Answer:
The value of x is 31°
Step-by-step explanation:
As we can see, the two angles at the bottom of the shape are base angles. These angles both form right angles which means they both have a measurement of 90°. Knowing this information, we can set up an equation to solve for x.
47 + (x + 12) = 90
47 + x + 12 = 90
Add 12 to 47.
59 + x = 90
Subtract 59 on both sides of the equation.
x = 31
The value of x is equal to 31.
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
brainly.com/question/22698523
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18 plants i think is the answer
Answer:Kirk is taller than Joey by 8 inches
Step-by-step explanation:
Step 1
Kirk's height is given as =5 feet 4 inches tall.
Joey's height 4 feet 8 inches tall
Difference in height = 5 feet 4 inches
- 4 feet 8 inches
=
Step 2
Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet, which is equivalent to 12 inches and add to inches so it becomes
4 feet (12+4)inches = 4 feet 16inches
- 4 feet 8 inches - 4 feet 8 inches
= 8 inches
Therefore Kirk is taller than Joey by 8 inches
