Answer:
These two triangles are congruent.
Step-by-step explanation:
You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.
Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.
Answer:
(-10,-6)
Step-by-step explanation:
When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.
Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:
(-10,-6)
X1-x2/y1-y2 is what you need for ordered pair
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
<h3>How to write the number in standard form?</h3>
The number expression is given as:
(2tens 1 one) x 10
2 tens is represented as:
2 * 10
1 one is represented as:
1 * 1
So, the number expression can be rewritten as:
(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10
Evaluate the product
(2tens 1 one) x 10 = (20 + 1) x 10
Evaluate the sum
(2tens 1 one) x 10 = (21) x 10
Evaluate the product
(2tens 1 one) x 10 = 210
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
Using the above steps as a guide, we have:
- (5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500
- (2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207
- (4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080
Read more about standard form at
brainly.com/question/19169731
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Answer:
17.97=x
Step-by-step explanation:
tan theta = opposite side/ adjacent side
tan 38 = x /23
Multiply each side by 23
23 * tan 38 = x/23 * 23
23 tan 38 = x
17.96956941 =x
To the nearest hundredth
17.97 =x
