Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>
Step-by-step explanation:
Hey there!
Firstly we need to find an equation of the line passing through point (-2,-2).
Now,
The equation of a st.line passing through point (-2,-2) is,
Now, putting the values,
It is first equation.
Now, another equation is,
y= 2x+3
Comparing, the equation with y = mx+c.
slope (m2)= 2
As per the condition of parallel lines,
m1=m2= 2
Putting, the values of m1 in equation (i)
(y+2)= 2(x+2)
y= 2x+2....is the equation.
Therefore, Jill's equation is correct answer.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer: P-value = 0.1235604
We do not reject the null hypothesis .
Step-by-step explanation:
We know that when the obtained p-value is less than the significance level (
) then we reject the null hypothesis 
otherwise we do not reject null hypothesis .
Given : Two-tailed test with test statistic 
and
The p-value for the given test static (two-tailed)
So , we do not reject the null hypothesis .
