1. What is asked in the problem?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment

Solving (1): What is asked

The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today

Solving (2): The given facts

$Yesterday = \frac{9}{10}kg$

$Today = \frac{3}{5}kg$

Solving (3): Operation to be used

We use subtraction operation

Solving (4): The mathematical sentence

$D = Yesterday - Today$

$D = \frac{9}{10}kg - \frac{3}{5}kg$

D represents the difference

Solving (5): The solution

$D = \frac{9}{10}kg - \frac{3}{5}kg$

Take LCM

$D = \frac{9 - 6}{10}kg$

$D = \frac{3}{10}kg$

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Write a paragraph proof for the following conjecture.

qaws [65]

Answer:

See explanation

Step-by-step explanation:

Given: m∠SQR=55°.

m∠PQS=35°.

Prove: △PQR is a right triangle.

Paragraph proof

$\begin{array}{ccc}&\text{Statement}&\text{Reason}\\ \\1.&m\angle SQR = 55^{\circ}&\text{Given}\\2.&m\angle PQS = 35^{\circ}&\text{Given}\\3. &m\angle SQR+m\angle PQS=m\angle PQR&\text{Angle Addition Postulate}\\4.&m\angle PQR=55^{\circ}+35^{\circ}&\text{Substitution Property of Equality}\\5. & m\angle PQR=90^{\circ}&\text{Simplify}\\6. &\angle PQR\text{ is a }&\text{right angle }\\&\text{right angle}&\text{d}\\ 7.&\triangle PQR&\triangle\text{d} \end{array}$