Answer:
SinZ = 4/5
Step-by-step explanation:
Hope it helps you!
The area of the triangle will then be 9 times as great.
The formula of the area of a triangle is 1/2bh, so if the base has been tripled and the height has been tripled, you're essentially multiplying 3 to the original equation twice (3 x 3 = 9).
Answer:
Constant rate of change for Jaz height will be 0.5 inch per month
Step-by-step explanation:
Jaz present height is 43 inches.
Eighteen months later her height will be 52 inches.
Now we know rate of change will be represented by the formula
Rate of change of height =
=
= 0.5 inch per month
The constant rate of change for Jaz height will be 0.5 inch per month.
Read more on Brainly.com - brainly.com/question/2012372#readmore
This is a pathagorean triple is this triangle is a right triangle
3)
![\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\ 1.AY=BX&\text{1. Given}\\ 2.AB \cong AB&\text{2. Reflexive Property}\\ 3. AD || BC&\text{3. Property of a square}\\ 4. \angle ABE \cong \angle AXB&\text{4. Alternate Interior Angles}\\ 5. \angle BAY \cong \angle BYA&\text{5. Alternate Interior Angles}\\6. \triangle BAX \cong \triangle ABY&\text{6. Angle-Side-Angle Theorem}\\ 7. AX \cong BY&\text{7. CPCTC}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Cunderline%7BStatement%7D%26%5Cunderline%7BReason%7D%5C%5C%201.AY%3DBX%26%5Ctext%7B1.%20Given%7D%5C%5C%202.AB%20%5Ccong%20AB%26%5Ctext%7B2.%20Reflexive%20Property%7D%5C%5C%203.%20AD%20%7C%7C%20BC%26%5Ctext%7B3.%20Property%20of%20a%20square%7D%5C%5C%204.%20%5Cangle%20ABE%20%5Ccong%20%5Cangle%20AXB%26%5Ctext%7B4.%20Alternate%20Interior%20Angles%7D%5C%5C%205.%20%5Cangle%20BAY%20%5Ccong%20%5Cangle%20BYA%26%5Ctext%7B5.%20Alternate%20Interior%20Angles%7D%5C%5C6.%20%5Ctriangle%20BAX%20%5Ccong%20%5Ctriangle%20ABY%26%5Ctext%7B6.%20Angle-Side-Angle%20Theorem%7D%5C%5C%207.%20AX%20%5Ccong%20BY%26%5Ctext%7B7.%20CPCTC%7D%5C%5C%5Cend%7Barray%7D)
*************************************************************************************
6)
![\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\1. AB=CF&\text{1. Given}\\2.AB+BF=A'F&\text{2. Segment Addition Postulate}\\3.CF+BF=A'F&\text{3. Substitution Property}\\4.CF+BF+BC&\text{4. Segment Addition Postulate}\\5.A'F=BC&\text{5. Transitive Property}\\6. \angle AFE = \angle DBC&\text{6. Given}\\7. EF = BD&\text{7. Given}\\8. \triangle AFE \cong \triangle CBD&\text{8. Side-Angle-Side Theorem}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Cunderline%7BStatement%7D%26%5Cunderline%7BReason%7D%5C%5C1.%20AB%3DCF%26%5Ctext%7B1.%20Given%7D%5C%5C2.AB%2BBF%3DA%27F%26%5Ctext%7B2.%20Segment%20Addition%20Postulate%7D%5C%5C3.CF%2BBF%3DA%27F%26%5Ctext%7B3.%20Substitution%20Property%7D%5C%5C4.CF%2BBF%2BBC%26%5Ctext%7B4.%20Segment%20Addition%20Postulate%7D%5C%5C5.A%27F%3DBC%26%5Ctext%7B5.%20Transitive%20Property%7D%5C%5C6.%20%5Cangle%20AFE%20%3D%20%5Cangle%20DBC%26%5Ctext%7B6.%20Given%7D%5C%5C7.%20EF%20%3D%20BD%26%5Ctext%7B7.%20Given%7D%5C%5C8.%20%5Ctriangle%20AFE%20%5Ccong%20%5Ctriangle%20CBD%26%5Ctext%7B8.%20Side-Angle-Side%20Theorem%7D%5C%5C%5Cend%7Barray%7D)
*************************************************************************************
7)
![\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\\text{1.AC bisects }\angle BAD&\text{1. Given}\\2. \angle BAC \cong \angle DAC&\text{2. Property of angle bisector}\\3.AC = AC&\text{3. Reflexive Property}&4. \angle ACB \cong \angle ACD&\text{4. Property of angle bisector}\\5. \triangle ABC \cong \triangle ADC&\text{5. Angle-Side-Angle Theorem}\\6.BC=CD&\text{6. CPCTC}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Cunderline%7BStatement%7D%26%5Cunderline%7BReason%7D%5C%5C%5Ctext%7B1.AC%20bisects%20%7D%5Cangle%20BAD%26%5Ctext%7B1.%20Given%7D%5C%5C2.%20%5Cangle%20BAC%20%5Ccong%20%5Cangle%20DAC%26%5Ctext%7B2.%20Property%20of%20angle%20bisector%7D%5C%5C3.AC%20%3D%20AC%26%5Ctext%7B3.%20Reflexive%20Property%7D%264.%20%5Cangle%20ACB%20%5Ccong%20%5Cangle%20ACD%26%5Ctext%7B4.%20Property%20of%20angle%20bisector%7D%5C%5C5.%20%5Ctriangle%20ABC%20%5Ccong%20%5Ctriangle%20ADC%26%5Ctext%7B5.%20Angle-Side-Angle%20Theorem%7D%5C%5C6.BC%3DCD%26%5Ctext%7B6.%20CPCTC%7D%5C%5C%5Cend%7Barray%7D)