You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Answer:
n=5, m = 4
Step-by-step explanation:
It is a parallelogram so m+8 = 3m and 2n-1 = 9
Answer:
$2315.25
Step-by-step explanation:
Given data
Principal= £2000
Time= 3 years
Rate= 5%
The compound interest expression is
A= P(1+r)^t
substitute
A= 2000(1+0.05)^3
A= 2000(1.05)^3
A= 2000*1.157625
A= 2315.25
Hence the Amount is $2315.25
Answer:
- domain: (-4, ∞)
- range: [-4, ∞)
Step-by-step explanation:
The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).
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The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).
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Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.
I think you multiply it by 4 on both sides
