Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Step-by-step explanation:
q(a) = ½a + 38
The slope of q is ½. So the perpendicular slope is -1/½ = -2.
Write h(x) in point-slope form:
h − (-7) = -2 (x − 12)
h + 7 = -2 (x − 12)
Simplify to get slope-intercept form.
h + 7 = -2x + 24
h = -2x + 17
Answer:
Step-by-step explanation:
Let the third side of the triangle be 
.
We can apply the cosine rule to find 
.
We evaluate to obtain;
We take the positive square root of both sides to obtain;
The correct answer is B.
Hello there!
Decimal
To convert a percentage to decimal, you move the decimal point 2 places to the left. 600% - 6.0
Fraction
To convert a percentage to a fraction, divide the percentage by 100. 600/100 = 6/1 = 6
Hope this helps! :)
Answer:
Step-by-step explanation:
Given that:
4 papers are delivered by first person in one minute.
Rate of delivering one paper
or
Time taken to deliver one paper can be calculated by the formula:
Time taken to deliver one paper by first person = 
3 papers are delivered by second person in one minute.
Time taken to deliver one paper by second person = 
Total number of papers = 75
Number of papers delivered by first person = 
So, number of papers delivered by second person = (
)
Time taken to deliver newspapers = Number of newspapers delivered <em>multiplied by </em>Time taken to deliver one newspaper
Time taken by first person = 
Time taken by second person = 
So, Total time taken can be written as:
