In a triangle the measurement of an exterior angle is always greater than the measurement of the adjacent interior angle.what is a counter example to this

Answers

Answer 1

Answer: the measure of and adjacent angle is less than the measure of the exterior angle

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Two numbers have a sum of 71 and a difference of 37 (PLEASE HELP ME,MY TEACHER HATES ME)

Its says use rounding or compatible numbers to estimate the sum and example 198 + 727 ans is 200+725=925 I still don't understand how to do it. Heres a problem 87+34 and here is one 222+203

Answers

Answer:

a) 121

b) 425

Step-by-step explanation:

We are given the following information in the question:

198 + 727 + 200 + 725 = 925

This can be explained with the help of associative of addition and subtraction and commutative property of the addition.

Associative property:

$a+(b+c) = (a +b )+c$

Commutative property:

$a+b = b+a$

$198 + 727 \n= 198 + ( 727 + 2)\n=198 + ( 2 + 727)\n=(198 + 2) + 725\n= 200+ 725 \n= 925$

$87 + 34\n= 87 + ( 31 + 3)\n=87 + ( 3 + 31)\n=(87 + 3) + 31\n=90 + 31\n=121$

$222 + 203\n=(220 + 2) + 203\n=220 + ( 2 + 203)\n=220 + 205\n=425$

Okay, rounding is when you take a number such as 198 and imagine that it is something easier to do math with, like 200.
200 is easier to add with because there are zeroes in the tens place and the ones place.
725 is easier to add with than 727 because the ones place digit, (5), is an easier base to use, just like zero.
Using the easier numbers, 200 + 725 = 925
Using the original numbers, 198 + 727 + 925
*Because you took two pieces from the 727 and added them to 198, the four numbers in this problem are compatible.
Compatible numbers are when you use numbers that are close to the original ones and make it easier to do the problem in your head.
____
In the case of 87+ 34, the simplest numbers to use would be 90 instead of 87 and 35 instead of 34. Not as easy as the first equation, but still doable.
90+35+125
or
87+34=121
____
In the case of 222+203, the simplest substitutions are 220 and 200.
220+200=420
or
222+203=425
Hope this helps,
Ahawk

6 [ 4 × ( 72 - 63 ) ÷ 3 ]

Answers

Do parenthesis first.
72 - 63 = 9, simplifies to:
6 [ 4 * (9) ÷ 3]
multiply 9 and 4, which is 36, divide that by 3, which equals, 12
6 [12]
12*6 = 72

6((4*(72-63)/3))
6((4*9/3))
6((36/3))
6((12))
72

Please help due in a hour 20 points

Answers

Answer:

Y= -2x + 19

Step-by-step explanation:

Answer:

y = - 2x - 19

Step-by-step explanation:

y = -2x + c

→ Substitute in the x and y coordinates

-7 = 12 + c

c = -19

2x²+10x=0 by using any method

Answers

2x²+10x=0

2x(x+5)=0

2x=0 or x+5=0

x=0 or x= -5

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.x. -15
15
-16
16
y.
-16
16
-21
21
In the relationship between x and y,
.x is always less than y
.some x values are greater than y
.x is always less than or equal to y
.y is always less than x

Answers

-150x ≥ -2400
⁻¹⁵⁰ˣ/₋₁₅₀ ≥ ⁻²⁴⁰⁰/₋₁₅₀
x ≤ 16

-336 ≥ -21y
⁻³³⁶/₋₂₁ ≥ ⁻²¹/₋₂₁y
16 ≤ y
y ≥ 16

In the relation between x and y, x is always less than or equal to y. The answer is equal to C.

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 64 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 97.5% confidence interval for the mean gas mileage for this car model.