Simplify the equation √-42×√-30

Answer:

Yes, by ASA congruence.

Step-by-step explanation:

Solving :

Hence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.

[tex]\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~

[tex] \large\textsf{Given information } [/tex]:

[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]

[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]

[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]

Answer:

X=4

Step-by-step explanation:

The solution is in the file

Using the mean concept, it is found that the simulated average time to cross town is of 0.445.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 10 values of the simulation are given by:

0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74

Hence, the mean is given by:

M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.

More can be learned about the mean concept at https://brainly.com/question/24628525

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Answer:

∠[tex]DEC[/tex]

Step-by-step explanation:

vertical angles are opposite angles that are made by 2 intersecting lines

Answer:

She had a total of 80 throws.

Step-by-step explanation:

4x20 (20x5%=100%) = 80, so she had 80 throws.

Answer:

d. [tex]a^2 =b(b+c)[/tex]

Step-by-step explanation:

Option d is the correct answer.

Step-by-step explanation:

m is for slope of the line that passes through

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{9 - 4}{3 - 9} [/tex]

[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]

Answer:

There isnt a whole number to awser this

Step-by-step explanation:

Answer:

8.4

Step-by-step explanation:

Add 8+8+8+9+9=42 then 42/5 equals 8.4

Hope this helps! ;-)

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4

See picture attached for the math

Answer:

Center: (0, -2)

radius: 8

Explanation:

Given equation: x² + (y + 2)² = 64

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) are points of center. r denotes radius

So rewrite the equation in circle formula:

x² +(y + 2)² = 64

(x- 0)² +(y + 2)² = 8²

Identify followings:

h = 0, k = -2, radius = 8

Answer: 3

Step-by-step explanation:

Answer:

75°

Step-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=90[/tex]

[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]

[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]

[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]

Answer: 60.5 in

Step-by-step explanation:

Area of rectangle = length times width

Length = 5.5 in

Width = 11 in

11 x 5.5 = 60.5

The area of the rectangle is 60.5 in

Given :-

To find :-

Solution:-

Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents

Area of pane :- 30×56cm²

Area of pane :- 1680cm²

Cost of pane :- 1860×25 cents

Cost of pane :- 42000 cents or 420$

Step-by-step explanation:

a = 2

b = 1

c = 4

[tex]3ac - a + 2b[/tex]

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

Answer:

D.

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

According to the fundamental theorem of algebra.

The polynomial function has only exactly 6 roots.

The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.

If the degree of the variable is n then the number of the roots will be n or less than n.

If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.

Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

X=7

Step-by-step explanation:

3x+4=25 (Subtract 4 on both sides)

3x=21 (Divide by 3 on both sides)

x=7

Answer: x is a variable and the number the variable is standing for is 7

Step-by-step explanation:

3x7=21 .. 21+4=25

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex] log_{4}x = k \\ \\ \longrightarrow \: log_{4}x = log_{2 {}^{2} }x \\ \\ \longrightarrow \: 2 log_{2}x \\ \\ now , \\ \\ log_{2}x = k \\ \\ \therefore \: 2( log_{2}x) = 2(k) \\ \\ \longrightarrow \: 2k[/tex]

hope helpful ~