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3 years ago

Does anyone know what I am missing to get the final mark? Any ideas would be much appreciated :)

Mathematics

1 answer:

Law Incorporation [45]3 years ago

5 0

Answer: Isosceles

<u>Step-by-step explanation:</u>

Given: AB || DE , BC is a transversal

∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°

∠DCA, ∠ACB, & ∠BCA are supplementary --> ∠ACB = 50°

By the Triangle Sum Theorem, ∠A+∠B+∠C = 180° --> ∠CAB = 50°

Triangle is isosceles because ∠A ≅ ∠C

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In the order of operations, expressions inside parentheses are evaluated before exponents.

Morgarella [4.7K]

Im guessing the answer is true.... not 100% sure tho

4 0

3 years ago

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Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ag

ivanzaharov [21]

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is $J=7 years$

John age $J'=(D-16)years$

Dave's age a Year ago

$D-1=2(J-1+J'-1)$

So that Dave.s age this Year could be

$D=2((J-1)+(J'-1))+1$

Simplifying Equation for Dave's age we have

$D=2((7)-1+(D-16)-1)+1$

$D=2(6+D-15)+1$

$D=2(D-9)+1$

$D=2D-18+1$

$D=17 Years$

Dave is 17 years old

Therefore

Johns age is

$J'=(D-16)$

$J'=17-16$

$J'=1year old$

John is 1 year old

7 0

3 years ago

What is the slope of the line that passes through the points (-7,-4) and (-11,-2)? In simplest form

Serjik [45]

Answer:

Slope=-1/2

Step-by-step explanation:

Slope =(y2-y1) /(x2-x1)

A(-7,-4).... x1 =-7,y1 =-4

B(-11,-2)... x2=-11,y1=-2

Slope=(-2-(-4))/(-11-(-7))

Slope=(-2+4)/(-11+7)

Slope=2/(-4)

Slope=-1/2

3 0

3 years ago

I'm sorry but these are the multiple choice answers.

Sunny_sXe [5.5K]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}&
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &200\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four quarters}
\end{array}\to &4\\

t=years\to &12
\end{cases}
\\\\\\
A=200\left[ \cfrac{\left( 1+\frac{0.07}{4} \right)^{4\cdot 12}-1}{\frac{0.07}{4}} \right]$

7 0

3 years ago

Which is larger 4.5 or 9/2

Murrr4er [49]

Answer:

Both are equal

4.5 = 9/2

4.5 = 4.5

Hope it will help :)

6 0

2 years ago

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