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Serggg [28]
3 years ago
5

Rewrite without parentheses. -3a^2c^4(5c^3+4a-8) Simplify your answer as much as possible.

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

=−15a2c7−12a3c4+24a2c4

Step-by-step explanation:

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One angle of the following triangle measures 2x. How many degrees does that angle
ella [17]

<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

<u>Explanation</u><u>:</u><u>-</u>

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

3 0
3 years ago
Find the unknown side lengths in these right triangles.
ivolga24 [154]

Answer:

Triangle 1 -    \sqrt{29 (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

4 0
3 years ago
Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
Read 2 more answers
Find the volume of a rectangular prism with length 8 m, width 7 m, and height 5 m.
Tju [1.3M]
V= L*W*H
V=8*7*5
V=280m3
4 0
3 years ago
In a class of 30, students play either football or basketball (or both). If 21 students play football and 24 students play only
Murljashka [212]

Answer:

6 play both

Step-by-step explanation:

30-24=6

4 0
3 years ago
Read 2 more answers
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