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ss7ja [257]
3 years ago
11

I really need help a lot pls help me if your smart;)

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

1. M

2. F

3. J

4. D

6. ∠FGH, ∠HGF, ∠G, Right ∠

7. ∠BCD, ∠DCB, ∠D, Acute ∠

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❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
tiny-mole [99]

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

6 0
3 years ago
Simplify log 4 - log 8
Leno4ka [110]

Answer:

-log2

Step-by-step explanation:

log4 - log8 = log2² - log2³

                    = 2log2 - 3log2

                    = (2 - 3)×log2

                    = (-1)×log(2)

                    = -log2

             

6 0
3 years ago
Simplify the expression.(–12m 38)
Ludmilka [50]
-6m+19
1/2(-12m+38) All we have to do is simply distribute the 1/2. 1/2(-12m) + 1/2(38) (-6m) + 19 <span>
</span>
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8.64

Step-by-step explanation:

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