15 cm.

The radius of the semi-circle is -

r=d/2

r=15/2

r=7.5 cm

Plugging the values in the equation -

=πr+2r

=(3.14)(7.5)+2(7.5)

=23.5+15

=38.5 cm

Therefore, the value for perimeter is obtained as 38.5 cm.

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Answer: 59

Step-by-step explanation: angle 3 is equal to angle 6 and to find angel 3 do 180-121

The numercial expressions that can be compared without calculating the values include:

3x^2 + 4x - 5 > 2x^2 + x - 3

2/x < 4/x

In 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.

For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.

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The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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It means that the grocer has to pay $1.38 for each pound of strawberries. So the constant of proportionality for this scenario is $1.38

Proportionality is a mathematical relationship between two variables, where the ratio of one variable to the other is always the same, regardless of the values of the variables. The variables are said to be in proportion if there is a constant of proportionality "k" such that one variable is equal to "k" times the other variable. In other words, if y is proportional to x, the relationship is represented by an equation of the form y = kx, where "k" is the constant of proportionality.

A constant is a value that does not change. In mathematical terms, it refers to a value in an equation that remains the same and does not depend on the variables. For example, in the equation y = kx, "k" is a constant. It is a fixed numerical value that relates two variables in a proportionality relationship. Constants can be represented by a number, a letter or a symbol.

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Center : Mean  Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5  After the introduction of the new course, center =  average(121,134,106,93,149,130,119,128,45) = 113.9  The center has moved to the left (if plotted in a graph) because of the low intake for the new course.  Spread before introduction of the new course :  Arrange the numbers in ascending order:  (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132  Spread = Interquartile range = Q3-Q1 = 19.5  After addition of the new course,

(45,93, 106,119,) 121, (128, 130,134, 149)

Q1=median(45,93,106,119)=99.5

Q3=median (128, 130,134, 149)= 132

Spread = Interquartile range = 132-99.5 =32.5

We see that the spread has increased after the addition of the new course.