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3 years ago

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Mathematics

1 answer:

love history [14]3 years ago

8 0

Answer: a) -27, b) 35, c) 14

Step-by-step explanation:

a) When a positive number is multiplied by a negative number, your answer is negative, and since we know that 9 × 3 = 27, and that this figure has to be negative (since 9 is negative), the answer is -27.

b) Multiplying two negative numbers gives a positive number, and since 7 × 5 = 35, the answer is positive 35 (as both 7 and 5 in the original question are negative).

c) Follows just like b.

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A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8 meters long. How many pieces will be made fro

S_A_V [24]

The number of pieces made from rod is 49

<h3><u>Solution:</u></h3>

Given that A metal rod will be cut into pieces that are each 1/56 meters long

The rod is 7/8 meters long.

<em><u>To find: number of peices made from rod</u></em>

The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece

$\text {number of pieces made }=\frac{\text {total length of rod }}{\text { length of each piece}}$

Here total length of rod = $\frac{7}{8}$ meters

length of each piece to be made = $\frac{1}{56}$ meters

Substituting the values in above formula, we get

$\text {number of pieces made }=\frac{\frac{7}{8}}{\frac{1}{56}}=\frac{7}{8} \times \frac{56}{1}$

$\text {number of pieces made }=7 \times 7=49$

So the number of pieces made from rod is 49

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3 years ago

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa

irinina [24]

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

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3 years ago

How do you collect and distribute. -c+5c-3a(a+3a)

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First, add in the parentheses. a+3a=4a. Then, make subtraction into adding negatives. (-c)+5c +(-3a)+4a. It becomes 4c+a.

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3 years ago

Help with these questions ​

Help with these questions