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2 years ago

Solve for x. Round your answer to the nearest tenth. (one decimal place) X=?? degrees

Mathematics

1 answer:

fredd [130]2 years ago

4 0

Answer:

<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>

<u>Use tangent:</u>

tan x = 8/15
x = arctan (8/15)
x = 28.1° (rounded)

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GEOMETRY ONE QUESTION PLZ HELP

earnstyle [38]

Segment addition postulate
Substitution
Distribution Property of Equality
Simplification, or Adding like terms
Subtraction property
Division Property

7 0

3 years ago

What is ∑n=16[4(−5)n−1] equal to?<br><br> Enter your answer in the box.

Cerrena [4.2K]

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

4 0

2 years ago

A radio station is having a T-shirt design contest. The first prize is four times the second prize. The second price is four tim

hammer [34]

Answer:
The first prize is $800.

Explanation:
Third price = $50
The second price = $50(4) = $200
The first prize = 4($200) = $800

6 0

3 years ago

Keenan will run 2.5 miles from his house to Jared’s house. He plans to hang out for 45 minutes before walking home. If he can ru

jenyasd209 [6]

Answer:

Kennan will be from home approximately an hour and 48 minutes.

Step-by-step explanation:

We must know that total time ( $t_{T}$ ) that Keenan will be from home is the sum of run ( $t_{R}$ ), hang out ( $t_{H}$ ) and walk times ( $t_{W}$ ), measured in hours:

$t_{T} = t_{R}+t_{H}+t_{W}$

If Keenan runs and walks at constant speed, then equation above can be expanded:

$t_{T} = \frac{x_{R}}{v_{R}}+t_{H}+ \frac{x_{W}}{v_{W}}$

Where:

$x_{R}$ , $x_{W}$ - Run and walk distances, measured in miles.

$v_{R}$ , $v_{W}$ - Run and walk speeds, measured in miles per hour.

Given that $x_{R}=x_{W} = 2.5\,mi$ , $v_{R} = 6\,\frac{mi}{h}$ , $v_{W} = 4\,\frac{mi}{h}$ and $t_{H} = 0.75\,h$ , the total time is:

$t_{T} = \frac{2.5\,mi}{6\,\frac{mi}{h} } + 0.75\,h+\frac{2.5\,mi}{4\,\frac{mi}{h} }$

$t_{T} = 1.792\,h$ ( $1\,h\,48\,m$ )

Kennan will be from home approximately an hour and 48 minutes.

7 0

3 years ago

If the following system of equations was written as a matrix equation in the form AX = C,? and matrix A was expressed in the for

Tomtit [17]

The value of the expression a - b + c + d will be 7.

<h3>What is the matrix?</h3>

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9

Then the equations can be written in the form of matrix. Then we have

$\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}$

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

More about the matrix link is given below.

brainly.com/question/9967572

#SPJ1

3 0

2 years ago