Answer:
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Step-by-step explanation:
The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.
In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Now we can conclude that the triangles are congruent.
Answer:
The answer is true
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2
Answer:
23 is the prime number
How?
▶
<u>21 is divisible by 3</u>
<u>21 is divisible by 322 is divisible by 2</u>
<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. </u>
<u>21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2 </u>
Answer: the cost of each bush is $15
the cost of each flower is $2
Step-by-step explanation:
Let x represent the cost of each bush.
Let y represent the cost of each flower.
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as
12x + 30y = 240- - - - - - - - - - -1
Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as
7x + 10y = 125- - - - - - - - - - -2
Multiplying equation 1 by 7 and equation 2 by 12, it becomes
84x + 210y = 1680
84x + 120y = 1500
Subtracting, it becomes
90y = 180
y = 180/90
y = 2
Substituting y = 2 into equation 1, it becomes
12x + 30 × 2 = 240
12x + 60 = 240
12x = 240 - 60 = 180
x = 180/12
x = 15
