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3 years ago

Triangle DEF is an isosceles, so DEF = DFE.

Mathematics

2 answers:

Katarina [22]3 years ago

8 0

Answer:

m∠CFD= $105\°$

Step-by-step explanation:

we know that

m∠CFD+m∠DFE= $180\°$ ------> by supplementary angles

we have

that

m∠DFE=m∠DEF= $75\°$

m∠CFD+ $75\°=180\°$

m∠CFD= $180\°-75\°=105\°$

Ratling [72]3 years ago

4 0

I believe its 105 degrees

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Complete the table below using the Midpoint and Distance Formulas.

Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

Thus:

$M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

Length of AB:

Distance between A(2, 4) and B(2, -6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

$AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}$

$AB = \sqrt{(0)^2 + (-10)^2}$

$AB = \sqrt{0 + 100} = \sqrt{100}$

$AB = 10$

5 0

3 years ago

A dress maker had 27 yards of fabric.If she wanted to use the fabric to make 5 dresses,each using the same amount of fabric how

Alina [70]

Each dress will need 5.4 yards of fabric and the answer lies between 5 and 6

Step-by-step explanation:

Given

Total fabric = 27 yards

Dresses to be made = 5

In order to find the measurement of fabric for one dress, the total fabric will be divided by number of dresses to be made.

So,

$Fabric\ for\ one\ dress = \frac{Total\ fabric}{No.\ of\ dresses}$

$Fabric\ for\ one\ dress = \frac{27}{5}\\=5.4\ yards$

The answer lies between the whole numbers 5 and 6

Hence,

Each dress will need 5.4 yards of fabric and the answer lies between 5 and 6

Keywords: Fractions, Division

Learn more about fractions at:

#LearnwithBrainly

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Answer and workin your attached below. Hope it helps

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2 years ago

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Art [367]

Answer:

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Step-by-step explanation:

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