A quadrilateral has angles that measure 74°, 93°, and 117°.

1 answer:

6 0

The other angle should be 76 degrees since every quadrilateral has 360 degrees total with 4 angles. So if you add th numbers up and subtract it from 360, you woukd get 76 degrees.

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The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

inessss [21]

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

7 0

3 years ago

The drama club is selling tickets for a play. The profit, y, is

Goshia [24]

Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x + 40x – 3,200 = 0

x(x-80)+40(x-80) = 0

(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets

8 0

2 years ago

HELP ASAP!!! DUE IMMEDIATELY!!!

Setler [38]

Answer:

Angle ABD is 16 degrees and Angle DBC is 74 degrees

Step-by-step explanation:

Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)

7 0

1 year ago

if <img src="https://tex.z-dn.net/?f=h%28x%29%3D4x%5E%7B2%7D%20-16" id="TexFormula1" title="h(x)=4x^{2} -16" alt="h(x)=4x^{2} -1

spayn [35]

Ummmmmmmmmmmm theeeee answerrrrrr isssssss 11,13

4 0

3 years ago

Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$