3 years ago

Someone help me with this

Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

m∠ABC = 74

Step-by-step explanation:

The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °

So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74

The measurement of angle ABC is 74°

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3 years ago

Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the larges

LuckyWell [14K]

First, find the area of the rectangular paper: 104 × 88 = 9152 cm²

Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152

We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below

9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13

after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64

The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers