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2 years ago

Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Mathematics

1 answer:

Taya2010 [7]2 years ago

8 0

AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles

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Jorge solves the equation 4x-(x+2)+6

Burka [1]

Answer:

Step-by-step explanation:

2x+6

Callie

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2 years ago

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In circle M shown, chords GH and EF intersect at K such that EK  5 and FK  6 . If GK  3 , then which of the following is the

myrzilka [38]

The length of the GH segment is 13

Step-by-step explanation:

For solving this problem we need to remember some of the circle corollaries-

When two-chord intersects each other, the product of the chord segments are equal

The above corollary can be easily understood by looking at a diagram attached below-

In the figure, EF and GH are two chords intersecting at K

Thus, EK*KF= GK*KH

Values of the EK, KF, GK are given as 5, 6 and 3 respectively

Substituting the values we get

5*6=3*KH

KH= 10

We know that GH= GK+KH

Thus GH= 3+10= 13

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2 years ago

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile

nevsk [136]

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

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Commercial jet traveled 500 miles in 100 minutes.

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2 years ago

Solve for x in the equation x squared + 14 x + 17 = negative 96. x = negative 7 plus-or-minus 4 StartRoot 6 EndRoot i x = –7 ± 8

blagie [28]

Answer:

$x=-7\pm8i$

Step-by-step explanation:

we have

$x^{2} +14x+17=-96$

Equate to zero

$x^{2} +14x+17+96=0$

$x^{2} +14x+113=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +14x+113=0$

$a=1\\b=14\\c=113$

substitute in the formula

$x=\frac{-14\pm\sqrt{14^{2}-4(1)(113)}} {2(1)}$

$x=\frac{-14\pm\sqrt{-256}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-14\pm16i} {2}$

$x=-7\pm8i$

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2 years ago

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Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout

KATRIN_1 [288]

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

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Then, divide by 4 to find the cost of each individual ticket.

240/4

Hope it helps!

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2 years ago