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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Answer:
All real values, (-∞, ∞)
Step-by-step explanation:
<u>Step 1: Distribute</u>
5y + (86 - y) = 86 + 4y
5y + 86 - y = 86 + 4y
<u>Step 2: Combine like terms</u>
5y + 86 - y = 86 + 4y
4y + 86 = 86 + 4y
<u>Step 3: Subtract 4y from both sides</u>
4y + 86 - 4y = 86 + 4y - 4y
86 = 86
<u>Step 4: Subtract 86 from both sides</u>
0 = 0
Answer: All real values, (-∞, ∞)
Answer:
the answer is -5< x
Step-by-step explanation:
you you start by subtracting 7 by both sides leaving you with -20<4x. then then divide both sides by 4 leaving you with -5< x
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Answer:
35,000,000 miligrams
Step-by-step explanation:
1 kilograms= 1,000,000
1,000,000×35=35,000,000
