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nydimaria [60]
3 years ago
9

. If a = 120°, find the measure of angles b, c and d. Explain your reasoning.

Mathematics
1 answer:
Alchen [17]3 years ago
8 0
∡b is a vertical angle to ∡a and therefore a twin, and we know that ∡a = 120°, thus since ∡b = ∡a, ∡b = 120° as well.

a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.

∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.
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In a rhombus whose side measures 36 and the smaller angle is 32°, find the length of the larger diagonal, to the nearest tenth.
Anvisha [2.4K]
Given side length "a" and angle "A", calculate the diagonals<span><span>
p = square root [( 2a^2 - 2a^2 cos(A) )]
</span>q = </span><span>square root [( 2a^2+ 2a^2 cos(A) )]</span>
http://www.calculatorsoup.com/calculators/geometry-plane/rhombus.php

side = 36
cos (32) = 0.84805
p = <span>small diagonal = </span> <span> <span> <span> 19.8457652914 </span> </span> </span> <span><span> </span> </span>
q = large diagonal = <span> <span> <span> 69.2108777578 </span> </span> </span>


3 0
4 years ago
Latasha bought a concert ticket. She does not remember the price of the ticket, but she remembers that she had to pay $1 in tax.
docker41 [41]

Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

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Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

7 0
3 years ago
One reading an Antarctic research station showed that the temperature was -35 degrees Celsius what is this temperature in degree
Musya8 [376]
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4 0
3 years ago
I need this Now (2x + 1)²
Alla [95]

Answer:

4x² + 4x + 1

Step-by-step explanation:

We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.

7 0
4 years ago
Read 2 more answers
Math question help me
JulsSmile [24]

Answer:

3 grams

Step-by-step explanation:

on the left side there is 3 circles and every circle is 3 grams, so there is 9 grams plus 6 squares for 2 grams its 12 . 9+12 =21 and two triangles with x mass

on the right side there is 2 circles , 2×3 = 6, and 3 squares, 3×2 = 6. 6+6=12 +5x

both sides are equal so we have

21+2x=12+5x

21-12=5x-2x

9=3x

x=3

6 0
3 years ago
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