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user100 [1]
3 years ago
12

Given: 1 is complementary to 2. 2 is complementary to 3. Prove: m1 = m3 What is the missing statement in step 3 of the proof? m1

= m2 m1 + m2 = 90° m2 = m3 m2 + m3 = 180°

Mathematics
2 answers:
Svetach [21]3 years ago
4 0

<span>First, it has to be noted that the term complementary refers to two angles with measures summing up to 90o.  A two-column proof is shown below.</span>

<span>                                    M1 = m2                                 conclusion</span>

<span>                                    M1 + m2 = 90<span>o                               </span>            Definition of complementary angles</span>

The missing term here is:

<span>                                    M2 + m3 = 90o              Definition of complementary angles</span>

<span>                                    M1 + m2 = m2 + m3              </span>

Subtracting m2 from both sides of the equation,

<span>                                    M1 = m3</span>

Scilla [17]3 years ago
3 0

Answer: it is (b)

Step-by-step explanation: therefore second option  

(b)mAngle1 + mAngle2 = 90°

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Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
mixer [17]
To solve this, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years 
P is the initial investment 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year

For the first 4 years we know that: P=2350, r= \frac{4.2}{100} =0.042, t=4, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, n=1. Lest replace those values in our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2350(1+ \frac{0.042}{1} )^{(1)(4)}
A=2350(1+0.042)^{4}
A=2770.38

Now, for the next 6 years the intial investment will be the final amount from our previous step, so P=2770.38. We also know that: r= \frac{4.9}{100} =0.049, t=6, and n=1. Lets replace those values in our formula one more time:
A=P(1+ \frac{r}{n} )^{nt}
A=2770.38(1+ \frac{0.049}{1})^{(1)(6)
A=2770.38(1+0.049)^6
A=3691.41

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
4 0
4 years ago
10.Which of the following values does not satisfy the inequality ?
kupik [55]

Answer:

The answer is -4

Step-by-step explanation:

-2x-6<=1

-2(-4)-6<=1

8-6<=1

2<=1 which is False

-2x-6<=1

-2(-3)-6<=1

6-6<=1

0<=1 which is True

-2x-6<=1

-2(-2)-6<=1

4-6<=1

-2<=1 which is True

-2x-6<=1

-2(-1)-6<=1

2-6<=1

-4<=1 which is True

7 0
3 years ago
If 1m is 100cm, then 250cm equivalent of 2.5m<br> if 1kg is 1.00g then 3kg is 2.500g
Viefleur [7K]

Answer:

I Kg = 1000 g

3 Kg = 3000 Kg

Step-by-step explanation:

Kg - Hg - Dag - g

1 Kg - 10 Hg - 100 Dag - 1000 g

So, 1 Kg = 1000 g

3 Kg = 3(1000)g = 3000 g

3 0
3 years ago
I got it wrong anyone know the answer thank u!
Romashka-Z-Leto [24]

Answer:

Choice 4 (s - 3 = 12)

Step-by-step explanation:

I think you made a reading error on this question, as it said "for which equation is s = 9 <em>not</em> the solution?" No need to fret though, this can easily be solved by substituting 9 into the variable <em>s</em> of each equation.

1. We know it's not choice 1 (s + 6 = 15), because doing 9 + 6 does equal 15.

2. We know it's not choice 2 (7 + s = 19), because doing 7 + 9 does equal 16.

3. We know it's not choice 3 (13 - s = 4), because doing 13 - 9 does equal 4.

4. Choice 4 (s - 3 = 12) is the correct answer because doing 9 - 3 equals 6, not 12. Thus this equation is incorrect, meaning this is the correct choice.

Choice 4/D is the correct choice.

5 0
3 years ago
Read 2 more answers
3<br> t: for t=<br> 4<br> 4<br> Your answer
Nataly_w [17]

Answer:<em> If that's 44 then your answer is going to be 132 but if it is just 4 is going to be 12 if it is 4.4 then it's going to be 13.2 </em>

Step-by-step explanation:

44x3=132

4x3=12

4.4x3=13.2

5 0
3 years ago
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