Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
Answer:
75°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = ? = θ
Side length opposite to reference angle = 27
Hypotenuse length = 28
Apply SOH, which is:

Substitute


(nearest degree)
− 10/8
− 15/12
− 20/16
− 25/20
− 40/32
These are all equal, the list could go on but here are many
Answer:
12 45 67 88 90
Step-by-step explanation:
Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:

Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>

slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>