By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
<h3>How to determine angle <XYZ?</h3>
By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
<h3>What is the theorem of
intersecting secants?</h3>
The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
Read more on intersecting secants here: brainly.com/question/1626547
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Here is my calculation:
30 x 10= 300
7/4 because you times 4 and 1.then add 3 and you get 7 so 7/4
Answer:
$4
Step-by-step explanation:
12÷4=3
7÷7=1
3+1=4
therefore she spent 4 dollars
Answer:
Step-by-step explanation:
let number of passion fruits=x
number of dragon fruits=x+10% of x
=x+0.1 x=(1+0.1)x=1.1 x
total number of fruits=x+1.1 x=(1+1.1)x=2.1 x
1.1x+60% of 1.1x+x+9% of x=2.1x+75
1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75
1.1x+0.66 x+x+0.09 of x =2.1x+75
2.1 x+0.75x-2.1 x=75
0.75 x=75
