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3 years ago

What is the measurement of this angle?

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

I can’t see it can you add a better picture

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PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)

ExtremeBDS [4]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}$

$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23$

side note: multiplying by the LCD of both sides is just to get rid of the denominators

5 0

3 years ago

PLS HELPPPP Solve 3x2 + 18x + 15 = 0 by completing the square. I CANT FIND REAL ANSWER!

Dmitriy789 [7]

Answer:

x = − 1 , − 5

7 0

3 years ago

Read 2 more answers

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

Given:

There were 120 people in total.

60% were parents.

To find:

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

3 years ago

1. Given the following diagram. (a) Name the minor arc __________ Name the major arc ___________ (b) If the minor arc is 112°, w

Dmitriy789 [7]

Answer:

a) XY , XVY

b) 248°

c) UV , UY

d) 6√5 = 13.42

Step-by-step explanation:

a) The minor arc is XY

The major arc is XVY

b) ∵ The measure of the minor arc is 112°

∵ The measure of the circle is 360°

∴ The measure of the rest arc = 360 - 112 = 248°

c) UV is the tangent to the circle

UY is the secant to the circle

d) ∵ UV is a tangent to the circle at V

∵ UY is a secant to the circle

∴ (UV)² = (UX) × (UY)

∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20

∴ (UV)² = 9 × 20 = 180

∴ UV = √180 = 6√5 = 13.42

6 0

3 years ago

the number is less than 190,000 and greater than 180,000, 5000 more than the number has 187 thousands, 200 less than the number

jarptica [38.1K]

187000-5000=182000
182400+200=182600
The number is 182,600

5 0

3 years ago