Mathematics: Use rectangle ABCD with diagonal DB.Find the measure of the angle marked x.

Use rectangle ABCD with diagonal DB.Find the

Ответ:

fatiyam2

03.02.2022

Mathematics

x = 41°

Step-by-step explanation:

A rectangle has 4 right angles, that is, each interior angle = 90°.

Therefore, the measure of the angle marked x is calculated as follows:

x + 49° + 90° = 180°

Solve for x

x + 139 = 180

Subtract 139 from each side

x + 139 - 139 = 180 - 139

x = 41°

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Ответ:

thekid3176

17.04.2022

Mathematics

We'll solve for each one of them:

$\sum_{i=1}^{4}4(5)^{i-1} = (4(5)^{1-1}) + (4(5)^{2-1}) + (4(5)^{3-1}) + (4(5)^{4-1})$
=4+20+100+500 = 624

$\sum_{i=1}^{5}3(4)^{i-1} = (3(4)^{1-1}) + (3(4)^{2-1}) + (3(4)^{3-1}) + (3(4)^{4-1}) + (3(4)^{5-1})$
=3+12+48+192+768=1023

$\sum_{i=1}^{2}5(6)^{i-1} = (5(6)^{1-1}) + (5(6)^{2-1})$
=5+30=35

$\sum_{i=1}^{4}5^{i-1} = (5^{1-1})+(5^{2-1})+(5^{3-1})+(5^{4-1})$
=1 + 5+ 25+125 = 156

So, our totals are: 624, 1023, 35, and 156. So clearly, 1023 > 624 > 156 > 35. W can write it as (your answer):

$\sum_{i=1}^{2}5(6)^{i-1}$

Hope this helps! If anything is confusing, you can always DM me.

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Use rectangle ABCD with diagonal DB.Find the measure of the angle marked x.

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