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Len [333]
3 years ago
7

Find m∠CAD. A. mCAD = 79 B. mCAD = 158 C. mCAD = 90 D. mCAD = 89

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0
The answer is C, hope this helps ;)
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Ihorangi travels 51 km to work and 51 km from work each day.
viktelen [127]

Answer:

Ihorangi uses 7.65 litres of petrol to and from work

Step-by-step explanation:

If the car Ihorangi drives consumes 7.5 L/100 km

Then for 1 km journey, the car will consume 7.5/100 L

= 0.075 L

If Ihorangi travels 51 km to work and 51 km from work

Therefore Ihorangi travel (51 + 51) km daily to and from work

= 102 km daily

The fuel he consumes daily is 102*0.075 L

= 7.65 L

7 0
3 years ago
Use back-substitution to solve the system of linear equations.
ludmilkaskok [199]

Step-by-step explanation:

x - y + 5z = 29

y + 2z = 4

z = 7

since z = 7 we can use this value in second equation

y + 2×7 = 4 and y = -10

now we know the value of y we can solve the first equation

x -(-10) + 5×7 = 29

x + 10 + 35 = 29

x = -11

5 0
3 years ago
Read 2 more answers
Divide. HELP ASAP PLEASE!!
VashaNatasha [74]

Answer:

The answer to your question is below

Step-by-step explanation:

a)                             \frac{s^{2}- 3s - 28 }{s - 7}

Factor the numerator is a polynomial of the form    x² + bx + c

                                              s² - 3s - 28 = (s - 7)( s + 4)

Substitute

                               \frac{(s - 7)(s + 4)}{(s - 7)}

Simplify like terms

Result                                               s + 4

b)                          \frac{c^{2} + 5c - 24}{c + 8}

Factor the numerator is a polynomial of the form x² + bx + c

                                           c² + 5c - 24 = (c + 8)(c - 3)

Substitute

                                          \frac{(c + 8)(c - 3)}{c + 8}

Simplify like terms                            c - 3

Result                                                c - 3

                                         

3 0
3 years ago
The probability of A is 1/6 and the probability of B is 1/2. what is the probability of A or B or both happening?​
Damm [24]

Answer:

p(a \: or \: b) = p(a) + p(b) - p(a \: and \: b) \\ p(a \: and \: b) = p(a)p(b)

Write the above equation in capital in your case, all you need to do is plug in your fractions...

5 0
2 years ago
A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. Th
kkurt [141]

The width of the pool is 10 feet.

<h3>What is area of rectangle?</h3>

The area of rectangle is product of length and breadth.

Let the width be x.

length = 24 + 2x. and breadth =  12 + 2x

We know, area= 1408 ft².

(12 + 2x)(24 + 2x) = 1408

12*24 + 12*2x + 24*2x + (2x)² = 1408

288 + 72x + 4x² = 1408

4x² + 72x + 288 - 1408 = 0

4x² + 72x - 1120 = 0

x² + 18x - 280 = 0

x² - 10x + 28x - 280 = 0

x(x - 10) + 28(x - 10) = 0

(x - 10)(x + 28) = 0

So, x=10, -28.

Hence, the width be 10 feet.

Learn more about this concept here:

brainly.com/question/26638297

#SPJ1

6 0
2 years ago
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