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Sidana [21]
2 years ago
7

2. Use the figure below and angle relationships to

Mathematics
1 answer:
Ksju [112]2 years ago
8 0

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

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Elan Coil [88]

Answer:

Measure of <z would 125 degrees

Step-by-step explanation:

3 0
2 years ago
John put away 36 of 48 shirts in his closet. Don has 84 shirts. If he put away the same percent, how many shirts did Don put in
Alexeev081 [22]

Answer:

63

Step-by-step explanation:

John's percentage:

36 and 48 have a common factor of 12 so divide both of them by 12.

36/12= 3 and 48/12=4 therefore

so 36/48= 3/4 which is 75% but we don't need to focus on the percent.

Don's no. of shirts:

we know Don has 84 shirts so we say

3/4 of 84= no. of shirts that Don put in his closet

84/4=21 21x3=63

Don put 63 shirts in his closet.

Hope that helped! Anymore questions just ask! :)

3 0
2 years ago
What is the multiplicative rate of change of the function?
AleksandrR [38]

- Answer:-The multiplicative rate of change for the exponential function =3. Explanation:- The exponential function is given by y=Ab^x. , where A

Step-by-step explanation:

7 0
2 years ago
What is the nth term?
kumpel [21]

Let a_k denote the <em>k</em>th term of the sequence. Then

a_k=a_1+d(k-1)

where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.

The sum of the first <em>n</em> terms is

S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n

From the formula for a_k, we get

S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)

S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k

S_n=na_1+\dfrac{d(n-1)n}2

S_n=\dfrac n2(2a_1-d+dn)

So we have d=-5, and 2a_1-d=16 so that a_1=\frac{11}2.

Then the <em>n</em>th term in the sequence is

a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}

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3 years ago
You rode a bicyde for 2 hours and travelled 43 km, calculate your average<br>speed.​
cupoosta [38]

Answer:

22.5km per hour

Step-by-step explanation:

5 0
3 years ago
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