Answer:
48
Step-by-step explanation:
149 - 101 is 48. All you do is subtract the angles.
1/2 (12)(5a+7b)
6(5a+7b)
30a + 42b -- I hope this helped
The equation 7x + 3x - 18 = 6(x+3) is 9
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
given:
7x + 3x - 18 = 6(x+3)
7x + 3x - 18 = 6x+18 [Distributive Property]
10x-18= 6x+18 [Addition Property of Equality]
10x-6x= 18+18 [Combine Like Terms ]
4x=36 [Subtraction Property of Equality]
4*x=36 [Multiplication Property of Equality]
x=36/4 [Division Property of Equality]
x=9
Learn more about equation here:
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1. The pair of vertical angles from the attached diagram are:
<B and <D (OPTION B)
<A and <C (OPTION C)
Vertical angles (which are also known as opposite angles) are a pair of non-adjacent angles which are formed by the intersection of two lines. A pair of vertical angles have an equal measure.
<span>2. </span>False
A rigid transformation DOES NOT result in a figure that is twice as large as the original. A rigid transformation preserves length, therefore it results in a figure that is just as large as the original. Rigid transformation is also called an isometry.
3. The following options (B, D, E, F and H) are the congruent triangles facts that are sufficient to prove triangles congruent
b. SAS (side-angle-side)
d. SSS (side-side-side)
e. HL (hypotenuse leg)
f. AAS (angle-angle-side)
h. ASA (angle-side-angle)
4. Perpendicular lines is the term used in elementary geometry to describe two lines that intersect and form right angles (90 degrees). Perpendicularity is a symmetric property, that is, if line A is perpendicular to line B, then line B is also perpendicular to line A<span>.</span>