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3 years ago

What is the measure of angle D? 52 54 57 126

Mathematics

2 answers:

Fudgin [204]3 years ago

7 0

Answer: 52

Step-by-step explanation:

aalyn [17]3 years ago

6 0

Answer: $52^{\circ}$

Step-by-step explanation:

We know that the sum of a ll the angles of a quadrilateral is 360 degrees.

Then for the given trapezoid, applying the angle sum property of quadrilateral we get

$\angle{A}+\angle{B}+\angle{C}+\angle{D}=360^{\circ}\\\\\Rightarrow\ 128^{\circ}+126^{\circ}+54^{\circ}\angle{D}=360^{\circ}\\\\\Rightarrow\ \angle{D}=360-128-126-54\\\\\Rightarrow\ \angle{D}=360-308\\\\\Rightarrow\ \angle{D}=52^{\circ}$

Hence, The measure of angle D = $52^{\circ}$

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BigorU [14]

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3 years ago

URGENT PLEASE HELP ME

kvasek [131]

Answer:

110in

Step-by-step explanation:

You are given the angle and the length of one leg of the triangle. Therefore, you will want to use one of the trigonometric formulae you've learnt. The available ones are:

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where O represents the leg opposite the angle, A represents the leg Adjacent to the angle, and H represents the hypotenuse. The lamppost in this problem is the leg opposite the angle, so you want a formula that has O in the equation, namely sin or tan. Because you were given the leg adjacent to the angle, it makes sense here to use tan. Set up the equation as such to solve:

$tan(70)=\frac{x}{40}\\40*tan(70)=x\\x=110\\$

For some reason, it wanted you to convert 70 degrees to radians, so that may have been where you could have run into issues. If you plugged in 70 as degrees, you would get 48 which isn't an option. Converting 70 to 1.22 rad gets you the answer of 110 in.

5 0

3 years ago

What is the nth term rule for the liner sequence below 15,7,-1,-9,-17

Volgvan

Answer:

-8n+7

Step-by-step explanation:

the difference between the values is 8, as it decreases by 8, it withh be 8n

It does not start at 8 though, so you do 15-8 to find the different which is added on which is 7 in this case

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3 years ago

What is the quotient of the following? 22.578 ÷ 2.13

lilavasa [31]

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3 years ago

line J passes through points (-6,1) and (-3,6) . Line m is parallel to line j and passes through point (15,-1).what is the equat

VMariaS [17]

Slope of the line J
(6-1) / (-3-(-6))
5 / 3

so
m = 5/3

If this line passes through (15,-1)
y = mx + c
-1 = (5/3)*15 + c
-1 = 25 + c
c = -26

equation is
y = (5/3)x - 26

7 0

4 years ago