All categories

2 years ago

HELPPPP HOMEWORKKK 15 Points

Mathematics

1 answer:

Arlecino [84]2 years ago

4 0

Answer:

x=12

Step-by-step explanation:

First, you know a triangle is equal to 180. Since you know the sum of the other two angles equal the outside angle, you can make them equal to each other, like 112=6x+3x+4. Combine like terms to 112=9x+4. Subtract 4 on both sides and divide by 9 on both sides to leave x by itself. This will leave you with x=12

You might be interested in

A child puts one five-rupee coin of her saving in the piggy bank on the first day. She increases her saving by one five-rupee co

Makovka662 [10]

1 day => 1 coin

190 days => 190 coins (full)

so it takes 190-1=189 more days to fill it

total money saved = 190x5=950 rupees

4 0

3 years ago

Scott wants to buy fencing to place around a semicircular rock garden The diameter of the semicircle is 16 feet Using 3.14 for p

Pavel [41]

The diameter of the semicircle is 16 feet.

He calculates that he needs to buy abut 25.12 feet of fencing.

To find amount of fencing we find the circumference of semicircle

Circumference of semicircle = $\frac{1}{2}\pi d+d$

Where d is the diameter of the circle

d= 16 given and value of pi is 3.14

Circumference of semicircle = $\frac{1}{2}*3.14*16+16$

=25.12 + 16 = 41.12 feet

Scott's calculation was wrong because he forgot to add the diameter d

Circumference of circle is half way of circle plus the diameter of circle.

Correct amount of fencing = 41.12 feet

7 0

3 years ago

Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

Find the first ten terms

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

3 years ago

I need to understand question 14 and 15 and the last one cut off for tens in one

sp2606 [1]

Question # 14

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am less than 20.

So the number 'x' must be less than 20 i.e. x < 20

I am more than 13.

So the number 'x' must be greater than 13 i.e. x > 13

I am less than 17.

So the number 'x' must be less than 17 i.e. x < 17

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

Question # 15

Part a)

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am more than 10.

x > 10

I am less than 20.

x < 20

I am more than 12.

x > 12

I am less than 15.

x < 15

As the numbers left after all the conditions are fulfilled are 13 and 14.

But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

Chart

Tens Ones

1 4

6 0

3 years ago

Which of the following statements are correct based on the diagram? Select all that apply.

cluponka [151]

Answer:

Segment U T is congruent to segment X V

Segment S T is congruent to segment W V

Angle V is congruent to angle T

7 0

2 years ago