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Oksana_A [137]
3 years ago
15

PLEASE HELP ME! TIMED!

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

1.6-5 2.  42 3. 36/66

Step-by-step explanation:

You might be interested in
42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
One high speed Internet provider has a $39 setup fee and charges $40 per month. Another
zvonat [6]

Answer:

2.1 months

Step-by-step explanation:

Let x represent the number of months

Set up expressions to represent the cost of each Internet provider

40x + 39 will represent the first one

30x + 60 will represent the other

Set these equal to each other and solve for x:

40x + 39 = 30x + 60

10x + 39 = 60

10x = 21

x = 2.1

So, the cost will be the same in 2.1 months

8 0
3 years ago
What is the value of n in this equation 1/2(n-4)-3=3-(2n+3)?
alexdok [17]

Answer:

n = 2

Step-by-step explanation:

Given

\frac{1}{2}(n - 4) - 3 = 3 - (2n + 3)

Multiply through by 2 to clear the fraction

n - 4 - 6 = 6 - 2(2n + 3) ← distribute

n - 10 = 6 - 4n - 6 ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2

6 0
3 years ago
How many rulers of 12-inches are needed to measure a door awnser
Fudgin [204]
<span>the dimensions of a door are variable, for effects of this problem we will assume a door height of 210 cm and a door width of 80 cm

Step 1
</span><span>convert the dimensions of the door in cm to inches
</span>we know that
1 in-------------> 2.54 cm
X----------------> 210 cm
X=210/2.54=82.67 in (height)

1 in-------------> 2.54 cm
X----------------> 80 cm
X=80/2.54=31.50 in (width)

the dimensions of a door are 31.50 in x 82.67 in

Step 2
calculate the amount of rules of 12-inches necessary to measure the height of the door
82.67 in (height)
if one rule-------------> measure 12 in
X----------------------> 82.67 in
X=82.67/12=6.8-----------> 7 rules

Step 3
calculate the amount of rules of 12-inches necessary to measure the width of the door
31.50 in (width)
if one rule-------------> measure 12 in
X----------------------> 31.50 in
X=31.50/12=6.8-----------> 2.62 ------------> 3 rules

the answer is 
to measure a door are needed about 7 rules of 12-inches for the height and about 3 rules of 12-inches for the width
7 0
3 years ago
What is the probability that k is the smallest integer in a subset of four different numbers chosen from 1 through 20 (1 ≤ k ≤ 1
Korolek [52]
Hello,

p=4845/116280=0.041666....
=================================
DIM k AS INTEGER, nFav AS LONG, nTot AS LONG, a AS INTEGER, b AS INTEGER, c AS INTEGER, d AS INTEGER
nTot = 0
nFav = 0
FOR k = 1 TO 17
    FOR a = k + 1 TO 18
        FOR b = a + 1 TO 19
            FOR c = b + 1 TO 20
                nFav = nFav + 1
                PRINT nFav; k; a; b; c
            NEXT c
        NEXT b
    NEXT a
NEXT k
nTot = 0
FOR a = 1 TO 20
    FOR b = 1 TO 20
        IF b <> a THEN
            FOR c = 1 TO 20
                IF c <> b AND c <> a THEN
                    FOR d = 1 TO 20
                        IF d <> c AND d <> b AND d <> a THEN
                            nTot = nTot + 1
                            PRINT nTot; a; b; c; d

                        END IF
                    NEXT d
                END IF
            NEXT c
        END IF
    NEXT b
NEXT a
PRINT "nFav="; nFav, "nTot="; nTot, "prob="; nFav / nTot
END



6 0
3 years ago
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