Simplify<span>. </span>Write each<span> answer in </span>standard form<span>. 54412 + 2x + 5) + (7x2 - 5x + </span>2). 6-(9612 — 4 - 5a) — (12a<span> — 6612 + </span>3<span>). </span>7<span>. —4m2 + m ... Open-Ended </span>Write<span> a trinomial </span>with<span> a degree of 6. 10. </span>Write<span> the ... (3x + 5</span>)(<span>7x2 - 2x + </span>1<span>) ... </span>Write<span> your answer in simplest form. Factor </span>each<span> expression. </span>31<span>. W2 » 5w — 14. </span>33<span>.</span>
Answer:
x=35°
Step-by-step explanation:
So first, recall that the interior angles of a triangle must total 180°.
The sum of the angles for the given triangle can be described by:
Since the total must equal 180°, set the expression equal to 180°.
To find the value of x, we just need to solve for x.
To start, subtract 110 from both sides. The 110s on the left cancels:
Now, divide both sides by 2. The 2s on the left cancel.
Therefore, the value of x is 35°.
The dice has 6 sides so out of 100% it would be 100/6=16.6666 so each side had a 16.6666% chance
Answer:
7. x=3, 8. x=7, 9. x=15.
Step-by-step explanation:
7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3
8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.
9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.
Hope this helps!
The blanks in this two-column proof should be filled as follows:
<u>Statements Reasons</u>_______________
m∠1 = m∠3 Given
m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate
m∠ABE = m∠3 + m∠2 Substitution Property of Equality
m∠CBD = m∠3 + m∠2 Substitution Property of Equality
m∠ABE ≅ m∠CBD Transitive Property of Equality
<h3>What is the Angle Addition Postulate?</h3>
In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.
This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.
Read more on Angle Addition Postulate here: brainly.com/question/24746945
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