Answer:D 16inches by 8 inches
Step-by-step explanation:
The value of x is 44°.
Step-by-step explanation:
Step 1:
The sum of the angles in a triangle is equal to 180°.
The sum of the angles along a straight line is 180°.
The two given angles of the triangle are 14° and 30°.
Assume the third angle is a.
The sum of 14°, 30° and a is 180°.
So the third angle of the triangle is 136°.
Step 2:
The sum of the angles along a straight line is 180°.
The sum of the angle of the triangle, 136° and x is 180°.
So x measures 44°.
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
Answer:
383 children and 361 adults
Step-by-step explanation:
Let's say there are a adults and c children. Since the total number of people was 744, we can write:
a + c = 744
We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:
1.75c + 2a = 1392.25
Now we have a system of linear equations:
a + c = 744
1.75c + 2a = 1392.25
Multiply the first equation by 2:
2 * (a + c = 744) ⇒ 2a + 2c = 1488
Now subtract the second equation from this one:
2a + 2c = 1488
- 2a + 1.75c = 1392.25
___________________
0a + 0.25c = 95.75
c = 383
Plug this in to find a:
a + c = 744
a + 383 = 744
a = 361
There were 383 children and 361 adults.
Answer:
D
Step-by-step explanation:
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