Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
Answer:
Total number of pens you have when you are given 9 pens when you already have 3 pens.
Step-by-step explanation:
Integers are whole numbers (0,1,2,3,4.... so on )and their negative terms
like (-1,-2,-3,-4.....so on).
Numbers are used to quantify situation of real world so that their analysis and understanding becomes easier for humans.
__________________________________
we know that number of months in a year is 12
Number of months in a year can be represented by 12.
Situation 2
If you have 3 pens and is given 9 more pens.
Then total numbers of pen will be (9+2) = 12\
Thus, other situation is total number of pens you have when you are given 9 pens when you already have 3 pens.
Answer:
distributive property
Step-by-step explanation:
Answer:
Part A) In the scale drawing the length of the swimming pool is 10 cm and the width is 5 cm
Part B) The actual length of the bus is 45 ft
Step-by-step explanation:
Part A) Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters
we know that
The scale is ![\frac{1}{5} \frac{cm}{m}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%5Cfrac%7Bcm%7D%7Bm%7D)
To find out the dimensions of the pool in the scale drawing, multiply the actual dimensions by the scale factor
<em>Find the length in the scale drawing</em>
![\frac{1}{5} \frac{cm}{m}(50\ m)=10\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%5Cfrac%7Bcm%7D%7Bm%7D%2850%5C%20m%29%3D10%5C%20cm)
<em>Find the width in the scale drawing</em>
![\frac{1}{5} \frac{cm}{m}(25\ m)=5\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%5Cfrac%7Bcm%7D%7Bm%7D%2825%5C%20m%29%3D5%5C%20cm)
Part B) What is the actual length of the bus?
we know that
The scale is ![\frac{0.5}{5} \frac{in}{ft}=0.1\frac{in}{ft}](https://tex.z-dn.net/?f=%5Cfrac%7B0.5%7D%7B5%7D%20%5Cfrac%7Bin%7D%7Bft%7D%3D0.1%5Cfrac%7Bin%7D%7Bft%7D)
The length of the school bus is 4 1/2 inches on the scale drawing
To find out the actual length of the bus, divide the length in the scale drawing by the scale
Convert mixed number to an improper fraction
![4\frac{1}{2}\ in=\frac{4*2+1}{2}=\frac{9}{2}\ in](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D%5C%20in%3D%5Cfrac%7B4%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B2%7D%5C%20in)
<em>Find the actual length of the bus</em>
![\frac{\frac{9}{2}\ in}{0.1\frac{in}{ft}}=45\ ft](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B9%7D%7B2%7D%5C%20in%7D%7B0.1%5Cfrac%7Bin%7D%7Bft%7D%7D%3D45%5C%20ft)
Answer:
y = 97°
Explanation:
Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°
So following the rule:
A + C = 180°
y + 83° = 180°
y = 180° - 83°
y = 97°