In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

$\angle DIH\cong \angle EGH$ as alternate interior angles;
$\angle DHI\cong \angle GHE$ as vertical angles;
$DH\cong HE$ because point H bisects segment DE (given).

Thus,

$\triangle DIH\cong \triangle EGH$ by AAS postulate

4 0

3 years ago

True or False Plane KLM and Plane NQR are parallel planes

Nana76 [90]

Answer:

i saed to answer it and it didnt show me the image so im conf

Step-by-step explanation:

so probably they are, unlees one is acxute and the other is obtuse then.... ur on ur own buddy,

3 0

3 years ago

Andrew is painting a wall on the side of his house. He has a 20 foot ladder wich makes a 79 degree angle with the ground. Standi

torisob [31]

Andrew can reach a maximum of $24.6ft$ high up the wall.

The right-angled triangle formed can be solved using the $sine$ ratio. that is

$sin(72^\circ})=\dfrac{h}{20}$

where $h$ is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for $h$ , we get

$0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft$

Since Andrew can reach an extra $5ft$ above the point where the ladder rests against the wall, the maximum height Andrew can paint is

$(19.632+5)ft=24.632ft\\\\\approx24.6ft$

Another solved word problem on trigonometry can be found here: brainly.com/question/12146092

3 0

3 years ago

3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the

Mnenie [13.5K]

Assuming the interest is simple interest, as opposed to compound interest,

$\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3600\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years\to &25
\end{cases}
\\\\\\
A=3600(1+0.09\cdot 25)\implies 3600(3.25)$

3 0

3 years ago