Answer:
I think is 6,-6. Because if you multiply 6×6=36 and -6×-6=36
The area of the triangle is 90 m²
Explanation:
Given that the base of the triangle is 15 m
The altitude of the triangle is 12 m
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,

where b is the base and h is the altitude
Thus, we have,
and 
Substituting the values in the above formula, we get,

Multiplying the terms, we get,

Dividing, we get,

Therefore, the area of the triangle is 90 m²
Answer:
99
Step-by-step explanation:
99 because x= 10 so 10 times 10 is 100 - 1 will = 99
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂

Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:



Point D is 4 points to the right of A;
i.e.

Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.

Hence, ABC will be moved 3 units down to lie on GHI.