Find the value of y showing your steps or explaining your thinking. (2 pts.)
1 answer:
Answer:
y = 54
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I
</u>
<u>Geometry
</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>
Step 1: Define</u>
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
<u>Step 2: Solve for x
</u>
- Divide 3 on both sides: x + 7 = 21
- Subtract 7 on both sides: x = 14
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: 3(14 + 7) + 63 + y = 180
- (Parenthesis) Add: 3(21) + 63 + y = 180
- Multiply: 63 + 63 + y = 180
- Combine like terms: y + 126 = 180
- Isolate <em>y</em>: y = 54
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Answer:
126
Step-by-step explanation:
We multiply 42 × 3= 126
The measure of the angle is 126.
Answer:
13
Step-by-step explanation:
We only need to pay attention to the x. We multiply 3 and 4 to get 12. Then we add 1 to get 13.
Answer:
x+5 is the factor..
Step-by-step explanation:
xsquare + (8+5)x + 40
or, xsquare +8x+5x+40
or, x(x+8)+5(x+8)
(x+5)(x+8)
since T is the midpoint of SU, then ST = TU.
![\bf \stackrel{10x-14}{\boxed{S}\rule[0.35em]{10em}{0.25pt}} T\stackrel{5x+16}{\rule[0.35em]{10em}{0.25pt}\boxed{U}} \\\\\\ \stackrel{ST}{10x-14}=\stackrel{TU}{5x+16}\implies 5x-14=16\implies 5x=30\implies x=\cfrac{30}{5}\implies x=6 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ST}{10(6)-14\implies 46}~\hfill \stackrel{TU}{TU=ST=46}~\hfill \stackrel{SU}{ST+TU=92}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B10x-14%7D%7B%5Cboxed%7BS%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%20T%5Cstackrel%7B5x%2B16%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7BU%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BST%7D%7B10x-14%7D%3D%5Cstackrel%7BTU%7D%7B5x%2B16%7D%5Cimplies%205x-14%3D16%5Cimplies%205x%3D30%5Cimplies%20x%3D%5Ccfrac%7B30%7D%7B5%7D%5Cimplies%20x%3D6%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BST%7D%7B10%286%29-14%5Cimplies%2046%7D~%5Chfill%20%5Cstackrel%7BTU%7D%7BTU%3DST%3D46%7D~%5Chfill%20%5Cstackrel%7BSU%7D%7BST%2BTU%3D92%7D)
