Answer:
x=141
Step-by-step explanation:
(n-2)•180 = Sum of all the interior angles
n = # of sides
(7-2)•180
5•180
900= Sum of all the interior angles
Add all the angles and equal them to 900
125+122+131+x+7+x+107+x-15=900
Add all the numbers up first on the left side
477+3x=900
3x=423
x=141
Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer:
Step-by-step explanation:
That is correct.
P=4s=4(12)=48in
A=s^2=12^2=144in^2
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:
Below.
Step-by-step explanation:
These are perpendicular line which intersect at (-4, -9).
Vertical line is x = -4.
Horizontal lone is y = -9.
