Answer:
-8 stars
Step-by-step explanation:
if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars
Answer:
C. (2x – 1)(2x + 1)
Step-by-step explanation:
4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)
<u>EXPLANATION</u><u>:</u>
In ∆ ABC , ∠ABC = 40°
∠ACD is an exterior angle formed by extending BC to D
We know that
The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
∠ACD = ∠CAB + ∠ABC
⇛50° = x° + 40°
⇛x° = 50°-40°
<h3>⇛x° = 10°</h3>
and
In ∆ ACD , AC = CD
⇛ ∠CDA = ∠CAD
Since the angles opposite to equal sides are equal.
Let ∠CDA = ∠CAD = A°
We know that
The sum of all angles in a triangle is 180°
In ∆ ACD,
∠CDA +∠CAD + ∠ACD = 180°
A°+A°+50° = 180°
⇛2A°+50° = 180°
⇛2A° = 180°-50°
⇛2A° = 130°
⇛A° = 130°/2
⇛A° = 65°
now,
∠CDA = ∠CAD = 65°
∠BAC + ∠CAD+y = 180°
Since angles in the same line
10°+65°+y = 180°
⇛75°+y =180°
⇛y = 180°-75°
<h3>⇛y = 105°</h3>
<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.
<h2>
Answers:</h2>
- Solving for x on the question - <em>2x + 3y = 32</em> |
- Answer : x =
⁻y + 16
- Solving for y on the question - <em>2x + 3y = 32</em> |
- Answer : y =
x +
<h3>
</h3>
- Solving for x on question - 5x - 4y = -81 |
- Answer : x =
y + 
- Solving for y on question - 5x - 4y = -81 |
- Answer : y =
x + 
<h2>
Step-by-step explanation:</h2>
<em>(Solving for x on question - 2x + 3y = 32)</em>
2x + 3y = 32
Step 1: Add -3y to both sides.
2x + 3y + −3y = 32 + −3y
2x = −3y + 32
Step 2: Divide both sides by 2.
= 
<u>x = </u>
<u>⁻y + 16</u><u> </u>
<em>(Solving for y on question - 2x + 3y = 32)</em>
2x + 3y = 32
Step 1: Add -2x to both sides.
2x + 3y + −2x = 32+ −2x
3y = −2x + 32
Step 2: Divide both sides by 3.
= 
<u>y = </u>
<u>x + </u>
<u> </u>
<em>(Solving for x on question - 5x - 4y = -81)</em>
5x − 4y = −81
Step 1: Add 4y to both sides.
5x − 4y + 4y = −81 + 4y
5x = 4y − 81
Step 2: Divide both sides by 5.
=
<u>x = </u>
<u>y + </u>
<u> </u>
<em>(Solving for y on question - 5x - 4y = -81 )</em>
5x − 4y = −81
Step 1: Add -5x to both sides.
5x − 4y + −5x = −81 + −5x
−4y = −5x − 81
Step 2: Divide both sides by -4.
=
y =
x + 
The Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0
According to the question,
1.0 1.5 2.5 2.0
a = 1.0
r = 1.5/1 = 1.5
r = 2.5/1.5 = 1.6667
r = 2/2.5 = 0.8
common ratio is different, so given sequence is not geometric sequence.
Hence, the Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0.
Learn more about common ratio here
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