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Inessa [10]
2 years ago
12

Help me please. Find the measures of CAD and DAE

Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0

well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus

\left( \cfrac{3}{2}x+20 \right)+2x=90\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3}{2}x+20 + 2x \right)=2(90)} \\\\\\ 3x+40+4x=180\implies 7x+40=180\implies 7x=140\implies x=\cfrac{140}{7} \\\\\\ x = 20~\hfill \stackrel{\measuredangle CAD}{\cfrac{3}{2}20+20\implies 50}\qquad\qquad \stackrel{\measuredangle DAE}{2(20)\implies 40}

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77julia77 [94]

Answer:

An equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12

Step-by-step explanation:

Given that Genesis needs to pay $12.00 for entrance into the book club.

Per month fee = $20.00

We know that the slope-intercept form of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

As the rate of change is also called the slope.

The rate of $20.00 per month would be termed as the slope = m = 20

One time fee = $12.00, meaning the y-intercept = b = 12

Thus, the equation becomes

y = mx+b

  • y represents the total cost
  • x represents the duration
  • m represents the rate of change = m = 20
  • b represents the y-intercept = b = 12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12
5 0
3 years ago
2.
Gekata [30.6K]

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

That's the rule.

For the second part, substitute n = 6

cm.

7 0
3 years ago
Based on the graph, what does (1,3) represent ?
san4es73 [151]

Answer:

The correct answer should be B.

I hope this helps!

-Mikayla

4 0
3 years ago
Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy
stira [4]

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

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Convert 17/97 to decimal using Long Division Method (round to 3 dp)
Mariana [72]

17/97 to decimal

17/ 97 = 0.175

Answer : 0.175

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6 0
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