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3 years ago

. What's the correct letter name for Ð1 below? A. B. C. D.

Mathematics

1 answer:

aksik [14]3 years ago

4 0

The answer seems to be C

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Find four consecutive even integers whose sum is 84. Find the integers.

mina [271]

Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.

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3 years ago

The vertices of ΔABC are A(2, -5), B (-3, 5), and C (3, -3). The triangle is reflected over the x-axis. Use arrow notation to de

Artyom0805 [142]

Reflected over the x-axis: $A'(2,-5),B'(-3,-5),C'(3,3)$ . Hence, the original triangle is described by A'B'C'.

8 0

3 years ago

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What is the solution of 5x+4=7

Nastasia [14]

The solution is x = 3/5

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3 years ago

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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

Simplify 12 + 3(2x - 3) + 4.

raketka [301]

Answer:

7 + 6x

Step-by-step explanation:

12 + 3(2x - 3) + 4 =

12 + 6x - 9 + 4 =

7 + 6x

6 0

3 years ago