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Over [174]
3 years ago
5

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate

geometric figures. (10 points)
Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

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(a) Solve h+2/6 = h-3/4
notka56 [123]
A) h + 2/6 = h- 3/4
<=> h - h = -2/6 - 3/4
<=> 0 = -24/24 = -1
<=> 0 = -1 ( wrong ?)

b) 2x = y + 6
6x - 2y = 13

<=> 3.2x = 3.(y + 6)
6x - 2y = 13

<=> 6x = 3y +18
6x = 2y +13

==> 3y + 18 = 2y + 13 ==> 3y - 2y = 13 - 18 <=> y = -5
We have y = -5 and 6x = 2y +13 ==> 6x = 2. (-5) + 13 = -3
<=> 6x = - 3 <=> x = -3/6 = -1/2
3 0
3 years ago
What is... 55.
sukhopar [10]

Answer:

one more would be 56

one less would be 54

ten more would 65

ten less would be 45

Step-by-step explanation:

add one more to 55 to get 56

subtract one from 55 to get 54

add ten more to 55 to get 65

subtract ten from 55 to get 45

3 0
3 years ago
How many planes appear in the<br> figure?
lapo4ka [179]

There is no figure. You will have to take a picture to show us.

5 0
3 years ago
Read 2 more answers
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1
Luden [163]

Answer:

229.5cm^{2}

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 cm^{2}

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = \frac{h * b}{2}

At = \frac{15cm * 13cm}{2}

At = \frac{195cm^{2} }{2}

At = 97.5cm^{2}

Now we simply add both areas together to calculate the total area of the arrow...

132cm^{2} + 97.5cm^{2} = 229.5cm^{2}

6 0
3 years ago
Read 2 more answers
What amount would yield an interest of $66 in 2 years at 3% p.a.?
yuradex [85]
It would be 12 because you have to solve for the percent
6 0
3 years ago
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