Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
There would be $ 0.99 sales tax on the meal.
Step-by-step explanation:
Given,
The cost of the meal ordered by him = $15,
sales tax rate percentage = 6.6%,
Thus, the amount of the sales tax = 6.6% of the cost of the meal
= 6.6% of 15
The length of the hypothenuse or the value of x is equal to 19.53
Data;
- hypothenuse = x
- adjacent = 11.2
- opposite = 16
<h3>Pythagoras's Theorem</h3>
To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
![x^2 = y^2 + z^2\\](https://tex.z-dn.net/?f=x%5E2%20%3D%20y%5E2%20%2B%20z%5E2%5C%5C)
Let's substitute the values and solve for the missing side
![x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53](https://tex.z-dn.net/?f=x%5E2%20%3D%2016%5E2%20%2B%2011.2%5E2%20%5C%5Cx%5E2%20%3D%20256%20%2B%20125.44%5C%5Cx%5E2%20%3D%20381.44%5C%5Cx%20%3D%20%5Csqrt%7B381.44%7D%20%5C%5Cx%20%3D%2019.53)
The length of the hypothenuse or the value of x is equal to 19.53
Learn more Pythagoras theorem here;
brainly.com/question/3317136
Answer:
slope is 1
Step-by-step explanation:
5-3/-4--6 = 2/2 = 1
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.