Answer:
Q1
<1=80°
<2=40°
<3=25°
Q2
<JKM=30.5°
Step-by-step explanation:
Q1
Angles at the centre of a circle standing on an arc measure, such as the way <1 stands on an arc measure of 80°, are equal to that arc measure:
<1=80°
An angle on the curve of a circle standing on an arc, such as <2, is half of an angle standing on the same arc at the centre, such as <1:
<2=0.5(<1)=0.5(80)=40°
The measure of a secant-secant angle, like <3, is one-half the difference of the measures of the intercepted arcs, in this case 30° and 80°.
<3=0.5(80-30)=0.5(50)=25°
Q2
Angles at the centre of a circle standing on an arc measure, are equal to that arc measure. So imagine an angle standing at the centre, sitting on the measure mML - it would equal 187°.
However since an angle on the curve of a circle standing on the same arc as an angle at the centre is half the angle at the centre, we can say that:
<MKL=(0.5)187=93.5
The angles along a straight line add to 180, so
<JKM+93.5+56=180
<JKM=180-149.5=30.5
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
Answer:
Step-by-step explanation: he hasn't found the right store yet..
Answer:
A (NO) B(YES) C(YES)
Step-by-step explanation:
Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.
"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable
.
"Add 9 to both sides of
to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is:
.
When we plug the values:
Simplify:
"Write the trinomial
as
squared."
When you factor
, you will get
.
"Use the square root property of equality to get
."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.
"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign: