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kogti [31]
3 years ago
7

Given. <1 and <2 are supplements , <3 and <4 are supplements, and <1 = <4

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0
Here’s the answers , it stops at 7 in the picture but here’s 8-9

8. Statement - m<1+m2=m<3+m<1
Reason - substitution property

9. Statement - m<2 = m<3
Reason - subtraction property

10. Statement - <2=<3
Reason - definition of = angles !!

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Please help me solve this.
Doss [256]

Answer:

63

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Anit [1.1K]

For proportionality constant problems, set up the equation as,

x=Ky,

Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn  </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.

15=K(10)\\K=\frac{15}{10}= \frac{3}{2},

30=K(20)\\K=\frac{30}{20}= \frac{3}{2}, and

45=K(30)\\K=\frac{45}{30}= \frac{3}{2}.

Hence, the proportionality constant, in this case <em>K,</em> is equal to \frac{3}{2} or 1.5. First answer choice is correct.


ANSWER: 1.5


4 0
3 years ago
Read 2 more answers
A box holding pennies, nickels and dimes contains thirteen coins with a total value of 83 cents. How many coins of each type are
Art [367]

Answer:

The number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

Further explanation:

Given:

A box holding pennies, nickels and dimes contains thirteen coins in a box.

Total value is 83 cents.

Calculation:

Consider p,n and d be the number of pennies, nickel and dimes.

Now, total is 13 coins so p+n+d=13

As we know that these following are US coin.

Penny=1 cent

Nickel=5 cents

Dime=10 cents

Step 1:

The value is already given as 83 cents that is 80+3 cents.

80 cents can be possible in many combinations as follows:

(N,D)=(0,8),(2,7),(4,6),(6,5),(8,4),(10,3),(12,2),(14,1),(16,0)

It is given that the total number of cents is 13 so we choose (4,6) as (n,d) .

So the value of nickel n=4

Dimes d=6

Step 2:

The value of p is calculated as follows:

Substitute 4 for n, 6 for d in equation p+n+d=13 as follows:

p+4+6=13

p+10=13

p=13-10

p=3

Thus, the number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

3 0
3 years ago
Easy question
Ira Lisetskai [31]

Answer:

7/16

Step-by-step explanation:

Let the fraction be x/y

(x+5)/(y+5) = 4/7

7x + 35 = 4y + 20

7x + 15 = 4y

(x-1)/(y-1) = 2/5

5x - 5 = 2y - 2

2y = 5x - 3

7x + 15 = 2(5x - 3)

7x + 15 = 10x - 6

3x = 21

x = 7

2y = 5(7) - 3

2y = 32

y = 16

x/y = 7/16

5 0
3 years ago
The approximate molar concentration of several chemicals are given. Find the pH of each use the calculator and round to the near
mojhsa [17]

Answer:

pH = 13 --- Oven Cleaner

pH = 6.2 --- Water

pH =7.4 --- Blood

pH = 2.2 --- Vinegar

Step-by-step explanation:

The given molar concentration are:[Missing from the question]

Oven Cleaner: [h+] = 10^{-13}

Water: [h+] = 0.0000007

Blood: [h+] = 0.00000004

Vinegar: [h+] = 0.0063

Required

Determine the pH

pH is calculated using:

pH = -\log(h+)

So, we have:

Oven Cleaner:

pH = -\log(10^{-13})

Using a calculator, we have:

pH = 13

Water:

pH = -\log(0.0000007)

Using a calculator, we have:

pH = -1*-6.2

pH = 6.2

Blood:

pH = -\log(0.00000004)

Using a calculator, we have:

pH = -1 * -7.4

pH =7.4

Vinegar:

pH = -\log(0.0063 )

Using a calculator, we have:

pH = -1 * -2.2

pH = 2.2

4 0
3 years ago
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