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Anika [276]
3 years ago
11

Lines b and c are parallel. What is the measure of <6?

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0
45 is my first choice answer
kolezko [41]3 years ago
3 0

Answer:

m<6 = 54

St,ep-by-step explanation:

Lines b and c are parallel.

13x +9 and 5x+9 are consecutive exterior angles.

Consecutive exterior angles are supplementary.

13x+9+5x+9= 180

Now we solve for x. combine like terms

18x+18= 180

Subtract 18 from both sides

18x=162

Divide both sides by 18

x=9

So the value of x=9

angle 6 and 5x+9 are vertical opposite angles . they are equal

m<6= 5x+9

Plug in 9 for x

m<6= 5(9)+9=54

m<6 = 54

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Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
3 years ago
Plis help with this. - - -
madreJ [45]

Answer: 16

Step-by-step explanation:

multiplying by negative exponents can be a little tricky. So (1/4x)^-2 becomes 16/x^2 = __/x^2 so the missing number is 16

4 0
3 years ago
How many ways can a president, vis-president and treasurer be selected from a group of 15 students?
dybincka [34]

Answer:

455ways

Step-by-step explanation:

This is expressed as 15 C 3 ( C- combination)

The concept of combination is used when we talk about selection.

Now we are selecting 3 from a sample of 15

15 C 3 = 15! / (15-3)! 3! = 15 ×14×13×12!/12!×3×2

= 5 × 7 × 13 = 455ways

8 0
3 years ago
What is 8 Divided by 231 to the nearest thousandth
Mkey [24]

Answer:

0.346

Step-by-step explanation:

brainiest pls ty

3 0
2 years ago
Read 2 more answers
Hiya! Here's my question:
Step2247 [10]

wait i got it!

Since 18 kilograms are 18000 grams, you have

18000/30=600

and

800/30=26.6

So, with 18 kilograms of salt the baker can make exactly 600 batches with no leftovers, while with 800 grams of salt the baker can make 26 batches, with some leftovers.

In fact, 26 batches require

26 x 30 =780

grams of salt, and the remaining

800-780=20

grams of salt are not enought to prepare the next batch

Step-by-step explanation:

5 0
3 years ago
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