All categories

3 years ago

ASAP _________________

Mathematics

2 answers:

grandymaker [24]3 years ago

6 0

Answer: OPTION A.

Step-by-step explanation:

Since the sum of the interior angles of a quadrilateral is 360 degrees.

We can write the following expression:

$m\angle C+m\angle BED+m\angle CBE+m\angle D=360\°$

We know that ABEF≅CBED. Then:

$m\angle A=m\angle C\\\\m\angle F=m\angle D$

Substituting and solving for $m\angle A$ , we get:

$m\angle A+82\°+152\°+98\°=360\°\\\\m\angle A=360\°-82\°-152\°-98\°\\\\m\angle A=28\°$

Paladinen [302]3 years ago

5 0

Answer:

A. 28°

Step-by-step explanation:

Given,

angle BED=82° , angle CBE=152°

ABEF=CBED

which means,all the corresponding sides and angles are equal of the two quadrilaterals,i.e., they are congruent to each other.

As such,angle AFE=angle EDC=98°

and , angle A=angle BCD

Now, considering the quadrilateral CBED,

angleCBE+angleBED+angleEDC+angleBCD=360°

So,98°+82°+152°+angleBCD=360°

or,angleBCD=360°-332°=28°

You might be interested in

the salesman claims that the new machine can produce more items in an 8-hour workday than the old machine is the salesmans claim

FromTheMoon [43]

Answer:

Step-by-step explanation:

the salesman's claim is false because the new machine only makes 20 items an hour and the old one makes 25. So in 8 hours the new machine will only make 160 items and the old one will make 200

5 0

3 years ago

line p contains points A(-7,-9) and B(4,0) line q is parallel to line p line r is perpendicular to line q what is the slope of l

igomit [66]

Use the slope formula (y2-y1)/(x2-x1)
(0+9)/(4+7)=9/11
Since q is parallel to r the slope will be the same. 9/11 is the slope of line r

4 0

4 years ago

A national survey indicated that 50% of adults conduct their banking online. It also found that 20% are younger than 50, and

Arisa [49]

Answer:

The probability that a person is younger than 50 given that she uses onling banking is 1.5%

Step-by-step explanation:

The survey indicated that 50% of adults conducts their banking online.

P(online banking customers) =1/2

Of the total number of customer that bank online, the survey stated that 20% of them are younger than 50 years.

P(customers younger than 50 yrs) =1/5

Out of the 20% than are younger than 50, we were told that 15% of them conduct online banking.

P(younger than 50 online banking customer) =3/20

Therefore the the probability that a = person is younger than 50 given that she uses online banking is P = 3/20*1/5*1/2 =17==3/200 = 0.015 =1.5%

The probability that she is younger than 50 does not increase or decrease with additional information, it only makes it clearer.

3 0

4 years ago

a nursery owner buys 5 panes cost $14.25. unfortunately, she breaks 2 more panes while reparing the damage. what is the cost of

miskamm [114]

Divide the total cost by all 5 panes to get the cost of 1 pane:

14.25/5 = 2.85

Then multiply by 2:

2.85 * 2 = $5.7

8 0

3 years ago

Read 2 more answers

The authors of a paper presented detailed case studies to medical students and to faculty at medical schools. Each participant w

stealth61 [152]

Answer:

0.623

Step-by-step explanation:

We have to find the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high i.e.P(C/H)=?

Using Bayes' theorem the probability can be computed as

$P(C/H)=\frac{P(C)P(H/C)}{P(C)P(H/C)+P(I)P(H/I)}$

We are given that

P(C) = 0.262 , P(H/C) = 0.344 , P(I) = 0.738 and P(H/I) = 0.074.

So,

$P(C/H)=\frac{0.262(0.344)}{0.262(0.344)+0.738(0.074)}$

$P(C/H)=\frac{0.0901}{0.0901+0.0546}$

$P(C/H)=\frac{0.0901}{0.1447}$

$P(C/H)=0.6227$

P(C/H)=0.623 (rounded to three decimal places).

Thus, the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high is 0.623.

3 0

3 years ago