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coldgirl [10]
3 years ago
14

Angle A and Angle B are vertical angles. If m

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

∠B = 17°

Step-by-step explanation:

Vertical angles are congruent, thus

5x + 7 = x + 15 ( subtract x from both sides )

4x + 7 = 15 ( subtract 7 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Hence

∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°

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and 2008 Classic Car Wash estimated its business would increase by 20% each year. if they washed 19,300 in 2008, how many cars c
professor190 [17]
Well, from 2008 to 2010 is just 2 years, so let's say the initial amount is the 19300 from 2008, how many will it be in 2010?

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &19300\\
r=rate\to 20\%\to \frac{20}{100}\to &0.20\\
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6 0
3 years ago
(3x + 3x²) + (2x² + 2x)?​
Galina-37 [17]

Answer:

=5x2+5x

Step-by-step explanation:

Let's simplify step-by-step.

3x+3x2+2x2+2x

8 0
3 years ago
Given JM=27, ml=16, jl=46, nk=15, KLM= 48, JkM=78, MJL=22, find each missing value.
Llana [10]

Answer:

KL = 27

JK = 16

MK = 30

NL = 23

m∠JKL = 132°

m∠KLJ = 22°

m∠KMJ = 54°

m∠KJL = 26°

Step-by-step explanation:

The given parameters of the quadrilateral JKLM are;

JM = 27, ML = 16, JL = 46, NK = 15, KLM = 48, JKM = 78, MJL = 22

Taking the sides as parallel, we have that quadrilateral JKLM is a parallelogram

Therefore;

KL = JM = 27

JK = ML = 16

m∠KLJ = m∠MJL = 22°

MN = NK = 15

MK = MN + NK = 15 + 15 = 30

NL = JL/2 = 46/2 = 23

m∠KJM = m∠KLM = 48°

m∠KJL = m∠KLM - m∠MJL = 48° - 22° = 26°

m∠KML = m∠JKM = 78°

m∠MKL = 180° - m∠KML - m∠KLM = 180° - 78° - 48° = 54°

m∠MKL = 54°

m∠JKL = m∠JKM + m∠MKL = 78° + 54° = 132°

m∠KMJ = m∠MKL = 54°

3 0
3 years ago
Consider the surface z = x 2+4y 2+1. Suppose you are walking on this surface directly above a curve C in the xy-plane, where the
Bess [88]

With x(t)=\cos t and y(t)=\sin t, we have

z(t)=x(t)^2+4y(t)^2+1

z(t)=\cos^2t+4\sin^2t+1

z(t)=3\sin^2t+2

Then z(t) has critical points where

\dfrac{\mathrm dz}{\mathrm dt}=6\sin t\cos t=3\sin2t=0

\implies\sin2t=0\implies2t=n\pi\implies t=\dfrac{n\pi}2

where n is any integer.

z(t) is increasing wherever \sin2t>0, which happens for

\dfrac{2n\pi}2

\boxed{n\pi

5 0
3 years ago
Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma
sasho [114]

Answer:

Step-by-step explanation:

Given that:

sin2xcos x + cos2xsin x = -1

Recall that;

SInAcosB + cosASinB = SIn (A+B)

SIn (2x +x) = -1

Sin (3x) = -1

x = \bigg [\dfrac{Sin ^{-1} (-1)}{3}  \bigg ]

x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}

x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}

5 0
3 years ago
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