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serg [7]
3 years ago
6

Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from

the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

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Please help me with this question step by step. A rectangle has a width of 2x exponent 2 +4x+1) and a length of (8-x). What is t
timurjin [86]

Answer:

A = (2x² + 4x + 1) (8 − x)

A = -2x³ + 12x² + 31x + 8

Step-by-step explanation:

W = 2x² + 4x + 1

L = 8 − x

Area is width times length.

A = (2x² + 4x + 1) (8 − x)

If you wish, you can simplify with distribution.

A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)

A = 16x² + 32x + 8 − 2x³ − 4x² − x

A = -2x³ + 12x² + 31x + 8

6 0
3 years ago
PLZ SOMEONE HELP ME AND EXPLAIN <br> THX
ELEN [110]
The graph of g is one-fifth as steep as the graph of f.

The function g basically takes the inputs for f and multiplies them by one-fifth, which means the outputs are one-fifth times those of f. Multiplying by one-fifth makes something smaller (it's the same as dividing by five). It helps to visualize this relationship, so I've attache the graphs below.

7 0
3 years ago
What is the quotient of m^6/5 divided by 5/m^2
DENIUS [597]

Answer:

\large\boxed{\dfrac{m^8}{25}}

Step-by-step explanation:

\dfrac{m^6}{5}\div\dfrac{5}{m^2}\\\\\text{Divide by a fraction is the same as multiply by its reciprocal}\\\\=\dfrac{m^6}{5}\times\dfrac{m^2}{5}=\dfrac{m^6\times m^2}{5\times5}\\\\\text{use}\ a^n\times a^m=a^{n+m}\\\\=\dfrac{m^{6+2}}{25}=\dfrac{m^8}{25}

3 0
3 years ago
0.4166666667 as a fraction
mariarad [96]
416/100 is the answer
5 0
3 years ago
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics
Sonbull [250]

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by  the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: p=\dfrac{300}{375}=0.8

Critical z-value for 90% confidence: z* = 1.645

Margin of error =z^*\sqrt{\dfrac{(1-p)p}{n}}

The margin of error in a 90% confidence interval estimate of p =1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038

Hence, the required margin of error = 0.038

7 0
3 years ago
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