<span>before answering this question, we should know the properties of angles and parallel lines. For example, two angles are called interior alternate angles, if each angle is created by the existence of two parallel lines and a an another line called transversal. As for our case, 3 and 5 are alternate angles, so meas 3 = meas 5. It verifies Z test when we look at the figure.</span>
Answer: 1️⃣ 40
Step-by-step explanation:
<em>x - is the side of the square</em>
<em />![x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%20%20%3D%2810%5Csqrt%7B2%7D%29%5E%7B2%7D%20%20%5C%5C2x%5E%7B2%7D%7D%20%20%3D200%5C%5C2x%5E%7B2%7D%20%5Cdiv%20%202%3D200%20%5Cdiv%20%202%20%5C%5Cx%5E%7B2%7D%20%3D100%5C%5Cx%3D%5Csqrt%7B100%7D%20%5C%5Cx%3D10%20%5C%3A%20%20%5Bcm%5D%20-%20side%20%5C%3A%20of%20%20%5C%3A%20a%20%5C%3A%20square)
<em />
<em>Find the perimeter of the square.</em>
<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>
<em />
Answer:
125°
Step-by-step explanation:
A triangle is 180°. You already have 2 angle measures given.
30° + 25° = 55° 180° - 55° = 125°
Angle y is an obtuse angle, an angle measure greater than 90°.
Answer:
ATM=NOP
Step-by-step explanation:
we know that NP=TM
we know that OP=AM
we know that angle NOP= angle TAM
using side angle side theorem (SAS) we can determine congruency
10:14 or 10 to 14
The total number of roses is 14 and there are 10 red roses. For every 14 roses there are 10 red roses.
