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3 years ago

Help ASAP with these

Mathematics

1 answer:

Fittoniya [83]3 years ago

4 0

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

Statement Reasons

1. AD ≅ BC . 1. Given

2. AD || BC 2. Given

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.

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A Geometric series has a first term of 4 and a common ratio of 6. what formula is equivalent to the partial sum of the first n t

IRISSAK [1]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=6
\end{cases}
\\\\\\
S_n=4\left( \cfrac{1-6^n}{1-6} \right)\implies S_n=4\left( \cfrac{1-6^n}{-5} \right)$

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3 years ago

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine th

dangina [55]

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

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2 years ago

Find the product.<br> enter your answer in simplest form.<br><br> 6x2/3 = _=_

Ivenika [448]

Answer: 4

Step-by-step explanation:

6 • 2/3 =
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6 0

3 years ago

The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?

Reil [10]

Answer:

x = 1

Step-by-step explanation:

Remember that the axis of symmetry is exactly halfway between the x-intercepts. Find the average of -3 and 5 to obtain this x-value: It is:

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4 0

3 years ago

A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c

tensa zangetsu [6.8K]

Given:
p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.
E = 1.5% = 0.015, margin of error
95% confidence interval.

The standard error is
Es = $\sqrt{ \frac{p(1-p)}{n} }$
where
n = the sample size.

The margin of error is
$E=z^{*}E_{s}$
where
z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.
The 95% confidence interval is
p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)

Answer:
The 95% confidence interval is between 6.1% and 9.1%.

3 0

3 years ago