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larisa86 [58]
3 years ago
8

An angle measures 10° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:

50º & 40º

Step-by-step explanation:

complementary anlges add up to 90º. so, we can make an equation:

x+x-10=90

2x=100

x=50

so the angles are 50º and 40º.

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The ratio of 3 km to 1800 m is​
Ugo [173]
5 : 3


D1 = 3km = 3000 m (1km = 1000m)
D2 = 1800m


Ratio of D1:D2
=3000/1800
=1000/600 (dividing by 3)
=10/6 (dividing by 100)
=5/3 (dividing by 2)

= 5 : 3
6 0
3 years ago
27
oee [108]

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

8 0
3 years ago
Does the table shows a proportional relationship
yarga [219]
Yes it does because it is even in each side
8 0
2 years ago
Point M is in the exterior of an angle AOB, ray OC is a bisector of this angle. Prove, that the measure of angle MOC is equal to
myrzilka [38]

Answer:

see the prove below

Step-by-step explanation:

<u>We have to prove that </u><u>MOC=(AOM+BOM)/2</u>

Let Angle AOM=x and AOC=y .  => AOB=2y ( because OC is the bisector of AOB)

So MOC= AOM+AOC=x+y

BOM=AOB+AOM=2y +x

AOM+BOM= x+2y+x=2y+2x

(AOM+BOM)/2= (2y+2x)/2=x+y=MOC

The statement is proved

3 0
3 years ago
Beth's mother can sew 235 pairs of short pants in 6 days while lourdes can sew 187 pairs in 8 days . How many more pants of shor
d1i1m1o1n [39]

Answer:

Beth's mother can sew pairs of short pants in total of 235 for 6 days. While Lourdes can do 187 pairs in 8 days. So, Beth's mother has lack of two days compared to Lourdes. ... So, Beth's mother can sew another 78 pairs of short pants for two days.

6 0
3 years ago
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