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victus00 [196]
3 years ago
15

Can someone please help me and show work ?

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

<em> (1). x = 14 ; (2). 70°</em>

Step-by-step explanation:

<em>(1).</em> m∠ACD = m∠A + m∠B

6x + 2 = (2x + 1) + (3x + 15)

6x - 5x = 14

<em>x = 14</em>

<em>(2).</em> m∠ABC = 180° - m∠CBD = 140°

<em>m∠A</em> = m∠C = 140° ÷ 2 = <em>70°</em>

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A price increases 5% due to inflation and is then reduced 10% for a sale. Express the final price as a function of the original
kirza4 [7]

Answer:

0.945p

Step-by-step explanation:

Let the original price be p.

Increased price due to inflation = 5% of p    

                                                     = 0.05 p

Price after increased 5% = p + 0.05p = 1.05p

Reduced price for a sale = 10% of (1.05p)

                                         = 0.1 × 1.05p

                                         =  0.105p

Price after reduction 10% = 1.05p – 0.105p = 0.945p

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6 0
3 years ago
To help with her retirement savings, Donna has decided to invest. Assuming an interest rate of 3.59% compounded quarterly, how m
cricket20 [7]

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: A=P(1+\frac{r}{n})^{nt}

Putting values and finding P

A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640

So, We get the value of Principal amount i.e initial investment = $61640

7 0
3 years ago
19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of
Serhud [2]

Answer:

make me brainlist

Step-by-step explanation: firm sharing profits and losses in the ratio of 3

2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve

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Pas necessary journal entries for the above transactions on reconstitution of the form

Bolutions

8 0
3 years ago
Pls help it’s due soon. thank you
Vikentia [17]
Area of triangle is
A=b•h/2
A=(10x+5)(2x-5)/2
A=20x^2-50x+10x-25/2
A=20x^2-40x-25/2
A=2(10x^2-20x-12.5)/2
cancel 2 in numerator and denominator
A=10x^2-20x-12.5 in^2
Hope this helps
5 0
3 years ago
The perimeter of a square must be greater than 188 inches but less than 198 inches. find the range of possible side lengths that
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It should be latter A
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