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3 years ago

Angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4

Mathematics

1 answer:

kvasek [131]3 years ago

6 0

9514 1404 393

Answer:

∠4 = 45°

Step-by-step explanation:

Angles 1, 2, and 4 are all congruent.

∠4 = ∠2

x +30 = 2x +15

15 = x . . . . . . . . . . . . . subtract x+15

x + 30 = 45 = ∠4

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3 years ago

In the expression , 8.92 x 10^3 , which number is the base ?

GarryVolchara [31]

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3 years ago

A circle has a radius of 98 units and is centered at (5.9,6.7) write the equation of the circle

Hoochie [10]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

radius = √98

center = (5.9,6.7)

equation of the circle = ?

Step 02:

Equation of the circle

(x - a) ² + (y - b) ² = r ²

(a , b) = center

(x - 5.9) ² + (y - 6.7) ² = (√98) ²

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The answer is:

(x - 5.9) ² + (y - 6.7) ² = 98

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1 year ago

Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.

Elis [28]

ANSWER

$- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

$|v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2}$

The unit vector in the direction of this vector is

$= \frac{v}{ |v| }$

$= - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j$

$= - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

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3 years ago

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spayn [35]

$\bf \textit{quadratic formula}\\\\

\begin{array}{lcclll}
1x^2&-6x&+12&=0\\
\uparrow &\uparrow &\uparrow \\
a&b&c
\end{array}
\qquad \qquad 
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}$

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3 years ago