A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?
Answers
The three angles add up to 180º
A=80º
B
C
A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º (1)
The ratio between A and B is 7/13 ; therefore:
B/C=7/13 ⇒B=7C/13 (2)
With the equations (1) and (2), we make a system of equations:
B+C=100
B=7C/13
We can solve this system of equations by substitution method:
7C/13 + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65
B=7C/13
B=7*65/13
B=455/13
B=35º
Answer: The measures of those two angles are 65º and 35º.
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i hope helped if didn't I'm am sorry.
Answers
Answer:
The coordinates of Jedds house are (-7 , -2)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) divide the distance between the two points
and
at the ratio
, then
and
* Lets solve the problem
∵ Hollis house is located at (-1 , 4)
∴ = (-1 , 4)
∵ She can walk in a straight line to get to Jedds house
∵ The restaurant is located at (-3 , 2) and partitions the way from
Hollis house to Jedds house by a ration of 1 : 2
∴ (x , y) = (-3 , 2)
∴ = 1 : 2
- Lets consider that Jedds house is located at
∴
∴
- Multiply both sides by 3
∴
- Add 2 for both sides
∴
∴
∴
- Multiply both sides by 3
∴
- Subtract 8 for both sides
∴
∴ The coordinates of Jedds house are (-7 , -2)
Answer:
(-7 , -2)
Step-by-step explanation:
The above answer is correct
Answers
The elevator at the local mall has a weight limit of 1,800 pounds is
9w ≤ 1800.
What is Inequality?
Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The elevator at the local mall has a weight limit of 1,800 pounds.
Not more than 9 people allowed in the Elevator.
let the weight of one person be w.
Then, the inequality is
9w ≤ 1800
Learn more about Inequality here:
#SPJ3
Answers
Because an exponent tells how many times a coefficent is used.
2: numerical expression
Because it is an expression made up of numbers and symbols.
Answers
25 + 4 = 2x
29 = 2x
29/2 = x
14.5 = x <===
-4.2 - 0.72x
-0.72x + (-4.2)
-4.2 + 0.72x
-4(0.18x + 1.05)
0.6(-7) - 0.6(-1.2x)
0.6(-7) + 0.6(-1.2x)
Answers
The correct options are B, C, E, and G.
Expression
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
Given to us
0.6(-7 - 1.2x)
The value of the expression
Therefore any expression equal to this will be the equivalent expression
A.) -4.2 - 1.2x
As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.
B.) -4.2 - 0.72x
This expression will be equal to the desired expression. Thus, this is an equivalent expression.
C.) -0.72x + (-4.2)
On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.
D.) -4.2 + 0.72x
As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.
E.) -4(0.18x + 1.05)
On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.
F.) 0.6(-7) - 0.6(-1.2x)
As we can see this expression is not equal to -4.2-0.72x. therefore, this is not an equivalent expression.
G.) 0.6(-7) + 0.6(-1.2x)
On rearranging this expression we will get the desired expression. Thus, this is an equivalent expression.
Learn more about Equivalent Expression:
Answer:
-4.2 - 0.72x (second)
-0.72x + (-4.2) (third)
-4(0.18x + 1.05) (fifth)
0.6(-7) + 0.6(-1.2x) (seventh)
Step-by-step explanation:
okay so 0.6(-7 - 1.2x) = -4.2 - 0.72x or -0.72x - 4.2 or -4.2 + (-0.72x) or -0.72x + (-4.2) they are all the same meaning these are all the simplified answers
so the first one is incorrect because it is -4.2 - 1.2x (simplified)
the second one is correct because it is -4.2 - 0.72x (simplified)
the third one is correct because it is -0.72x - 4.2 (simplified)
the fourth one is incorrect because it is -4.2 + 0.72x (simplified)
the fifth one is correct because it is -0.72x - 4.2 (simplified)
the sixth one is incorrect because it is -4.2 + 0.72x (simplified)
the seventh one is correct because it is -4.2 - 0.72x (simplified)