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3 years ago

MATH HELP PLEASE

Mathematics

2 answers:

ddd [48]3 years ago

7 0

Answer:∠EFG is an interior angle of ΔEFG.

∠FEZ is an exterior angle of ΔEFG.

∠EGF and ∠FGY are supplementary angles.

are the correct ones.

Step-by-step explanation:

Which statements regarding the diagram are true? Check all that apply.

∠XFG is an interior angle of ΔEFG.

∠EFG is an interior angle of ΔEFG.

∠FEZ is an exterior angle of ΔEFG.

∠YGE is an exterior angle of ΔEFG.

∠EGF and ∠FGY are supplementary angles.

∠FEG and ∠FGE are supplementary angles.

Answers 2, 3, and 5 are the right answers.

Umnica [9.8K]3 years ago

6 0

Answer: The explanation that whether given statement are correct or not is mentioned below.

Step-by-step explanation:

Linear angles are complementary.

Linear angles are complementary is incorrect.

Because, the sum of linear angles is always supplementary(180°).

And, two angles are called complementary if there sum is 90°.

Corresponding angles are congruent is not correct always.

Since it is possible if they are made on parallel lines by the same transversal.

Alternate interior angles are supplementary is not correct always.

Because, Alternate interior angles are formed when a transversal passes through two lines.

Their sum is only supplementary if they are made by perpendicular transversal on parallel lines.

Alternate exterior angles are linear is not correct.

Because, their sum is not equal to 180°.

And, Their sum is only supplementary if they are made by perpendicular transversal on parallel lines.

Vertical angles are supplementary is not correct.

Because, their sum is not equal to 180°.

The sum of the angles of a triangle is 180 degrees is correct.

Because the sum of all interior angles of a polygon is n(n-2)×180° and for Δ, n=3.

Same side interior angles are complementary is not always correct.

If they are made on the parallel lines by the same transversal then their sum is supplementary.

Linear angles are adjacent is correct.

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

Vertical angles are adjacent is not correct.

Because Vertical Angles are the angles opposite each other when two lines cross.

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kap26 [50]

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

1239 1682

1514 1851

1937 1367

1454 2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

Compute the z-score for the group "25 to 34" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37$

Compute the mean and standard deviation for the group "45 to 54" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39$

Compute the z-score for the group "45 to 54" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

8 0

3 years ago

Find the coordinates of the midpoint between point A(-5, -9) and the origin

Anestetic [448]

Midpoint is (-2.5 , -4.5)

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3 years ago

Read 2 more answers

I do not understand what subscript numbers mean

alekssr [168]

Answer:

subscripts identify different instances of objects that have a similar meaning or definition

Step-by-step explanation:

You apparently are interested in the meaning of the subscript N in the explicit formula ...

$A_N=\dfrac{7N}{N+5}$

Here, it is used to identify different terms of a sequence. When a value is substituted for N, it replaces all instances of N. Using your example, the first three values of $A_N$ are ...

$\text{for N=1: }A_1=\dfrac{7\cdot 1}{1+5}=\dfrac{7}{6}\\\\\text{for N=2: }A_2=\dfrac{7\cdot 2}{2+5}=\dfrac{14}{7}=2\\\\\text{for N=3: }A_3=\dfrac{7\cdot 3}{3+5}=\dfrac{21}{8}$

So, if you're asked to find the 20th term of the sequence, you put 20 where N is, then do the arithmetic.

Subscripts are also used to identify elements of a matrix or coordinates in multiple dimensions. For this purpose, there may be 2 (or more) subscripts, whose order has meaning. The subscripts 24, for example, in $A_{24}$ refer to row 2, column 4 of a matrix named A. That is, the subscripts are in row, column order.

In short, subscripts are used to identify different instances of similar objects.

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3 years ago

PQR is a right angled triangle with angle R 90 According to Pythagoras rule

vazorg [7]

Answer:

The Pythagorean Theorem states that $a^2+b^2=c^2$

Step-by-step explanation:

This formula applies to the side lengths and means that the length of leg "a" squared, plus the length of leg "b" squared, will equal the length of hypotenuse "c" squared. Please state a more specific question so I can go into more detail if you need it :)

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3 years ago

Type the integer that makes the following addition sentence true: + 83 = 19

OLEGan [10]

Answer:

The answer is: -64

Step-by-step explanation:

To get the answer of -64, you would have to subtract. To subtract you would use this equation: 19 - 83. This would get you -64. To double check your answer, you would add -64 + 19 to make sure your answer is 83.

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3 years ago