Answer:
The total cost of 1 belt and 1 tie is $13 and $39 respectively.
Step-by-step explanation:
Given that,
The cost of 4 belts and 5 ties is $247.
Each tie costs 3 times as much as a belt.
Let the cost of a belt is x and that of a tie is y.
ATQ,
4x + 5y = 247 ...(1)
y = 3x ....(2)
Put the value of y from equation (2) in equation (1)
4x + 5(3x) = 247
4x + 15x = 247
19x = 247
x = 13
Put the value in equation (2)
y = 3x
= 3(13)
= 39
So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.
Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
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#SPJ1
<span>-4n^0 × 3n^-2
= -4(1) </span>× 3n^-2
= -4× 3n^-2
= -12 n^-2
= -12/n^2
Answer:

Step-by-step explanation:
Given expression:







Write in scientific notation:

The quotient of the decimal factors is 0.5 and therefore less than 1.
The first factor in scientific notation must be less than 10 and greater than or equal to 1. Therefore, 0.5 should be multiplied by 10 to become 5.0, which means the exponent of the quotient will be decreased by 1.
Learn more about exponents here:
brainly.com/question/27953406
brainly.com/question/28211147
Answer:
909
Step-by-step explanation:
sqrt(30² + 3²) = x
hence the number in the box should be 909