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Likurg_2 [28]
3 years ago
15

What is the value of z

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:61

Step-by-step explanation:

Z+Z-11=Z+50

2Z-11=Z+50

Collect like terms

2Z-Z=11+50

Z=61

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
What is x if we have angles are 68 and 70
Natasha_Volkova [10]

Answer:

42

Step-by-step explanation:

7 0
4 years ago
NEED HELP ASAP!!! ALGEBRA 1 STUFF (20pts.)
3241004551 [841]
It's not actually 20 pts it's 10 pts if you send a question and you want 20 pts off it would be 10 for other ppl. like 

10pts off = 5
20pts off = 10
30pts off = 15

and so on so it's like counting by 5's each time you lose points

4 0
3 years ago
Joseph drove for hours at the speed of 40 km per hours he changed his speed to 65 km for the next 2 hours how far had Joseph dri
daser333 [38]

Answer:

The answer to your question is 450 km

Step-by-step explanation:

Data

First stage                      Second stage

speed 1 = 40 km/h         speed 2 = 65 km/h                      

time 1 = 8 h                     time 2 = 2 h

Process

1.- Write the formula to calculate the speed

    speed = distance / time

-Solve for distance

    distance = speed x time

2.- Calculate the distance of the first stage

    distance 1 = 40 x 8

    distance 1 = 320 km

3.- Calculate the distance of the second stage

    distance 2 = 65 x 2

    distance 2 = 130 km

4.- Calculate the total distance

    Total distance = 320 + 130

                             = 450 km

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
ElenaW [278]

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

8 0
2 years ago
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