The <u>congruency theorem</u> gives you an opportunity to prove that <u>two triangles</u> are <u>congruent</u>.
Consider triangles WUT and VTU. In these triangles:
- WU≅VT (given);
- ∠T≅∠U, m∠T=m∠U=90° (from the diagram);
- side TU is common.
Note that triangles WUT and VTU are right triangles, because m∠T=m∠U=90°. Side TU is common leg and sides WU and VT are hypotenuses.
HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.
Answer: correct choice is B
Answer:
24 degrees
Step-by-step explanation:
since BD is an angle bisector, the given numbers are equal to each other
this means that you can write the equation as: 6x = x + 20
subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20
then divide both sides by 5 to find x: x = 4
now substitute this into the value given for angle ABD: 6(4)
this gives you 24 degrees
Everyday the company charges $12 you for renting the car. So, if you rent the car for 7 days then the cost will be $84. $12 * 7 = $84
And for every mile you drive, you pay $0.30. So, if you drive for 100 miles you will pay $30.
Now we can put this into an equation.
y = 12x + 250(0.30)
The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;
- y(x) = - 16x² + 36x + 4
- Height at x = 1.7 = 18.89 feets
<u>The table given</u> :
Time, x : __0.5 ___ 1 ____ 1.5 ____ 2
Height, y _ 18 ____22 ___ 24 ____ 12
<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;
The quadratic regression model obtained is :
<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :
Put x = 1.7 in the equation :
- y(1.7) = - 16(1.7)² + 36(1.7) + 4
- y = 18.89 feets
Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.
Learn more : brainly.com/question/22939512
