Answer:
30°
Step-by-step explanation:
Angle C = 55°, Angle D = Angle A = 65°, Angle B = 2x
Sum of angles in a triangle = 180°
65° + 55° + 2x = 180
120 + 2x = 180
2x = 180 - 120
2x = 60
x = 30°
Answer:
1 = 68
2 = 68
3 = 125
Step-by-step explanation:
Hey there!
To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180
180-73-39=68
1=68
angle 2 is vertical to angle 1 therefore they are congruent angles so
2 also equals 68
So we know that the interior angles in a 4 sided shape add up to equal 360
so to find 3 we subtract the given angles from 360
360-90-77-68=125
so 3 = 125
Answer:
1.5.80 miles
2.9.80ft
3.56 inches
4.5.20 units
5. 13 units
6.5.40 ft
Step-by-step explanation:
⇒These questions are on the Pythagorean relationship
⇒General expression is ;
a²+b²=c² where a and b are values for the legs and c is the hypotenuse
1. Isaiah waked 3 miles north and 5 miles east.
Finding the distance from starting point we apply the equation;
a²+b²=c² where a=5 miles and b=3miles
5²+3²=c²
25+9=c²
34=c²
c=√34 = 5.80 miles
2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.
a²+b²=c²
2²+b²=10²
4+b²=100
b²=100-4
b=√96
b=9.80 ft
3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of the television which represents the side b
a²+ b²=c²
42²+b²=70²
b²=70²-42²
b=√3136
c=56 inches
4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.
c= 6 units and a=6/2= 3 units
a²+b²=c² 3²+ b²= 6²
9+b²=36
b²=36-9
b=√27 =5.20 units
5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;
a²+b²=c²..........where a=5 and b=12
5²+12²=c²
25+144=c²⇒⇒⇒c=√169 =13 units
6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.
a²+b²=c²
5²+2²=c²
25+4=c²
29=c²
√29=c
c=5.40 ft
Answer:
3
Step-by-step explanation:
Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So, you get 18 - 6 / 5-1 = 12/4 = 3
Answer:
Step-by-step explanation: First right 56 + 96 in factor forms while one factor is the GCF and other is a sum of two numbers they do not have a common factor that all you gotta do right 56 + 96 in factor forms and follow the rest
