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4 years ago

Could someone help me answer this? Solve -2log8(x + 1) = -8. Thanks so much!

1 answer:

8 0

Step one, divide both sides by -2
log8(x+1)=4

if the base is 10, and the 8 is together with (x+1): (cannot tell from the way it is written)
8(x+1)=10^4=10000
x+1=1250
x=1249

if the 8 is a base,
8^4=(x+1)
x+1=4096
x=4095

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

Is x = 12 a solution to the inequality below? 5 >12/x yes no

denis23 [38]

Plug x= 12 in the inequation 5>12/x, we have:
5> 12/12
⇒ 5>1 (correct).

So yes, x=12 is a solution to the inequation~

3 0

4 years ago

7. The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles. what is the image of oh after a rotation of 18

velikii [3]

Answer:

The image of OH is ON.

Step-by-step explanation:

Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.

The dashed line segments form 30 degree angles.

If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.

Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.

The line OH and ON lies on a straight line therefore the image of OH is ON.

3 0

4 years ago

Need help with my work!

malfutka [58]

Answer:

look at explanation

Step-by-step explanation:

1) 3d - 8

2) g - 2 = 14

3) 7 + z

4) 6 + s = 2/5x

5) 10 - x

6) 5a - 3

7) 9 + s

8) h - 9

hope this helps! :)) xoxo raina *

7 0

3 years ago

PLS HELP GIVING BRAINLIEST Turner Middle School has 525 boys, 625 girls, 58 teachers, and a supporting staff of 12 employees. Th

viva [34]

Answer:

Step-by-step explanation:

Number of students = 525+625=1 150

The number of people = 525+625+58+12=1 220

let x represent the amounot of water consumed by students

1220———————>1 267 760

1150———————> x

then

x = (1 150×1 267 760)÷1 220 = 1 195 019.67213115

4 0

3 years ago