Answer:
z = 86 °
and, x = 2
Step-by-step explanation:
We know that a straight line is a 180 degree-angle. So, we know that
94 + z must equal 180, because they are the only two angles that make up the straight line.
from this information, (that 94 + z = 180) we can easily find z.
(this is typically an intuitive method of subtracting 94 from 180)
94 + z = 180
-94 -94
z = 86 °
-- we know that the relation between z and (10x + 74) must also be equal to 180, as they make up a straight line
if z = 86, then we can know that (10x + 74) must be equal to
(10x + 74) + 86 = 180
- 86 -86
(10x + 74) = 94
10x + 74 = 94
- 74 - 74
10 x = 20
÷ 10 ÷ 10
x = 2
so, z = 86 °
and, x = 2
(I am assuming that this "unprotected placement assessment" has already taken place, and you would like to understand a question. Or, this is a practice assessment. Because there is no point to cheating on a placement assessment--you will just skip over material you don't know. And, it wouldn't align with Brainly's honor policy. Hope you learn from this!!)
Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
Answer:
$6 per cat, $10 per car
Step-by-step explanation:
I guess and checked my work.
<h2>
Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have
, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers : 
Test statistic : 
P-value : 
[ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.
(0,5) is the y-intercept, which is also interpreted as the "initial value."
Best to answer this question as follows: "<span> the initial value of the function represented by this graph is 5. "</span>
