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miskamm [114]
3 years ago
8

the measure of an angle is five degrees greater than six times its supplement. what is the measure of the larger angle?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0
Let the measure of the smaller angle be x, then the larger angle is 5 + 6x and
x + 5 + 6x = 180
7x + 5 = 180
7x = 180 - 5 = 175
x = 175/7 = 25

The larger angle is 5 + 6(25) = 5 + 150 = 155 degrees.
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288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel
Arisa [49]
288 divided by 12 = 24
240 divided by 10 = 24
6 0
3 years ago
F(1) = 5
MatroZZZ [7]

Answer:

a(7)=3645

Step-by-step explanation:

you have :

f(1) =a= 5

and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)

So r=3

then

a(n)=a*r^(n-1)

a(7)=5*3^(7-1)

a(7)=5*3^6=3645

<em>hope this helps</em>

<em />

7 0
2 years ago
A dinner for two at the local seafood restaurant cost
Vlad [161]

Answer:

63.38

Step-by-step explanation:

(49.90)(20%)(6%)

20%= $9.98

49.90+9.98 =59.80

(59.80)(6%)

6%= $3.58

59.80+3.58=63.38

8 0
2 years ago
I leave my family's vacation cabin at 8 a.m. and start driving home at a nice, safe 45 mph. Two hours later, my husband, who alw
Murljashka [212]

Answer:

2:30 pm

Step-by-step explanation:

In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.

From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.

<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>

<em>90/20 = 4.5 hours</em>

<em />

<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>

6 0
3 years ago
Please help it will help a lot i really need this!!
Lorico [155]

Answer:

A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

<em>Is the transformation a rigid motion?</em>

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

6 0
3 years ago
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