<h2><u>
Answer With Explanation:</u></h2>
<u>Firstly, let's start with <XOZ: =55°</u>
We know that <ZOQ is 70° and angles on a line add up to 180° so we do 180-70=110 110 divided by 2 = 55 so the 2 angles (XOZ & XOP are 55)
<u>Secondly, <OMN, <MON & <ONM = All are 60°</u>
These 2 angles are joined to create an equilateral triangle which always adds up to 180°
So, there are 3 points to this triangle, therefore we divide 180 by 3 which is 60. The angles are 60°
<u>Thirdly, <QON: =55°</u>
This angle lies on the line XON which needs to add up to 180°
As we worked out before, <XOZ was 55°
So, <ZOQ was already given as 70°
We then do 55+70=125 then 180-125=55°
<QON is 55°
(I'm only in Grade 9 LOL)
Answer:
x<10
Step-by-step explanation:
Add '-7' to each side of the equation.
7 + -7 + -0.3x = 4 + -7
Combine like terms: 7 + -7 = 0
0 + -0.3x = 4 + -7
-0.3x = 4 + -7
Combine like terms: 4 + -7 = -3
-0.3x = -3
Divide each side by '-0.3'.
x = 10
Simplifying
x = 10
Congruent sides, so isosceles triangle. When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D. So x=ADB=90 degrees.
Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.
y = 90 - 47 = 43
Answer: x=90, y=43
Answer:
Step-by-step explanation:
Volume= length × width × height.... Volume= 20 1/2 × 12 × 10 1/4..... Volume= 2521 1/2 cubic inches or 2521.5 cubic inches
Answer:
80 units³
Step-by-step explanation:
→ State the formula
Length × Width × Height
→ Substitute in the values
8 × 2 × 5
→ Simplify
80 units³