Answer:
143º
Step-by-step explanation:
You want to find m<HBD
which is m<HBA minus m<BAD
180º minus 37º equals 143º
m<HBD is equal to 143º
Please give me brainliest
Can anyone who sees this answer my latest question?
I need help with it very soon.
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.
In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:
80 + 2x = 180
Subtract 80 from both sides of the equation.
2x = 100
Divide both sides by 2.
x = 50
This means that angle F and angle H in ∆FDH both measure 50°.
Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.
First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.
**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**
In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:
Angle DHF + Angle DHG = 180°
50° + Angle DHG = 180°.
Angle DHG = 130°.
Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:
130 + 2x = 180
2x = 50
x = 25
The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.
Solution: 25°
To find the 'maximum height' we will need to take the derivative of h(t) = –16t² + 32t + 6 then set it equal to zero, then solve for t. this t will be the time at which the ball reaches it's maximum height.
Basically the question is asking you for the area of the triangle.
The formula to find the area of a triangle is base x height divided by 2.
So in this case you would do 27 x 15.5 = 418.5
Now you divide by 2 (209.25)
So the answer is D. Hope this helps!!
First isolate y
3x + 2y = 14
-3x -3x
2y = -3x + 14
y = -3/2x + 14/2
y = -3/2x + 7
X-intercept is found when y = 0
0 = -3/2x + 7
-7 = -3/2x
x = 14/3
x-in. = (14/3,0)