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3 years ago

What is the measure of x? Please help me.

Mathematics

1 answer:

butalik [34]3 years ago

4 0

Step-by-step explanation:

111°+122°+103°+90°+x=540°(sum of angle of pentagon)

426+x=540°

x=540-426

x=114°

hope it helps.

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

3 0

3 years ago

Match the expression to its simplified form.

omeli [17]

Answer:

Step-by-step explanation:

5³ = 5 × 5 × 5 = 125

$2^{5}$ = 2 × 2 × 2 × 2 × 2 = 32

$5^{-2}$ = $\frac{1}{5^{2} }$ = $\frac{1}{25}$

$2^{-4}$ = $\frac{1}{2^4}$ = $\frac{1}{16}$

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2 years ago

Given measure of arcs, solve for the unknown angles

IRINA_888 [86]

68 is the answer of the question you ask the committee

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3 years ago

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)

natita [175]

1/3 . 1/3 i just took the test.

6 0

3 years ago

Read 2 more answers

Explain please, I’ve been having trouble with this question

GuDViN [60]

Step-by-step explanation:

I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.

<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.

the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.

I suck at explaining stuff, hope this helps

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2 years ago