What is the measure of angle 7?

Mathematics

1 answer:

gladu [14]4 years ago

6 0

Answer: 95°

Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°

Congruent - same meaning as equal

Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.

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What is the answer for 0.8*-23+0.8*-7 with step by step

mariarad [96]

Answer:

-24.

Step-by-step explanation:

0.8*-23+0.8*-7

Use order of operation. Here we have 2 multiplications and one addition The multiplications are done first:

0.8*-23 + 0.8*-7

= -18.4 + -5.6