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marin [14]
3 years ago
13

ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. prove that ∆ ABC ≅ ∆DEF

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

Triangles ABC and DEF have the following characteristics :B and E are right angles A=D, BC=EF which congruence theorem can be used to prove ABC =DEF

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What will be the value in twenty years of $1000 invested at the end of each year for the next twenty years?
denis23 [38]
The formula for yearly compound interest is A(1 + r)^t

Where is A = 1000, r = 8%, t = 20

1000(1 + .08)^{20} = 4660.96

The answer is $4660.96
3 0
3 years ago
What is the measure of the indicated angle?<br><br> 180°<br><br> 6°<br><br> 84°<br><br> 96°
sleet_krkn [62]

Answer:

84°

Step-by-step explanation:

since the opposite side looks identical to the first angle, the second would be the same degrees.

3 0
2 years ago
Read 2 more answers
What is the perimeter of the triangle?<br> unit
FinnZ [79.3K]

Answer:

<h2>36 units</h2><h2></h2>

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

7 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu
julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as  under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/\sqrt{1492}

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

#SPJ4

8 0
2 years ago
Solve for x and then find the measure of Angle B<br><br> Angle B =
Snezhnost [94]

Answer:

5

Step-by-step explanation:

thanks for the points

8 0
3 years ago
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