Answer:
1: two sides and angle of one triangle are congruent.
Step-by-step explanation:
The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.
Hope this helps
<span><span><span>15+<span>3t</span></span>−5</span>−<span>8t</span></span><span>=<span><span><span><span><span>15+<span>3t</span></span>+</span>−5</span>+</span>−<span>8t</span></span></span>Combine Like Terms:<span>=<span><span><span>15+<span>3t</span></span>+<span>−5</span></span>+<span>−<span>8t</span></span></span></span><span>=<span><span>(<span><span>3t</span>+<span>−<span>8t</span></span></span>)</span>+<span>(<span>15+<span>−5</span></span>)</span></span></span><span>=<span><span>−<span>5t</span></span>+10</span></span>Answer:<span>=<span><span>−<span>5t</span></span>+<span>10</span></span></span>
Answer:
a) (4x® - 5x + 15) - (11 - 7x - 2x)
b)(9x- 6x® - 7x-2) + (10x - 8x + 11)
Step-by-step explanation:
a) (4x® - 5x + 15) - (11 - 7x - 2x)
b)(9x- 6x® - 7x-2) + (10x - 8x + 11)
Given :
There are 23 red shirts and 16 white shirts they will be put onto shelves in piles of 8.
To Find :
How many shirts will not fit evenly into 8 piles.
Solution :
We need to find the number of shirts which will not fit evenly into 8 piles.
What we need is the remainder of 23 divided by 8.
23 = 8×2 + 7
So, their are 7 shirts which will not fit evenly.
Hence, this is the required solution.
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
