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3 years ago

Suppose BCA is congruent to EDA. Using only the information provided in this problem, can you use the

Mathematics

2 answers:

uranmaximum [27]3 years ago

7 0

Answer:

A. By SAS only

Step-by-step explanation:

Side Side Side postulate (SSS) states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In triangles ABC and AED:

sides ACand AD are congruent (from the diagram);
angles BCA and EDA are congruent (given);
sides BC and ED are congruent (from the diagram).

So, SAS postulate can be applied.

SSS postulate cannot be applied, because it is not given that sides AB and AE are conruent.

grin007 [14]3 years ago

3 0

Answer:

ΔABC and ΔAED are congruent to each other by SAS rule.

Step-by-step explanation:

We are given a figure in the question.

The figure shows that:

AC = AD, BC = ED, ∠BAC = ∠EAD

We are also given that triangle BCA is congruent to triangle EDA.

Now, we need to prove that triangle ABC is congruent to triangle AED.

We will use SAS criterion of congruence.

In ΔABC and ΔAED,

AC = AD, ∠BAC = ∠EAD, , BC = ED( all given in the figure)

Hence, the two triangles are congruent to each other by SAS rule.

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If f(x) = 3x -11 , find -4f (-3)

gladu [14]

Answer:

Step-by-step explanation:

-4f(x)=-12x+44

-4f(-3)=36+44=80

6 0

3 years ago

Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the

beks73 [17]

In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: $m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t} }$
where
$m$ is the monthly payment
$P$ is the amount
$r$ is the interest rate in decimal form
$t$ is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
$\frac{4}{100} =0.04$
We also know from our question that $P=224500$ and $t=30$ , so lets replace those values into our formula to find the monthly payment:
$m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)} }$
$m=1071.80$

We can conclude that the monthly payment during the initial period is $1071.58<span />

7 0

3 years ago

Solve using any method. All work must be shown and handwritten.

Rashid [163]

Answer:

$x = - 3$