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2 years ago

Gives 40 points! Answer quick!

Mathematics

1 answer:

Tcecarenko [31]2 years ago

7 0

Since CB || ED and CB = ED,

by the alternate interior angles theorem,
mE = mC, and mD = mB.

with CB = ED, we can conclude that CBF = EDF, by SAS congruent theorem.

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The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation t

Sati [7]

Answer:

$|x - 85| = 12$

$x = 73 \ (smaller\ number )$

$x = 97 \ (larger \ number )$

Step-by-step explanation:

From the question we are told that

The grade is $k = 85\%$

The variation is $v = 12 \%$

Generally the absolute value equation is mathematically represented as

$|x - 85| = 12$

=> $x -85 = \pm 12$

$x = 85 + 12$

$x = 97 \ (larger \ number )$

And

$x = -12 + 85$

=> $x = 73 \ (smaller\ number )$

4 0

2 years ago

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Drupady [299]

Answer: W = -4, -4

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Step-by-step explanation:

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2 years ago

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Sales rise from £400 a week to £504 a week. Calculate the percentage increase

Andrew [12]

Answer:

26%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

Here, the new number is £504, and the old number is £400.

percent change = (£504 - £400)/(£400) * 100% =

= £104/£400 * 100% = 0.26 * 100% = 26%

5 0

3 years ago

A lawyer has an annual income of $173,482 and will pay a 5.5% income tax rate. What is the amount of income tax in dollars and c

gayaneshka [121]

Answer:

173,482-5.5=173,476.5

4 0

3 years ago

Find x in the following diagram

andreyandreev [35.5K]

Answer:

x = 71

Step-by-step explanation:

The sum of the measures of the exterior angles of a polygon is always 360°.

A triangle has 3 exterior angles.

152+ 137+x = 360

Combine like terms

289 +x = 360

Subtract 289 from each side

289-289+x=360-289

x = 71

8 0

3 years ago