All categories

2 years ago

Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.

Mathematics

1 answer:

artcher [175]2 years ago

8 0

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

You might be interested in

Which symbol creates a true sentence when x equals 3? 52 + (x – 2)2 __ 25

e-lub [12.9K]

Answer:

Step-by-step explanation:

6 0

2 years ago

What is the product of 9 and -7?

kolezko [41]

Answer:

The product of 9 and -7 is -63

Step-by-step explanation:

Hope This Helped!

3 0

3 years ago

Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth

Bogdan [553]

Answer:

$103968.11

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

where

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

Now,

Hence, the interest is $103968.11.

6 0

2 years ago

1/7 rounded to the nearest thousand

Semmy [17]

1/7 = 0.14285714
rounded to the nearest thousandth, it would be 0.143

7 0

2 years ago

Evaluate y = 2x + 1 when x = 1

Solnce55 [7]

Answer:

y = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

y = 2x + 1

x = 1

Step 2: Evaluate

Substitute in x: y = 2(1) + 1
Multiply: y = 2 + 1
Add: y = 3

5 0

2 years ago