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3 years ago

These figures are congruent.What is the measurement of E?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

Answer:

they are congruent so e=44°

Step-by-step explanation:

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Help with my homework. Please.

garik1379 [7]

Answer:

Step-by-step explanation: since average speed = total distance/time

a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5

b)journey from my home town to B = 20 miles/30 minutes = 0.7

c)10 miles + 20 miles = 30 miles

which takes 50 minutes

so: 30 miles/50 minutes = 0.6

5 0

2 years ago

What is the volume of the cone? Use π ≈ 3.14.

BARSIC [14]

Answer:

12.56 cubic units on edge

Step-by-step explanation:

6 0

2 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

1 11 f(x) = 2x² – 7x - 1 g(x) = 4x + 5 Find: go f(8)

Snezhnost [94]

Answer: 71

Step-by-step explanation:

F(8)= 2(8)^2-7(8)-1

=71

6 0

3 years ago

What is the best estimate of the sum of the fraction? 31/4 +17/3 +8/18

Bogdan [553]

The best estimate of the sum of the expression given is $\rm 13 \dfrac {31}{26}$

What is a Fraction ?

A fraction is written as p/q , where q $\rm \ne$ 0

It is asked to determine the sum of the fraction

31/4 + 17/3 + 8/18

Taking the LCM of 4 , 3 , 18

LCM of 4 , 3 ,18 is 36

Therefore

$\rm \dfrac{ 31 *9 + 17 *12 + 8 *2}{36 }$

(279+204+16) /36

499 / 36

$\rm 13 \dfrac {31}{26}$

Therefore the best estimate of the sum of the expression given is $\rm 13 \dfrac {31}{26}$ .

To know more about Fraction

brainly.com/question/10354322

#SPJ1

3 0

1 year ago