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frozen [14]
3 years ago
8

PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

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Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni
dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})

It is provided that, Renee recognizes that 7 and \frac{1}{7} are reciprocals, so she would like to find their product before she multiplies by \frac{13}{29}.

The associative property of multiplication states that:

a\times b\times c=(a\times b)\times c=a\times (b\times c)

The commutative property of multiplication states that:

a\times b\times c=a\times c\times b=c\times a\times b

The distributive property of multiplication states that:

a\cdot (b+c)=a\cdot b+a\cdot c

The identity property of multiplication states that:

a\times 1=a\\b\times 1=b

So, Renee should use the commutative property of multiplication to find the product of 7 and \frac{1}{7},

(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}

Thus, the correct option is commutative property.

5 0
3 years ago
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Plz Help Me With This!
exis [7]
The first one is 621 and the second one is C

4 0
3 years ago
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a triangular flower bed needs a thin metal border all the way around it. The sides are 7 feet, 6 feet, and 9 feet long.
kotegsom [21]
Excuse my awful triangle drawing skills, haha..
So essentially you need to find the perimeter which is done by adding the lengths of the sides.. this gives you 22ft.
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7 0
3 years ago
A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

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For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

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8 0
3 years ago
Kylie starts with $145 in her piggy bank. Each month she adds $20.
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2. an=20+an−1 and a1=145

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3 years ago
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