For the triangle picture:
2/6 = 5/x
2x = 30
x = 15
For the other picture:
3.2/2 = a/8
The third option applies.
Other option does not apply.
Because for Option 4,
It should be 2/3.2 = b/6.4
For option 3,
it should be b/6.4 = 5/8
Answer:
see below
Step-by-step explanation:
1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector
2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate________________
3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra
4. DE = _KE____ = Given
5. EF = _FE____ = Reflexive property
6. △DEF ≅ △_KEF____ = _SAS postulate________________
7. DF = FK_____ = ___CPCTC (corresponding parts of congruent triangles are congurent)______________
8. KF = 1/2DK =8 _____ = Algebra, 7
6x is the correct answer.
Answer:
x ≥ −42
Step-by-step explanation:
Let's solve your inequality step-by-step.
x/7≥−6
Step 1: Simplify both sides of the inequality.
Step 2: Multiply both sides by 7.
x ≥ −42
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
