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Mathematics

1 answer:

Shtirlitz [24]3 years ago

7 0

Shifted up 8 and right 7

answer
B. second option

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in parallelogram JKLM, the ratio of the measure of angle J to the measure of angle M is 5:4. Find the measurement of angle J and

Helga [31]

Since we know that these two are consecutive angles and consecutive angles add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg.

5 0

3 years ago

AACB = ADCE. If<br> AC = 5 and BC = 7<br> CD = [ ? ).<br> PLS HELP LOL PLS

FromTheMoon [43]

Answer:

CD = 5

Step-by-step explanation:

AC = 5

BC = 7

∆ACB ≅ ∆DCE, therefore,

AC = CD,

BC = CE, and,

AB = DE

Thus,

AC = CD = 5

CD = 5

6 0

3 years ago

Given gif and GHF, write three proportions involving geometric mean.<br>

almond37 [142]

Answer:

$\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}$

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle ( $\angle G=90\°$ ) to the hypotenuse of the triangle, is:

$GF=h$

Then, based on the Altitude Rule, you can set up the following proportion:

$\frac{z}{h}=\frac{h}{y}$

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

$\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}$